Continuum Mechanics

The Continuum Mechanics group brings together researchers in fluid and solid mechanics - focussing on both the underlying mathematical theories that accurately describe a wide range of materials, as well as the application of these theories to real-world systems. Our research spans a vast array of lengthscales, from models of dense swarms of swimming bacteria, through to the development of an accurate model of both the fluid and elastic behaviour of the heart, to the flow of vast glaciers or the fluid dynamics of the sun.

Many members of this group are also involved in SofTMech - a large and established Centre of Mathematics for Healthcare, which has had support from the EPSRC since 2016.  The Centre consists of multiple academic, clinical and industrial partners and combines extensive expertise in mathematical, statistical and computational modelling of cardiac and cancer physiology and disease. 


Staff

Publications

2023

Rabbani, A., Gao, H., Lazarus, A., Dalton, D., Ge, Y., Mangion, K., Berry, C., Husmeier, D. (2023) Image-based estimation of the left ventricular cavity volume using deep learning and Gaussian process with cardio-mechanical applications Computerized Medical Imaging and Graphics, 106, (doi: 10.1016/j.compmedimag.2023.102203)

Al Sariri, T., Simitev, R. D., Penta, R. (2023) Optimal heat transport induced by magnetic nanoparticle delivery in vascularised tumours Journal of Theoretical Biology, 561, (doi: 10.1016/j.jtbi.2022.111372)

Miller, L., Penta, R. (2023) Investigating the effects of microstructural changes induced by myocardial infarction on the elastic parameters of the heart Biomechanics and Modeling in Mechanobiology, (doi: 10.1007/s10237-023-01698-2)

Zhang, C., Gao, H., Hu, X. (2023) A multi-order smoothed particle hydrodynamics method for cardiac electromechanics with the Purkinje network Computer Methods in Applied Mechanics and Engineering, 407, (doi: 10.1016/j.cma.2023.115885)

Miller, L., Penta, R. (2023) Micromechanical analysis of the effective stiffness of poroelastic composites European Journal of Mechanics - A/Solids, 98, (doi: 10.1016/j.euromechsol.2022.104875)

Cousins, J. R.L., Bhadwal, A. S., Corson, L. T., Duffy, B. R., Sage, I. C., Brown, C. V., Mottram, N. J., Wilson, S. K. (2023) Weak-anchoring effects in a thin pinned ridge of nematic liquid crystal Physical Review E, 107, (doi: 10.1103/PhysRevE.107.034702)

Xia, Y., Yuan, M., Dobrea, A., Li, C., Heidari, H., Mottram, N., Ghannam, R. (2023) Reconfigurable wearable antenna for 5G applications using nematic liquid crystals Nano Select,

Thekkethil, N., Rossi, S., Gao, H., Richardson, S. I. H., Griffith, B. E., Luo, X. (2023) A stabilized linear finite element method for anisotropic poroelastodynamics with application to cardiac perfusion Computer Methods in Applied Mechanics and Engineering, 405, (doi: 10.1016/j.cma.2022.115877)

Wang, D., Luo, X., Liu, Z., Stewart, P. S. (2023) Flow-induced surface instabilities in a flexible-walled channel with a heavy wall Journal of Fluid Mechanics, 956, (doi: 10.1017/jfm.2022.1086)

Du, Y., Stewart, P., Hill, N. A., Yin, H., Penta, R., Köry, J., Luo, X., Ogden, R. (2023) Nonlinear indentation of second-order hyperelastic materials Journal of the Mechanics and Physics of Solids, 171, (doi: 10.1016/j.jmps.2022.105139)

Simitev, R. D., Al dawoud, A., Aziz, M. H.N., Myles, R., Smith, G. L. (2023) Phenomenological analysis of simple ion channel block in large populations of uncoupled cardiomyocytes Mathematical Medicine and Biology, (doi: 10.1093/imammb/dqad001)

Stewart, P. S., Hilgenfeldt, S. (2023) Gas-liquid foam dynamics: from structural elements to continuum descriptions Annual Reviews of Fluid Mechanics, 55, pp. 323-350. (doi: 10.1146/annurev-fluid-032822-125417)

Bourne, D.P., Pearce, M., Roper, S.M. (2023) Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport Mechanics Research Communications, 127, (doi: 10.1016/j.mechrescom.2022.104023)

2022

Teed, R. J., Dormy, E. (2022) Solenoidal force balances in numerical dynamos arXiv, (doi: 10.48550/arXiv.2212.13625)

Al Sariri, T., Penta, R. (2022) Multi-scale modelling of nanoparticle delivery and heat transport in vascularised tumours Mathematical Medicine and Biology, 39, pp. 332-367. (doi: 10.1093/imammb/dqac009)

Egan, C.P., Bourne, D.P., Cotter, C.J., Cullen, M.J.P., Pelloni, B., Roper, S.M., Wilkinson, M. (2022) A new implementation of the geometric method for solving the Eady slice equations Journal of Computational Physics, 469, (doi: 10.1016/j.jcp.2022.111542)

Gupta, P., Simitev, R.D., MacTaggart, D. (2022) A study of global magnetic helicity in self-consistent spherical dynamos Geophysical and Astrophysical Fluid Dynamics, 116, pp. 521-536. (doi: 10.1080/03091929.2022.2137878)

Yang, Y., Gao, H., Berry, C., Carrick, D., Radjenovic, A., Husmeier, D. (2022) Classification of myocardial blood flow based on dynamic contrast-enhanced magnetic resonance imaging using hierarchical Bayesian models Journal of the Royal Statistical Society: Series C (Applied Statistics), 71, pp. 1085-1115. (doi: 10.1111/rssc.12568)

Lachaud, Q., Aziz, M. H. N., Burton, F. L., Macquaide, N., Myles, R. C., Simitev, R. D., Smith, G. L. (2022) Electrophysiological heterogeneity in large populations of rabbit ventricular cardiomyocytes Cardiovascular Research, 118, pp. 3112-3125. (doi: 10.1093/cvr/cvab375)

Dalton, D., Gao, H., Husmeier, D. (2022) Emulation of cardiac mechanics using Graph Neural Networks Computer Methods in Applied Mechanics and Engineering, 401, (doi: 10.1016/j.cma.2022.115645)

Giusteri, G. G., Penta, R. (2022) Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials Mechanics Research Communications, 126, (doi: 10.1016/j.mechrescom.2022.104001)

Barry, R. G., Hill, N. A., Stewart, P. S. (2022) Continuum soft tissue models from upscaling of arrays of hyperelastic cells Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478, (doi: 10.1098/rspa.2022.0065)

Aziz, M. H.N., Simitev, R. D. (2022) Estimation of parameters for an archetypal model of cardiomyocyte membrane potentials International Journal of Bioautomation, 26, pp. 255-272. (doi: 10.7546/ijba.2022.26.3.000832)

Lesniewska, M., Mottram, N., Henrich, O. (2022) Controllable particle migration in liquid crystal flows Soft Matter, 18, pp. 6942-6953. (doi: 10.1039/D2SM00707J)

Cruz-González, O.L., Ramírez-Torres, A., Rodríguez-Ramos, R., Penta, R., Lebon, F. (2022) Hierarchical heterogeneous one-dimensional problem in linear viscoelastic media European Journal of Mechanics - A/Solids, 95, (doi: 10.1016/j.euromechsol.2022.104617)

Ca, L., Zhao, T., Wang, Y., Luo, X., Gao, H. (2022) Fluid-structure interaction simulation of pathological MV dynamics in a coupled MV-LV model Intelligent Medicine, (doi: 10.1016/j.imed.2022.06.005)

Lazarus, A., Gao, H., Luo, X., Husmeier, D. (2022) Improving cardio-mechanic inference by combining in vivo strain data with ex vivo volume–pressure data Journal of the Royal Statistical Society: Series C (Applied Statistics), 71, pp. 906-931. (doi: 10.1111/rssc.12560)

Husmeier, D., Dalton, D., Lazarus, A., Gao, H. (2022) Forward and Inverse Uncertainty Quantification in Cardiac Mechanics (doi: 10.11159/icsta22.161)

Yang, Y., Gao, H., Berry, C., Radjenovic, A., Husmeier, D. (2022) Myocardial Perfusion Classification Using A Markov Random Field Constrained Gaussian Mixture Model (doi: 10.11159/icsta22.146)

Brown, C. V., Bhadwal, A. S., Edwards, A. M. J., Sage, I. C., Saxena, A., Mottram, N. J. (2022) Frequency-controlled dielectrophoresis-driven wetting of nematic liquid crystals Journal of Physics D: Applied Physics, 55, (doi: 10.1088/1361-6463/ac6466)

Simitev, R. D., MacTaggart, D., Teed, R., Candelaresi, S. (2022) Introduction Geophysical and Astrophysical Fluid Dynamics, 116, pp. 235-236. (doi: 10.1080/03091929.2022.2107377)

Guan, D., Luo, X., Gao, H. (2022) Effect of Myofibre Dispersion on Ventricular Pump Function

Guan, D., Tian, L., Gao, H. (2022) Growth and Remodelling of Right Ventricle Under Pulmonary Arterial Hypertension

Leung, L. T., Kowal, K. N. (2022) Lubricated viscous gravity currents of power-law fluids. Part 1. Self-similar flow regimes Journal of Fluid Mechanics, 940, (doi: 10.1017/jfm.2022.214)

Leung, L. T., Kowal, K. N. (2022) Lubricated viscous gravity currents of power-law fluids. Part 2. Stability analysis Journal of Fluid Mechanics, 940, (doi: 10.1017/jfm.2022.263)

Guan, D., Gao, H., Cai, L., Luo, X. (2022) A new active contraction model for the myocardium using a modified Hill model Computers in Biology and Medicine, 145, (doi: 10.1016/j.compbiomed.2022.105417)

Quinn, J. J., Simitev, R. D. (2022) Flute and kink instabilities in a dynamically twisted flux tube with anisotropic plasma viscosity Monthly Notices of the Royal Astronomical Society, 512, pp. 4982-4992. (doi: 10.1093/mnras/stac704)

Lazarus, A., Dalton, D., Husmeier, D., Gao, H. (2022) Sensitivity analysis and inverse uncertainty quantification for the left ventricular passive mechanics Biomechanics and Modeling in Mechanobiology, 21, pp. 953-982. (doi: 10.1007/s10237-022-01571-8)

Borowska, A., Gao, H., Lazarus, A., Husmeier, D. (2022) Bayesian optimisation for efficient parameter inference in a cardiac mechanics model of the left ventricle International Journal for Numerical Methods in Biomedical Engineering, 38, (doi: 10.1002/cnm.3593)

Qi, N., Lockington, D., Wang, L., Ramaesh, K., Luo, X. (2022) Estimations of critical clear corneal incisions required for lens insertion in cataract surgery: a mathematical aspect Frontiers in Physiology, 13, (doi: 10.3389/fphys.2022.834214)

Griffiths, I. M., Stewart, P. S. (2022) A hybrid discrete–continuum framework for modelling filtration Journal of Membrane Science, 647, (doi: 10.1016/j.memsci.2022.120258)

Zhuan, X., Luo, X.Y. (2022) Volumetric growth of soft tissues evaluated in the current configuration Biomechanics and Modeling in Mechanobiology, 21, pp. 569-588. (doi: 10.1007/s10237-021-01549-y)

Cousins, J. R.L., Duffy, B. R., Wilson, S. K., Mottram, N. J. (2022) Young and Young–Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478, (doi: 10.1098/rspa.2021.0849)

Škarabot, M., Mottram, N. J., Kaur, S., Imrie, C. T., Forsyth, E., Storey, J. M. D., Mazur, R., Piecek, W., Komitov, L. (2022) Flexoelectric polarization in a nematic liquid crystal enhanced by dopants with different molecular shape polarities ACS Omega, 7, pp. 9785-9795. (doi: 10.1021/acsomega.2c00023)

Herrada, M.A., Blanco-Trejo, S., Eggers, J., Stewart, P.S. (2022) Global stability analysis of flexible channel flow with a hyperelastic wall Journal of Fluid Mechanics, 934, (doi: 10.1017/jfm.2021.1131)

Ren, J., Sun, H., Zhao, H., Gao, H., Maclellan, C., Zhao, S., Luo, X. (2022) Effective extraction of ventricles and myocardium objects from cardiac magnetic resonance images with a multi-task learning U-Net Pattern Recognition Letters, 155, pp. 165-170. (doi: 10.1016/j.patrec.2021.10.025)

Huethorst, E., Mortensen, P., Simitev, R. D., Gao, H., Pohjolainen, L., Talman, V., Ruskoaho, H., Burton, F. L., Gadegaard, N., Smith, G. L. (2022) Conventional rigid 2D substrates cause complex contractile signals in monolayers of human induced pluripotent stem cell derived cardiomyocytes Journal of Physiology, 600, pp. 483-507. (doi: 10.1113/JP282228)

Ramírez-Torres, A., Penta, R., Grillo, A. (2022) Two-scale, non-local diffusion in homogenised heterogeneous media Archive of Applied Mechanics, 92, pp. 559-595. (doi: 10.1007/s00419-020-01880-3)

Wang, Z., Wang, C., Zhao, F., Qi, N., Lockington, D., Ramaesh, K., Stewart, P. S., Luo, X., Tang, H. (2022) Simulation of fluid-structure interaction during the phaco-emulsification stage of cataract surgery International Journal of Mechanical Sciences, 214, (doi: 10.1016/j.ijmecsci.2021.106931)

Guan, D., Mei, Y., Xu, L., Cai, L., Luo, X., Gao, H. (2022) Effects of dispersed fibres in myocardial mechanics, Part I: passive response Mathematical Biosciences and Engineering, 19, pp. 3972-3993. (doi: 10.3934/mbe.2022183)

Guan, D., Wang, Y., Xu, L., Cai, L., Luo, X., Gao, H. (2022) Effects of dispersed fibres in myocardial mechanics, Part II: active response Mathematical Biosciences and Engineering, 19, pp. 4101-4119. (doi: 10.3934/mbe.2022189)

Cai, L., Hao, Y., Ma, P., Zhu, G., Luo, X., Gao, H. (2022) Fluid-structure interaction simulation of calcified aortic valve stenosis Mathematical Biosciences and Engineering, 19, pp. 13172-13192. (doi: 10.3934/mbe.2022616)

2021

Candelaresi, S., Hornig, G., MacTaggart, D., Simitev, R. D. (2021) On self and mutual winding helicity Communications in Nonlinear Science and Numerical Simulation, 103, (doi: 10.1016/j.cnsns.2021.106015)

Kowal, K. N. (2021) Viscous banding instabilities: non-porous viscous fingering Journal of Fluid Mechanics, 926, (doi: 10.1017/jfm.2021.660)

Teed, R. J., Latter, H. N. (2021) Axisymmetric simulations of the convective overstability in protoplanetary discs Monthly Notices of the Royal Astronomical Society, 507, pp. 5523-5541. (doi: 10.1093/mnras/stab2311)

Miller, L., Penta, R. (2021) Double poroelasticity derived from the microstructure Acta Mechanica, 232, pp. 3801-3823. (doi: 10.1007/s00707-021-03030-4)

Wang, D.Y., Luo, X.Y., Stewart, P.S. (2021) Energetics of collapsible channel flow with a nonlinear fluid-beam model Journal of Fluid Mechanics, 926, (doi: 10.1017/jfm.2021.642)

Melnikov, A., Ogden, R. W., Dorfmann, L., Merodio, J. (2021) Bifurcation analysis of elastic residually-stressed circular cylindrical tubes International Journal of Solids and Structures, 226-27, (doi: 10.1016/j.ijsolstr.2021.111062)

Ramírez-Torres, A., Di Stefano, S., Grillo, A. (2021) Influence of non-local diffusion in avascular tumour growth Mathematics and Mechanics of Solids, 26, pp. 1264-1293. (doi: 10.1177/1081286520975086)

Romaszko, L., Borowska, A., Lazarus, A., Dalton, D., Berry, C., Luo, X., Husmeier, D., Gao, H. (2021) Neural network-based left ventricle geometry prediction from CMR images with application in biomechanics Artificial Intelligence In Medicine, 119, (doi: 10.1016/j.artmed.2021.102140)

Guan, D., Luo, X., Gao, H. (2021) Constitutive modelling of soft biological tissue from ex vivo to in vivo: myocardium as an example Springer

Feng, L., Gao, H., Qi, N., Danton, M., Hill, N. A., Luo, X. (2021) Fluid-structure interaction in a fully coupled three-dimensional mitral-atrium-pulmonary model Biomechanics and Modeling in Mechanobiology, 20, pp. 1267-1295. (doi: 10.1007/s10237-021-01444-6)

Huang, R., Ogden, R., Penta, R. (2021) Mathematical modelling of residual-stress based volumetric growth in soft matter Journal of Elasticity, 145, pp. 223-241. (doi: 10.1007/s10659-021-09834-8)

Dalton, D., Lazarus, A., Rabbani, A., Gao, H., Husmeier, D. (2021) Graph Neural Network Emulation of Cardiac Mechanics (doi: 10.11159/icsta21.127)

Miller, L., Penta, R. (2021) Homogenized balance equations for nonlinear poroelastic composites Applied Sciences, 11, (doi: 10.3390/app11146611)

Wang, D., Luo, X., Stewart, P. S. (2021) Multiple steady and oscillatory solutions in a collapsible channel flow International Journal of Applied Mechanics, 13, (doi: 10.1142/S1758825121500587)

Cai, L., Zhang, R., Li, Y., Zhu, G., Ma, X., Wang, Y., Luo, X., Gao, H. (2021) The comparison of different constitutive laws and fiber architectures for the aortic valve on fluid-structure interaction simulation Frontiers in Physiology, 12, (doi: 10.3389/fphys.2021.682893)

Quinn, J., MacTaggart, D., Simitev, R. D. (2021) Kelvin-Helmholtz instability and collapse of a twisted magnetic nullpoint with anisotropic viscosity Astronomy and Astrophysics, 650, (doi: 10.1051/0004-6361/202140460)

Thomson, S. J., Durey, M., Rosales, R. R. (2021) Discrete and periodic complex Ginzburg-Landau equation for a hydrodynamic active lattice Physical Review E, 103, (doi: 10.1103/PhysRevE.103.062215)

Cruz-González, O.L., Ramírez-Torres, A., Rodríguez-Ramos, R., Otero, J.A., Penta, R., Lebon, F. (2021) Effective behavior of long and short fiber-reinforced viscoelastic composites Applications in Engineering Science, 6, (doi: 10.1016/j.apples.2021.100037)

Guan, D., Zhuan, X., Holmes, W., Luo, X., Gao, H. (2021) Modelling of fibre dispersion and its effects on cardiac mechanics from diastole to systole Journal of Engineering Mathematics, 128, (doi: 10.1007/s10665-021-10102-w)

da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T., Xayxanadasy, K. (2021) Steady state solutions in a model of a cholesteric liquid crystal sample Afrika Matematika, 32, pp. 645-672. (doi: 10.1007/s13370-020-00851-9)

Aziz, M. H.N., Simitev, R. D. (2021) Code for Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane Potentials (doi: 10.5281/zenodo.4568662)

Heath Richardson, S. I., Gao, H., Cox, J., Janiczek, R., Griffith, B. E., Berry, C., Luo, X. (2021) A poroelastic immersed finite element framework for modeling cardiac perfusion and fluid-structure interaction International Journal for Numerical Methods in Biomedical Engineering, 37, (doi: 10.1002/cnm.3446)

Dorfmann, L., Ogden, R. W. (2021) The effect of residual stress on the stability of a circular cylindrical tube Journal of Engineering Mathematics, 127, (doi: 10.1007/s10665-021-10097-4)

Wang, Y., Cai, L., Feng, X., Luo, X., Gao, H. (2021) A ghost structure finite difference method for a fractional FitzHugh-Nagumo monodomain model on moving irregular domain Journal of Computational Physics, 428, (doi: 10.1016/j.jcp.2020.110081)

Mortensen, P., Gao, H., Smith, G., Simitev, R. D. (2021) Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling Mathematical Medicine and Biology, 38, pp. 106-131. (doi: 10.1093/imammb/dqaa014)

Durey, M., Bush, J. W.M. (2021) Classical pilot-wave dynamics: the free particle Chaos: An Interdisciplinary Journal of Nonlinear Science, 31, (doi: 10.1063/5.0039975)

Li, W., Gao, H., Mangion, K., Berry, C., Luo, X. (2021) Apparent growth tensor of left ventricular post myocardial infarction – in human first natural history study Computers in Biology and Medicine, 129, (doi: 10.1016/j.compbiomed.2020.104168)

Su, Y., Ogden, R. W., Destrade, M. (2021) Bending control and stability of functionally graded dielectric elastomers Extreme Mechanics Letters, 43, (doi: 10.1016/j.eml.2020.101162)

Simitev, R. D., Busse, F. H. (2021) Onset of inertial magnetoconvection in rotating fluid spheres Fluids, 6, (doi: 10.3390/fluids6010041)

Mather, J. F., Simitev, R. D. (2021) Regimes of thermo-compositional convection and related dynamos in rotating spherical shells Geophysical and Astrophysical Fluid Dynamics, 115, pp. 61-84. (doi: 10.1080/03091929.2020.1762875)

Cai, L., Ren, L., Wang, Y., Xie, W., Zhi, G., Gao, H. (2021) Surrogate models based on machine learning methods for parameter estimation of left ventricular myocardium Royal Society Open Science, 8, (doi: 10.1098/rsos.201121)

Cruz-González, O. L., Ramírez-Torres, A., Rodríguez-Ramos, R., Penta, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Sabina, F. J., Lebon, F. (2021) A hierarchical asymptotic homogenization approach for viscoelastic composites Mechanics of Advanced Materials and Structures, 28, pp. 2190-2201. (doi: 10.1080/15376494.2020.1722872)

Mortensen, P., Gao, H., Smith, G., Simitev, R. D. (2021) Addendum: Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling Mathematical Medicine and Biology, 38, pp. 292-298. (doi: 10.1093/imammb/dqab005)

Penta, R., Ramirez Torres, A., Merodio, J., Rodríguez-Ramos, R. (2021) Effective governing equations for heterogenous porous media subject to inhomogeneous body forces Mathematics in Engineering, 3, pp. 1-17. (doi: 10.3934/mine.2021033)

Da Silva Costa, A., Mortensen, P., Hortigon-Vinagre, M. P., van der Heyden, M. A. G., Burton, F. L., Gao, H., Simitev, R. D., Smith, G. L. (2021) Electrophysiology of hiPSC-cardiomyocytes co-cultured with HEK cells expressing the inward rectifier channel International Journal of Molecular Sciences, 22, (doi: 10.3390/ijms22126621)

2020

Silva, L., Gupta, P., Mactaggart, D., Simitev, R. (2020) Effects of shell thickness on cross-helicity generation in convection-driven spherical dynamos Fluids, 5, (doi: 10.3390/fluids5040245)

Paun, L. M., Colebank, M. J., Olufsen, M. S., Hill, N. A., Husmeier, D. (2020) Assessing model mismatch and model selection in a Bayesian uncertainty quantification analysis of a fluid-dynamics model of pulmonary blood circulation Journal of the Royal Society: Interface, 17, (doi: 10.1098/rsif.2020.0886)

Hashlamoun, K., Abusara, Z., Ramirez Torres, A., Grillo, A., Herzog, W., Federico, S. (2020) Fluorescence recovery after photobleaching: direct measurement of diffusion anisotropy Biomechanics and Modeling in Mechanobiology, 19, pp. 2397-2412. (doi: 10.1007/s10237-020-01346-z)

Lockington, D., Wang, Z., Qi, N., Malyugin, B., Cai, L., Wang, C., Tang, H., Ramaesh, K., Luo, X. (2020) Modelling floppy iris syndrome and the impact of pupil size and ring devices on iris displacement Eye, 34, pp. 2227-2234. (doi: 10.1038/s41433-020-0782-7)

Cruz-González, O.L., Rodríguez-Ramos, R., Otero, J.A., Ramirez Torres, A., Penta, R., Lebon, F. (2020) On the effective behavior of viscoelastic composites in three dimensions International Journal of Engineering Science, 157, (doi: 10.1016/j.ijengsci.2020.103377)

Ogden, R.W. (2020) Peter Chadwick. 23 March 1931—12 August 2018 Biographical Memoirs of Fellows of the Royal Society, 69, pp. 109-131. (doi: 10.1098/rsbm.2020.0012)

Cousins, J. R. L., Wilson, S.K., Mottram, N. J., Wilkes, D., Weegels, L. (2020) Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoring Physical Review E, 102, (doi: 10.1103/PhysRevE.102.062703)

Miller, L., Penta, R. (2020) Effective balance equations for poroelastic composites Continuum Mechanics and Thermodynamics, 32, pp. 1533-1557. (doi: 10.1007/s00161-020-00864-6)

Chen, S., Ratna Sari, C., Gao, H., Lei, Y., Segers, P., De Beule, M. (2020) Mechanical and morphometric study of mitral valve chordae tendineae and related papillary muscle Journal of the Mechanical Behavior of Biomedical Materials, 111, (doi: 10.1016/j.jmbbm.2020.104011)

Morrow, A. J., Ford, T. J., Mangion, K., Kotecha, T., Rakhit, R., Galasko, G., Hoole, S., Davenport, A., Kharbanda, R., Ferreira, V. M., Shanmuganathan, M., Chiribiri, A., Perera, D., Rahman, H., Arnold, J. R., Greenwood, J. P., Fisher, M., Husmeier, D., Hill, N. A., Luo, X., Williams, N., Miller, L., Dempster, J., Macfarlane, P. W., Welsh, P., Sattar, N., Whittaker, A., McConnachie, A., Padmanabhan, S., Berry, C. (2020) Rationale and design of the Medical Research Council precision medicine with Zibotentan in microvascular angina (PRIZE) trial American Heart Journal, 229, pp. 70-80. (doi: 10.1016/j.ahj.2020.07.007)

Durey, M. (2020) Bifurcations and chaos in a Lorenz-like pilot-wave system Chaos: An Interdisciplinary Journal of Nonlinear Science, 30, (doi: 10.1063/5.0020775)

Cousins, J. R. L. (2020) TakeAIM 2019: [1 New Notification] Mathematics Today, 56, pp. 206.

Durey, M. (2020) The Who Wants to be a Millionaire dilemma Mathematics Magazine, 93, pp. 374-377. (doi: 10.1080/0025570X.2020.1826848)

El Hamdaoui, M., Merodio, J., Ogden, R.W. (2020) Two-phase piecewise homogeneous plane deformations of a fibre-reinforced neo-Hookean material with application to fibre kinking and splitting Journal of the Mechanics and Physics of Solids, 143, (doi: 10.1016/j.jmps.2020.104091)

Di Stefano, S., Miller, L., Grillo, A., Penta, R. (2020) Effective balance equations for electrostrictive composites Zeitschrift für Angewandte Mathematik und Physik, 71, (doi: 10.1007/s00033-020-01365-x)

Kowal, K. N., Worster, M. G. (2020) The formation of grounding zone wedges: theory and experiments Journal of Fluid Mechanics, 898, (doi: 10.1017/jfm.2020.393)

Dehghani, H., Noll, I., Penta, R., Menzel, A., Merodio, J. (2020) The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials European Journal of Mechanics - A/Solids, 83, (doi: 10.1016/j.euromechsol.2020.103996)

Durey, M., Bush, J. W.M. (2020) Hydrodynamic quantum field theory: the onset of particle motion and the form of the pilot wave Frontiers in Physics, 8, (doi: 10.3389/fphy.2020.00300)

Liu, R., Xu, S., Luo, X., Liu, Z. (2020) Theoretical and Numerical Analysis of mechanical behaviors of a metamaterial-based shape memory polymer stent Polymers, 12, (doi: 10.3390/polym12081784)

Walton, J., McKay, G., Grinfeld, M., Mottram, N. J. (2020) Pressure-driven changes to spontaneous flow in active nematic liquid crystals European Physical Journal E, 43, (doi: 10.1140/epje/i2020-11973-8)

Zhuan, X., Luo, X. (2020) Residual stress estimates from multi-cut opening angles of the left ventricle Cardiovascular Engineering and Technology, 11, pp. 381-393. (doi: 10.1007/s13239-020-00467-x)

Thomson, S. J., Durey, M., Rosales, R. R. (2020) Collective vibrations of a hydrodynamic active lattice Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2020.0155)

Durey, M., Turton, S. E., Bush, J. W. M. (2020) Speed oscillations in classical pilot-wave dynamics Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0884)

Conroy Broderick, H., Righi, M., Destrade, M., Ogden, R. W. (2020) Stability analysis of charge-controlled soft dielectric plates International Journal of Engineering Science, 151, (doi: 10.1016/j.ijengsci.2020.103280)

Durey, M., Milewski, P. A., Wang, Z. (2020) Faraday pilot-wave dynamics in a circular corral Journal of Fluid Mechanics, 891, (doi: 10.1017/jfm.2020.140)

Melnikov, A., Dorfmann, L., Ogden, R. W. (2020) Bifurcation of finitely deformed thick-walled electroelastic spherical shells subject to a radial electric field International Journal of Non-Linear Mechanics, 121, (doi: 10.1016/j.ijnonlinmec.2020.103429)

Li, W., Lazarus, A., Gao, H., Martinez De Azcona Naharro, A., Fontana, M., Hawkins, P., Biswas, S., Janiczek, R., Cox, J., Berry, C., Husmeier, D., Luo, X. (2020) Analysis of cardiac amyloidosis progression using model-based markers Frontiers in Physiology, 11, (doi: 10.3389/fphys.2020.00324)

Holzapfel, G., Ogden, R. (2020) A damage model for collagen fibres with an application to collagenous soft tissues Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0821)

Quinn, J., MacTaggart, D., Simitev, R. (2020) The effect of anisotropic viscosity on the nonlinear MHD kink instability Communications in Nonlinear Science and Numerical Simulation, 83, (doi: 10.1016/j.cnsns.2019.105131)

Bhadwal, A.S., Mottram, N.J., Saxena, A., Sage, I.C., Brown, C.V. (2020) Electrically controlled topological micro cargo transportation Soft Matter, 16, pp. 2961-2970. (doi: 10.1039/C9SM01956A)

Holzapfel, G. A., Ogden, R. W. (2020) An arterial constitutive model accounting for collagen content and cross-linking Journal of the Mechanics and Physics of Solids, 136, (doi: 10.1016/j.jmps.2019.103682)

Guan, D., Yao, J., Luo, X., Gao, H. (2020) Effect of myofibre architecture on ventricular pump function by using a neonatal porcine heart model: from DT-MRI to rule-based methods Royal Society Open Science, 7, (doi: 10.1098/rsos.191655)

Griffiths, I.M., Mitevski, I., Vujkovac, I., Illingworth, M.R., Stewart, P.S. (2020) The role of tortuosity in filtration efficiency: a general network model for filtration Journal of Membrane Science, 598, (doi: 10.1016/j.memsci.2019.117664)

Spelman, T.A., Stewart, P.S. (2020) Shock wave propagation along the central retinal blood vessels Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0269)

Merodio, J., Ogden, R. (2020) Basic equations of continuum mechanics Springer

(2020) Constitutive Modelling of Solid Continua (doi: 10.1007/978-3-030-31547-4)

Wang, Y., Lan, H., Yin, T., Zhang, X., Huang, J., Fu, H., Huang, J., McGinty, S., Gao, H., Wang, G., Wang, Z. (2020) Covalent immobilization of biomolecules on stent materials through mussel adhesive protein coating to form biofunctional films Materials Science and Engineering C: Materials for Biological Applications, 106, (doi: 10.1016/j.msec.2019.110187)

Merodio, J., Ogden, R. (2020) Finite deformation elasticity theory Springer

Dorfmann, L., Ogden, R. (2020) Nonlinear constitutive modeling of electroelastic solids Springer

Dorfmann, L., Ogden, R. W. (2020) Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0701)

Bravo-Castillero, J., Ramírez-Torres, A., Sabina, F. J., García-Reimbert, C., Guinovart-Díaz, R., Rodríguez-Ramos, R. (2020) Analytical formulas for complex permittivity of periodic composites. Estimation of gain and loss enhancement in active and passive composites Waves in Random and Complex Media, 30, pp. 593-613. (doi: 10.1080/17455030.2018.1546063)

Bourne, D.P., Kok, P.J.J., Roper, S.M., Spanjer, W.D.T. (2020) Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes Philosophical Magazine, 100, pp. 2677-2707. (doi: 10.1080/14786435.2020.1790053)

2019

Yañez-Olmos, D., Bravo-Castillero, J., Ramírez-Torres, A., Rodríguez-Ramos, R., Sabina, F. J. (2019) Effective coefficients of isotropic complex dielectric composites in a hexagonal array Technische Mechanik, 39, pp. 220-228. (doi: 10.24352/UB.OVGU-2019-020)

Grillo, A., Di Stefano, S., Ramírez‐Torres, A., Loverre, M. (2019) A study of growth and remodeling in isotropic tissues, based on the Anand‐Aslan‐Chester theory of strain‐gradient plasticity GAMM Mitteilungen, 42, (doi: 10.1002/gamm.201900015)

Feng, L., Gao, H., Griffith, B. E., Niderer, S. A., Luo, X. (2019) Analysis of a coupled fluid-structure interaction model of the left atrium and mitral valve International Journal for Numerical Methods in Biomedical Engineering, 35, (doi: 10.1002/cnm.3254)

Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Grillo, A. (2019) Effective properties of hierarchical fiber-reinforced composites via a three-scale asymptotic homogenization approach Mathematics and Mechanics of Solids, 24, pp. 3554-3574. (doi: 10.1177/1081286519847687)

Sherifova, S., Sommer, G., Viertler, C., Regitnig, P., Caranasos, T., Smith, M. A., Griffith, B. E., Ogden, R. W., Holzapfel, G. A. (2019) Failure properties and microstructure of healthy and aneurysmatic human thoracic aortas subjected to uniaxial extension with a focus on the media Acta Biomaterialia, 99, pp. 443-456. (doi: 10.1016/j.actbio.2019.08.038)

Davies, V., Noè, U., Lazarus, A., Gao, H., Macdonald, B., Berry, C., Luo, X., Husmeier, D. (2019) Fast parameter inference in a biomechanical model of the left ventricle by using statistical emulation Journal of the Royal Statistical Society: Series C (Applied Statistics), 68, pp. 1555-1576. (doi: 10.1111/rssc.12374)

Marchena-Menéndez, J., Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Merodio, J. (2019) Macroscopic thermal profile of heterogeneous cancerous breasts. A three-dimensional multiscale analysis International Journal of Engineering Science, 144, (doi: 10.1016/j.ijengsci.2019.103135)

Liu, R., McGinty, S., Cui, F., Luo, X., Liu, Z. (2019) Modelling and simulation of the expansion of a shape memory polymer stent Engineering Computations, 36, pp. 2726-2746. (doi: 10.1108/EC-10-2018-0462)

Cai, L., Wang, Y., Gao, H., Ma, X.S., Zhu, G.Y., Zhang, R.H., Shen, X.Q., Luo, X. (2019) Some effects of different constitutive laws on simulating mitral valve dynamics with FSI Scientific Reports, 9, (doi: 10.1038/s41598-019-49161-6)

Cruz-González, O.L., Guinovart-Sanjuán, D., Rodríguez-Ramos, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Penta, R., Otero, J. A., Dumont, S., Lebon, F., Sabina, F.J. (2019) An approach for modeling non-ageing linear viscoelastic composites with general periodicity Composite Structures, 223, (doi: 10.1016/j.compstruct.2019.110927)

Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Grillo, A., Preziosi, L., Merodio, J., Guinovart-Díaz, R., Bravo-Castillero, J. (2019) Homogenized out-of-plane shear response three-scale fiber-reinforced composites Computing and Visualization in Science, 20, pp. 85-93. (doi: 10.1007/s00791-018-0301-6)

Kowal, K. N., Davis, S. H., Voorhees, P. W. (2019) Surface deformations in dynamic thermocapillary convection under partial slip Physical Review E, 100, (doi: 10.1103/PhysRevE.100.022802)

Guan, D., Ahmad, F., Theobald, P., Soe, S., Luo, X., Gao, H. (2019) On the AIC based model reduction for the general Holzapfel-Ogden myocardial constitutive law Biomechanics and Modeling in Mechanobiology, 18, pp. 1213-1232. (doi: 10.1007/s10237-019-01140-6)

Romaszko, L., Borowska, A., Lazarus, A., Gao, H., Luo, X., Husmeier, D. (2019) Direct Learning Left Ventricular Meshes from CMR Images (doi: 10.11159/icsta19.25)

Paun, L. M., Colebank, M., Qureshi, M. U., Olufsen, M., Hill, N., Husmeier, D. (2019) MCMC with Delayed Acceptance using a Surrogate Model with an Application to Cardiovascular Fluid Dynamics (doi: 10.11159/icsta19.28)

Romaszko, L., Lazarus, A., Gao, H., Borowska, A., Luo, X., Husmeier, D. (2019) Massive Dimensionality Reduction for the Left Ventricular Mesh (doi: 10.11159/icsta19.24)

Yang, Y., Gao, H., Berry, C., Radjenovic, A., Husmeier, D. (2019) Quantification of Myocardial Perfusion Lesions Using Spatially Variant Finite Mixture Modelling of DCE-MRI (doi: 10.11159/icsta19.26)

Husmeier, D., Lazarus, A., Noè, U., Davies, V., Borowska, A., Macdonald, B., Gao, H., Berry, C., Luo, X. (2019) Statistical Emulation of Cardiac Mechanics: an Important Step Towards a Clinical Decision Support System (doi: 10.11159/icsta19.29)

Hori, K., Teed, R. J., Jones, C.A. (2019) Anelastic torsional oscillations in Jupiter's metallic hydrogen region Earth and Planetary Science Letters, 519, pp. 50-60. (doi: 10.1016/j.epsl.2019.04.042)

Cai, L., Guo, M., Li, Y., Ying, W., Gao, H., Luo, X. (2019) Nonstandard finite difference method for nonlinear Riesz space fractional reaction-diffusion equation International Journal of Numerical Analysis and Modeling, 16, pp. 925-938.

Cousins, J.R.L., Wilson, S.K., Mottram, N.J., Wilkes, D., Weegels, L. (2019) Squeezing a drop of nematic liquid crystal with strong elasticity effects Physics of Fluids, 31, (doi: 10.1063/1.5110878)

Wang, Y., Cai, L., Luo, X., Ying, W., Gao, H. (2019) Simulation of action potential propagation based on the ghost structure method Scientific Reports, 9, (doi: 10.1038/s41598-019-47321-2)

Noè, U., Lazarus, A., Gao, H., Davies, V., Macdonald, B., Mangion, K., Berry, C., Luo, X., Husmeier, D. (2019) Gaussian process emulation to accelerate parameter estimation in a mechanical model of the left ventricle: a critical step towards clinical end-user relevance Journal of the Royal Society: Interface, 16, (doi: 10.1098/rsif.2019.0114)

Kowal, K. N., Worster, M. G. (2019) Stability of lubricated viscous gravity currents. Part 1. Internal and frontal analyses and stabilisation by horizontal shear Journal of Fluid Mechanics, 871, pp. 970-1006. (doi: 10.1017/jfm.2019.321)

Duanmu, Z., Chen, W., Gao, H., Yang, X., Luo, X., Wang, T., Hill, N. A. (2019) A one-dimensional hemodynamic model of the coronary arterial tree Frontiers in Physiology, 10, (doi: 10.3389/fphys.2019.00853)

Stewart, P. S., Foss, A. J.E. (2019) Self-excited oscillations in a collapsible channel with applications to retinal venous pulsation ANZIAM Journal, 61, pp. 320-348. (doi: 10.1017/S1446181119000117)

Kowal, K. N., Worster, M. G. (2019) Stability of lubricated viscous gravity currents. Part 2. Global analysis and stabilisation by buoyancy forces Journal of Fluid Mechanics, 871, pp. 1007-1027. (doi: 10.1017/jfm.2019.322)

Guan, D., Yao, J., Luo, X., Gao, H. (2019) Effects of Myofibre Architecture on Biventricular Biomechanics: a Simulation Study

Lesniewska, M., Henrich, O., Mottram, N. (2019) Microfluidic Flow of Colloid-Liquid Crystal Composite Materials

Holzapfel, G., Ogden, R., Sherifova, S. (2019) On fibre dispersion modelling of soft biological tissues: a review Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 475, (doi: 10.1098/rspa.2018.0736)

Melnik, A. V., Luo, X., Ogden, R. W. (2019) A para-universal relation for orthotropic materials Mechanics Research Communications, 97, pp. 46-51. (doi: 10.1016/j.mechrescom.2019.04.006)

Li, B., Roper, S. M., Wang, L., Luo, X., Hill, N.A. (2019) An incremental deformation model of arterial dissection Journal of Mathematical Biology, 78, pp. 1277-1298. (doi: 10.1007/s00285-018-1309-8)

Dorfmann, L., Ogden, R. W. (2019) Electroelastic plate instabilities based on the Stroh method in terms of the energy function Ω*(F, DL) Mechanics Research Communications, 96, pp. 67-74. (doi: 10.1016/j.mechrescom.2019.03.002)

Dehghani, H., Penta, R., Merodio, J. (2019) The role of porosity and solid matrix compressibility on the mechanical behavior of poroelastic tissues Materials Research Express, 6, (doi: 10.1088/2053-1591/aaf5b9)

Kowal, K. N., Davis, S. H. (2019) Strong shear-flow modulation of instabilities in rapid directional solidification Acta Materialia, 164, pp. 464-472. (doi: 10.1016/j.actamat.2018.10.054)

Umar Qureshi, M., Colebank, M. J., Paun, L. M., Ellwein, L., Chesler, N., Haider, M. A., Hill, N. A., Husmeier, D., Olufsen, M. S. (2019) Hemodynamic assessment of pulmonary hypertension in mice: a model based analysis of the disease mechanism Biomechanics and Modeling in Mechanobiology, 18, pp. 219-243. (doi: 10.1007/s10237-018-1078-8)

Zhuan, X., Luo, X., Gao, H., Ogden, R. W. (2019) Coupled agent-based and hyperelastic modelling of the left ventricle post-myocardial infarction International Journal for Numerical Methods in Biomedical Engineering, 35, (doi: 10.1002/cnm.3155)

Teed, R.J., Jones, C.A., Tobias, S.M. (2019) Torsional waves driven by convection and jets in Earth’s liquid core Geophysical Journal International, 216, pp. 123-129. (doi: 10.1093/gji/ggy416)

Alqahtani, Z.M., El-Shahed, M., Mottram, N.J. (2019) Derivative-order-dependent stability and transient behaviour in a predator–prey system of fractional differential equations Letters in Biomathematics, 6, pp. 32-49. (doi: 10.1080/23737867.2019.1656115)

Rodríguez-Ramos, R., Ramírez-Torres, A., Bravo-Castillero, J., Guinovart-Díaz, R., Guinovart-Sanjuán, D., Cruz-González, O. L., Sabina, F. J., Merodio, J., Penta, R. (2019) Multiscale homogenization for linear mechanics Springer

Penta, R., Miller, L., Grillo, A., Ramírez-Torres, A., Mascheroni, P., Rodríguez-Ramos, R. (2019) Porosity and diffusion in biological tissues. Recent advances and further perspectives Springer

Silva, L. A.C., Mather, J. F., Simitev, R. D. (2019) The onset of thermo-compositional convection in rotating spherical shells Geophysical and Astrophysical Fluid Dynamics, 113, pp. 377-404. (doi: 10.1080/03091929.2019.1640875)

2018

Cousins, J. R.L., Wilson, S. K., Mottram, N. J., Wilkies, D., Weegels, L., Lin, K. (2018) A Model for the Formation of Mura During the One-Drop-Filling Process

Melnik, A. V., Luo, X., Ogden, R. W. (2018) A generalised structure tensor model for the mixed invariant I8 International Journal of Non-Linear Mechanics, 107, pp. 137-148. (doi: 10.1016/j.ijnonlinmec.2018.08.018)

Feng, L., Qi, N., Gao, H., Sun, W., Vazquez, M., Griffith, B.E., Luo, X.Y. (2018) On the chordae structure and dynamic behaviour of the mitral valve IMA Journal of Applied Mathematics, 83, pp. 1066-1091. (doi: 10.1093/imamat/hxy035)

Singh, B., Ogden, R. W. (2018) Reflection of plane waves from the boundary of an incompressible finitely deformed electroactive half-space Zeitschrift für Angewandte Mathematik und Physik, 69, (doi: 10.1007/s00033-018-1044-4)

Kowal, K. N., Davis, S. H., Voorhees, P. W. (2018) Thermocapillary instabilities in a horizontal liquid layer under partial basal slip Journal of Fluid Mechanics, 855, pp. 839-859. (doi: 10.1017/jfm.2018.684)

Ramírez-Torres, A., Di Stefano, S., Grillo, A., Rodríguez-Ramos, R., Merodio, J., Penta, R. (2018) An asymptotic homogenization approach to the microstructural evolution of heterogeneous media International Journal of Non-Linear Mechanics, 106, pp. 245-257. (doi: 10.1016/j.ijnonlinmec.2018.06.012)

Di Stefano, S., Ramírez-Torres, A., Penta, R., Grillo, A. (2018) Self-influenced growth through evolving material inhomogeneities International Journal of Non-Linear Mechanics, 106, pp. 174-187. (doi: 10.1016/j.ijnonlinmec.2018.08.003)

Dorfmann, L., Ogden, R. W. (2018) The effect of deformation dependent permittivity on the elastic response of a finitely deformed dielectric tube Mechanics Research Communications, 93, pp. 47-57. (doi: 10.1016/j.mechrescom.2017.09.002)

Holzapfel, G. A., Ogden, R. W. (2018) Biomechanical relevance of the microstructure in artery walls with a focus on passive and active components American Journal of Physiology: Heart and Circulatory Physiology, 315, pp. H540-H549. (doi: 10.1152/ajpheart.00117.2018)

Durey, M., Milewski, P. A., Bush, J. W. M. (2018) Dynamics, emergent statistics, and the mean-pilot-wave potential of walking droplets Chaos: An Interdisciplinary Journal of Nonlinear Science, 28, (doi: 10.1063/1.5030639)

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) An exponential constitutive model excluding fibers under compression: application to extension-inflation of a residually stressed carotid artery Mathematics and Mechanics of Solids, 23, pp. 1206-1224. (doi: 10.1177/1081286517712077)

Păun, L. M., Qureshi, M. U., Colebank, M., Hill, N. A., Olufsen, M. S., Haider, M. A., Husmeier, D. (2018) MCMC methods for inference in a mathematical model of pulmonary circulation Statistica Neerlandica, 72, pp. 306-338. (doi: 10.1111/stan.12132)

Zhang, S., Luo, X., Cai, Z. (2018) Three-dimensional flows in a hyperelastic vessel under external pressure Biomechanics and Modeling in Mechanobiology, 17, pp. 1187-1207. (doi: 10.1007/s10237-018-1022-y)

Silva, L. A.C., Simitev, R. D. (2018) Pseudo-spectral Code for Numerical Simulation of Nonlinear Thermo-compositional Convection and Dynamos in Rotating Spherical Shells (doi: 10.5281/zenodo.1311203)

Silva, L. A.C., Simitev, R. D. (2018) Spectral Code for Linear Analysis of the Onset of Thermo-compositional Convection in Rotating Spherical Fluid Shells (doi: 10.5281/zenodo.1307245)

Durey, M., Milewski, P. A. (2018) Faraday wave–droplet dynamics: discrete-time analysis Journal of Fluid Mechanics, 821, pp. 296-329. (doi: 10.1017/jfm.2017.235)

Melnikov, A., Ogden, R. W. (2018) Bifurcation of finitely deformed thick-walled electroelastic cylindrical tubes subject to a radial electric field Zeitschrift für Angewandte Mathematik und Physik, 69, (doi: 10.1007/s00033-018-0954-5)

Qi, N., Lockington, D., Wang, H., Hill, N. A., Ramaesh, K., Luo, X. (2018) Modelling floppy iris syndrome and the impact of phenylephrine on iris buckling International Journal of Applied Mechanics, 10, (doi: 10.1142/S1758825118500485)

Simitev, R. D., Busse, F. H. (2018) Flows and dynamos in a model of stellar radiative zones Journal of Plasma Physics, 84, (doi: 10.1017/S0022377818000612)

Mangion, K., Gao, H., Husmeier, D., Luo, X., Berry, C. (2018) Advances in computational modelling for personalised medicine after myocardial infarction Heart, 104, pp. 550-557. (doi: 10.1136/heartjnl-2017-311449)

El Hamdaoui, M., Merodio, J., Ogden, R. W. (2018) Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube Journal of Engineering Mathematics, 109, pp. 31-45. (doi: 10.1007/s10665-017-9904-z)

Wang, L., Hill, N. A., Roper, S. M., Luo, X. (2018) Modelling peeling- and pressure-driven propagation of arterial dissection Journal of Engineering Mathematics, 109, pp. 227-238. (doi: 10.1007/s10665-017-9948-0)

Dorfmann, L., Ogden, R. W. (2018) Instabilities of soft dielectrics Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 377, (doi: 10.1098/rsta.2018.0077)

Hori, K., Teed, R.J., Jones, C.A. (2018) The dynamics of magnetic Rossby waves in spherical dynamo simulations: a signature of strong-field dynamos? Physics of the Earth and Planetary Interiors, 276, pp. 68-85. (doi: 10.1016/j.pepi.2017.07.008)

Richardson, S.I. H., Baggaley, A.W., Hill, N.A. (2018) Gyrotactic suppression and emergence of chaotic trajectories of swimming particles in three-dimensional flows Physical Review Fluids, 3, (doi: 10.1103/PhysRevFluids.3.023102)

Valdés-Ravelo, F., Ramírez-Torres, A., Rodríguez-Ramos, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Penta, R., Conci, A., Sabina, F. J., García-Reimbert, C. (2018) Mathematical modeling of the interplay between stress and anisotropic growth of avascular tumors Journal of Mechanics in Medicine and Biology, 18, (doi: 10.1142/s0219519418500069)

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) Modeling of fibrous biological tissues with a general invariant that excludes compressed fibers Journal of the Mechanics and Physics of Solids, 110, pp. 38-53. (doi: 10.1016/j.jmps.2017.09.005)

Walton, J., Mottram, N.J., McKay, G. (2018) Nematic liquid crystal director structures in rectangular regions Physical Review E, 97, (doi: 10.1103/PhysRevE.97.022702)

Duanmu, Z., Yin, M., Fan, X., Yang, X., Luo, X. (2018) A patient-specific lumped-parameter model of coronary circulation Scientific Reports, 8, (doi: 10.1038/s41598-018-19164-w)

(2018) Multiscale Soft Tissue Mechanics and Mechanobiology: State-of-the-art Modeling

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) A discrete fibre dispersion method for excluding fibres under compression in the modeling of fibrous tissues Journal of the Royal Society: Interface, 15, (doi: 10.1098/rsif.2017.0766)

Penta, R., Ramírez-Torres, A., Merodio, J., Rodríguez-Ramos, R. (2018) Effective balance equations for elastic composites subject to inhomogeneous potentials Continuum Mechanics and Thermodynamics, 30, pp. 145-163. (doi: 10.1007/s00161-017-0590-x)

Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Merodio, J., Sabina, F. J., Bravo-Castillero, J., Guinovart-Díaz, R., Preziosi, L., Grillo, A. (2018) Three scales asymptotic homogenization and its application to layered hierarchical hard tissues International Journal of Solids and Structures, 130-31, pp. 190-198. (doi: 10.1016/j.ijsolstr.2017.09.035)

Penta, R., Gerisch, A. (2018) An introduction to asymptotic homogenization Springer

Mortensen, P., Bin Noor Aziz, M. H., Gao, H., Simitev, R. D. (2018) Modelling and Simulations of Electrical Propagation in Transmural Slabs of Scarred Left Ventricular Tissue

(2018) Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications 122, (doi: 10.1007/978-3-319-73371-5)

2017

Teed, R., Hori, K., Tobias, S., Jones, C. A. (2017) Observation and Excitation of Magnetohydrodynamic Waves in Numerical Models of Earth's Core

Da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T. (2017) A mathematical study of a bistable nematic liquid crystal device Mathematical Models and Methods in Applied Sciences, 17, pp. 2009-2034. (doi: 10.1142/S0218202507002546)

Sevostianov, I., Trofimov, A., Merodio, J., Penta, R., Rodriguez-Ramos, R. (2017) Connection between electrical conductivity and diffusion coefficient of a conductive porous material filled with electrolyte International Journal of Engineering Science, 121, pp. 108-117. (doi: 10.1016/j.ijengsci.2017.08.013)

Stewart, P. S., Hilgenfeldt, S. (2017) Cracks and fingers: dynamics of ductile fracture in an aqueous foam Colloids and Surfaces A: Physicochemical and Engineering Aspects, 534, pp. 58-70. (doi: 10.1016/j.colsurfa.2017.03.057)

Griffith, B. E., Luo, X. (2017) Hybrid finite difference/finite element immersed boundary method International Journal for Numerical Methods in Biomedical Engineering, 33, (doi: 10.1002/cnm.2888)

Kowal, K. N., Davis, S. H., Voorhees, P. W. (2017) Instabilities in rapid directional solidification under weak flow Physical Review E, 96, (doi: 10.1103/PhysRevE.96.062802)

Holzapfel, G. A., Ogden, R. W. (2017) On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons Journal of Elasticity, 129, pp. 49-68. (doi: 10.1007/s10659-016-9605-2)

Holzapfel, G. A., Ogden, R. W. (2017) Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues European Journal of Mechanics - A/Solids, 66, pp. 193-200. (doi: 10.1016/j.euromechsol.2017.07.005)

Penta, R., Merodio, J. (2017) Homogenized modeling for vascularized poroelastic materials Meccanica, 52, pp. 3321-3343. (doi: 10.1007/s11012-017-0625-1)

Gao, H., Mangion, K., Carrick, D., Husmeier, D., Luo, X., Berry, C. (2017) Estimating prognosis in patients with acute myocardial infarction using personalized computational heart models Scientific Reports, 7, (doi: 10.1038/s41598-017-13635-2)

Gao, H., Qi, N., Feng, L., Ma, X., Danton, M., Berry, C., Luo, X. (2017) Modelling mitral valvular dynamics–current trend and future directions International Journal for Numerical Methods in Biomedical Engineering, 33, (doi: 10.1002/cnm.2858)

MacTaggart, D., Stewart, P. (2017) Optimal energy growth in current sheets Solar Physics, 292, (doi: 10.1007/s11207-017-1177-1)

Kowal, K. N., Altieri, A. L., Davis, S. H. (2017) Strongly nonlinear theory of rapid solidification near absolute stability Physical Review E, 96, (doi: 10.1103/PhysRevE.96.042801)

Ramírez-Torres, A., Rodríguez-Ramos, R., Merodio, J., Penta, R., Bravo-Castillero, J., Guinovart-Díaz, R., Sabina, F. J., García-Reimbert, C., Sevostianov, I., Conci, A. (2017) The influence of anisotropic growth and geometry on the stress of solid tumors International Journal of Engineering Science, 119, pp. 40-49. (doi: 10.1016/j.ijengsci.2017.06.011)

Mascheroni, P., Penta, R. (2017) The role of the microvascular network structure on diffusion and consumption of anticancer drugs International Journal for Numerical Methods in Biomedical Engineering, 33, (doi: 10.1002/cnm.2857)

Paun, L., Haider, M., Hill, N., Olufsen, M., Qureshi, M., Papamarkou, T., Husmeier, D. (2017) Parameter Inference in the Pulmonary Blood Circulation

Gao, H., Feng, L., Qi, N., Berry, C., Griffith, B. E., Luo, X. (2017) A coupled mitral valve - left ventricle model with fluid-structure interaction Medical Engineering and Physics, 47, pp. 128-136. (doi: 10.1016/j.medengphy.2017.06.042)

Stewart, P. S. (2017) Instabilities in flexible channel flow with large external pressure Journal of Fluid Mechanics, 825, pp. 922-960. (doi: 10.1017/jfm.2017.404)

Ramírez-Torres, A., Rodríguez-Ramos, R., Sabina, F. J., García-Reimbert, C., Penta, R., Merodio, J., Guinovart-Díaz, R., Bravo-Castillero, J., Conci, A., Preziosi, L. (2017) The role of malignant tissue on the thermal distribution of cancerous breast Journal of Theoretical Biology, 426, pp. 152-161. (doi: 10.1016/j.jtbi.2017.05.031)

Dorfmann, L., Ogden, R. W. (2017) Nonlinear electroelasticity: material properties, continuum theory and applications Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 473, (doi: 10.1098/rspa.2017.0311)

Paun, L. M., Qureshi, M. U., Colebank, M., Haider, M. A., Olufsen, M. S., Hill, N. A., Husmeier, D. (2017) Parameter Inference in the Pulmonary Circulation of Mice

Gao, H., Aderhold, A., Mangion, K., Luo, X., Husmeier, D., Berry, C. (2017) Changes and classification in myocardial contractile function in the left ventricle following acute myocardial infarction Journal of the Royal Society: Interface, 14, (doi: 10.1098/rsif.2017.0203)

Watson, S. J. (2017) Lorentzian symmetry predicts universality beyond scaling laws Europhysics Letters, 118, (doi: 10.1209/0295-5075/118/56001)

Teed, R. J., Proctor, M. R. E. (2017) Quasi-cyclic behaviour in non-linear simulations of the shear dynamo Monthly Notices of the Royal Astronomical Society, 467, pp. 4858-4864. (doi: 10.1093/mnras/stx421)

Van Hirtum, A., Wu, B., Gao, H., Luo, X.Y. (2017) Constricted channel flow with different cross-section shapes European Journal of Mechanics - B/Fluids, 63, pp. 1-8. (doi: 10.1016/j.euromechflu.2016.12.009)

Shumaylova, V., Teed, R. J., Proctor, M. R.E. (2017) Large-to small-scale dynamo in domains of large aspect ratio: kinematic regime Monthly Notices of the Royal Astronomical Society, 466, pp. 3513-3518. (doi: 10.1093/mnras/stw3379)

Cai, L., Wang, Y., Gao, H., Li, Y., Luo, X. (2017) A mathematical model for active contraction in healthy and failing myocytes and left ventricles PLoS ONE, 12, (doi: 10.1371/journal.pone.0174834)

Ramírez-Torres, A., Rodríguez-Ramos, R., Conci, F.J., García-Reimbert, C., Preziosi, L., Merodio, J., Lebon, F. (2017) A semi-analytical heterogeneous model for thermal analysis of cancerous breasts Springer

Li, W., Bird, N. C., Luo, X. (2017) A pointwise method for identifying biomechanical heterogeneity of the human gallbladder Frontiers in Physiology, 8, (doi: 10.3389/fphys.2017.00176)

Wang, L., Roper, S. M., Hill, N. A., Luo, X. (2017) Propagation of dissection in a residually-stressed artery model Biomechanics and Modeling in Mechanobiology, 16, pp. 139-149. (doi: 10.1007/s10237-016-0806-1)

Cai, L., Xu, W., Luo, X. (2017) A double-distribution-function lattice Boltzmann method for bed-load sediment transport International Journal of Applied Mechanics, 9, (doi: 10.1142/S1758825117500132)

Penta, R., Gerisch, A. (2017) The asymptotic homogenization elasticity tensor properties for composites with material discontinuities Continuum Mechanics and Thermodynamics, 29, pp. 187-206. (doi: 10.1007/s00161-016-0526-x)

Simitev, R. D., Busse, F. H. (2017) Baroclinically-driven flows and dynamo action in rotating spherical fluid shells Geophysical and Astrophysical Fluid Dynamics, 111, pp. 369-379. (doi: 10.1080/03091929.2017.1361945)

(2017) Biomechanics: Trends in Modeling and Simulation Springer

Teed, R. (2017) Identifying MHD Waves in Numerical Models of the Geodynamo

McGinty, S., Hyndman, L., Mottram, N., McKee, S., Webb, S. (2017) In-silico Characterisation of the Kirkstall QV900 In-Vitro System for Advanced Cell Culture

Noè, U., Chen, W. W., Filippone, M., Hill, N., Husmeier, D. (2017) Inference in a Partial Differential Equations Model of Pulmonary Arterial and Venous Blood Circulation using Statistical Emulation (doi: 10.1007/978-3-319-67834-4_15)

Teed, R. (2017) Nonlinear Properties of the Shear Dynamo Model

Ogden, R. W. (2017) Nonlinear continuum mechanics and modelling the elasticity of soft biological tissues with a focus on artery walls Springer International Publishing

Interian, R., Rodríguez-Ramos, R., Valdés-Ravelo, F., Ramírez-Torres, A., Ribeiro, C. C., Conci, A. (2017) Tumor growth modelling by cellular automata Mathematics and Mechanics of Complex Systems, 5, pp. 239-259. (doi: 10.2140/memocs.2017.5.239)

2016

Goodman, M. E., Luo, X., Hill, N. (2016) A mathematical model on the feedback between wall shear stress and intimal hyperplasia International Journal of Applied Mechanics, 8, (doi: 10.1142/S1758825116400111)

Melnikov, A., Ogden, R. W. (2016) Finite deformations of an electroelastic circular cylindrical tube Zeitschrift für Angewandte Mathematik und Physik, 67, (doi: 10.1007/s00033-016-0733-0)

Li, W., Luo, X. Y. (2016) An invariant-based damage model for human and animal skins Annals of Biomedical Engineering, 44, pp. 3109-3122. (doi: 10.1007/s10439-016-1603-9)

Corson, L.T., Mottram, N.J., Duffy, B.R., Wilson, S.K., Tsakonas, C., Brown, C.V. (2016) Dynamic response of a thin sessile drop of conductive liquid to an abruptly applied or removed electric field Physical Review E, 94, (doi: 10.1103/PhysRevE.94.043112)

Mottram, N.J., Newton, C.J.P. (2016) Liquid crystal theory and modeling Springer

Hao, Y., Cai, Z., Roper, S., Luo, X. (2016) An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel International Journal of Applied Mechanics, 8, (doi: 10.1142/S1758825116500733)

Corson, L.T., Tsakonas, C., Duffy, B.R., Mottram, N.J., Brown, C.V., Wilson, S.K. (2016) Electro-Manipulation of Droplets for Microfluidic Applications (doi: 10.1007/978-3-319-23413-7)

Stewart, P. S., Waters, S. L., El Sayed, T., Vella, D., Goriely, A. (2016) Wrinkling, creasing, and folding in fiber-reinforced soft tissues Extreme Mechanics Letters, 8, pp. 22-29. (doi: 10.1016/j.eml.2015.10.005)

Chen, W.W., Gao, H., Luo, X.Y., Hill, N.A. (2016) Study of cardiovascular function using a coupled left ventricle and systemic circulation model Journal of Biomechanics, 49, pp. 2445-2454. (doi: 10.1016/j.jbiomech.2016.03.009)

Griffiths, I. M., Kumar, A., Stewart, P.S. (2016) Designing asymmetric multilayered membrane filters with improved performance Journal of Membrane Science, 511, pp. 108-118. (doi: 10.1016/j.memsci.2016.02.028)

Ahamed, T., Dorfmann, L., Ogden, R.W. (2016) Modeling of residually stressed material with application to AAA Journal of the Mechanical Behavior of Biomedical Materials, 61, pp. 221-234. (doi: 10.1016/j.jmbbm.2016.01.012)

Nam, N.T., Merodio, J., Ogden, R.W., Vinh, P.C. (2016) The effect of initial stress on the propagation of surface waves in a layered half-space International Journal of Solids and Structures, 88-89, pp. 88-100. (doi: 10.1016/j.ijsolstr.2016.03.019)

Penta, R., Raum, K., Grimal, Q., Schrof, S., Gerisch, A. (2016) Can a continuous mineral foam explain the stiffening of aged bone tissue? A micromechanical approach to mineral fusion in musculoskeletal tissues Bioinspiration and Biomimetics, 11, (doi: 10.1088/1748-3190/11/3/035004)

Teed, R., Proctor, M. R.E. (2016) Destruction of large-scale magnetic field in non-linear simulations of the shear dynamo Monthly Notices of the Royal Astronomical Society, 458, pp. 2885-2889. (doi: 10.1093/mnras/stw490)

Li, K., Ogden, R. W., Holzapfel, G. A. (2016) Computational method for excluding fibers under compression in modeling soft fibrous solids European Journal of Mechanics - A/Solids, 57, pp. 178-193. (doi: 10.1016/j.euromechsol.2015.11.003)

Matsui, H., Heien, E., Aubert, J., Aurnou, J. M., Avery, M., Brown, B., Buffett, B. A., Busse, F., Christensen, U. R., Davies, C. J., Featherstone, N., Gastine, T., Glatzmaier, G. A., Gubbins, D., Guermond, J.-L., Hayashi, Y.-Y., Hollerbach, R., Hwang, L. J., Jackson, A., Jones, C. A., Jiang, W., Kellogg, L. H., Kuang, W., Landeau, M., Marti, P. H., Olson, P., Ribeiro, A., Sasaki, Y., Schaeffer, N., Simitev, R. D., Sheyko, A., Silva, L., Stanley, S., Takahashi, F., Takehiro, S.-i., Wicht, J., Willis, A. P. (2016) Performance benchmarks for a next generation numerical dynamo model Geochemistry, Geophysics, Geosystems, 17, pp. 1586-1607. (doi: 10.1002/2015GC006159)

McKee, S., Dougall, E. A., Mottram, N. J. (2016) Analytic solutions of a simple advection-diffusion model of an oxygen transfer device Journal of Mathematics in Industry, 6, (doi: 10.1186/s13362-016-0019-3)

Kowal, K. N., Pegler, S. S., Worster, M. G. (2016) Dynamics of laterally confined marine ice sheets Journal of Fluid Mechanics, 790, (doi: 10.1017/jfm.2016.37)

Merodio, J., Ogden, R. W. (2016) Extension, inflation and torsion of a residually-stressed circular cylindrical tube Continuum Mechanics and Thermodynamics, 28, pp. 157-174. (doi: 10.1007/s00161-015-0411-z)

Mottram, N.J., McKay, G., Brown, C.V., Russell, C.T., Sage, I.C., Tsakonas, C. (2016) Flow-induced delayed Freedericksz transition Physical Review E, 93, (doi: 10.1103/PhysRevE.93.030701)

Ritos, K., Borg, M. K., Mottram, N. J., Reese, J. M. (2016) Electric fields can control the transport of water in carbon nanotubes Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374, (doi: 10.1098/rsta.2015.0025)

Mangion, K., Gao, H., Radjenovic, A., Luo, X., Haig, C., Berry, C. (2016) Pixel-tracking derived strain using the GlasgowHeart Method. Journal of Cardiovascular Magnetic Resonance, 18, (doi: 10.1186/1532-429X-18-S1-P9)

Mangion, K., Gao, H., Mccomb, C., Carrick, D., Clerfond, G., Zhong, X., Luo, X., Haig, C., Berry, C. (2016) A novel method for estimating myocardial strain: assessment of deformation tracking against reference magnetic resonance methods in healthy volunteers Scientific Reports, 6, (doi: 10.1038/srep38774)

Teed, R. (2016) Excitation of Torsional Waves in the Earth's Core

2015

Land, S., Gurev, V., Arens, S., Augustin, C. M., Baron, L., Blake, R., Bradley, C., Castro, S., Crozier, A., Favino, M., Fastl, T. E., Fritz, T., Gao, H., Gizzi, A., Griffith, B. E., Hurtado, D. E., Krause, R., Luo, X., Nash, M. P., Pezzuto, S., Plank, G., Rossi, S., Ruprecht, D., Seemann, G., Smith, N. P., Sundnes, J., Rice, J. J., Trayanova, N., Wang, D., Wang, Z., Niederer, S. A. (2015) Verification of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 471, (doi: 10.1098/rspa.2015.0641)

Qureshi, M. U., Hill, N. A. (2015) A computational study of pressure wave reflections in the pulmonary arteries Journal of Mathematical Biology, 71, pp. 1525-1549. (doi: 10.1007/s00285-015-0867-2)

Qi, N., Gao, H., Ogden, R. W., Hill, N. A., Holzapfel, G. A., Han, H., Luo, X. (2015) Investigation of the optimal collagen fibre orientation in human iliac arteries Journal of the Mechanical Behavior of Biomedical Materials, 52, pp. 108-119. (doi: 10.1016/j.jmbbm.2015.06.011)

Stewart, P. S., Davis, S. H., Hilgenfeldt, S. (2015) Microstructural effects in aqueous foam fracture Journal of Fluid Mechanics, 785, pp. 425-461. (doi: 10.1017/jfm.2015.636)

Gao, H., Li, W.G., Cai, L., Berry, C., Luo, X.Y. (2015) Parameter estimation in a Holzapfel–Ogden law for healthy myocardium Journal of Engineering Mathematics, 95, pp. 231-248. (doi: 10.1007/s10665-014-9740-3)

Ramírez-Torres, A., Rodríguez-Ramos, R., Merodio, J., Bravo-Castillero, J., Guinovart-Díaz, R., Alfonso, J.C.L. (2015) Mathematical modeling of anisotropic avascular tumor growth Mechanics Research Communications, 69, pp. 8-14. (doi: 10.1016/j.mechrescom.2015.06.002)

Bezekci, B., Idris, I., Simitev, R.D., Biktashev, V.N. (2015) Semianalytical approach to criteria for ignition of excitation waves Physical Review E, 92, (doi: 10.1103/PhysRevE.92.042917)

Hori, K., Jones, C.A., Teed, R.J. (2015) Slow magnetic Rossby waves in the Earth's core Geophysical Research Letters, 42, pp. 6622-6629. (doi: 10.1002/2015GL064733)

Stewart, P. S., Feng, J., Kimpton, L. S., Griffiths, I. M., Stone, H. A. (2015) Stability of a bi-layer free film: simultaneous or individual rupture events? Journal of Fluid Mechanics, 777, pp. 27-49. (doi: 10.1017/jfm.2015.346)

El Hamdaoui, M., Merodio, J., Ogden, R. W. (2015) Loss of ellipticity in the combined helical, axial and radial elastic deformations of a fibre-reinforced circular cylindrical tube International Journal of Solids and Structures, 63, pp. 99-108. (doi: 10.1016/j.ijsolstr.2015.02.043)

Teed, R. J., Jones, C. A., Tobias, S. M. (2015) The transition to Earth-like torsional oscillations in magnetoconvection simulations Earth and Planetary Science Letters, 419, pp. 22-31. (doi: 10.1016/j.epsl.2015.02.045)

Ghorai, S., Singh, R., Hill, N.A. (2015) Wavelength selection in gyrotactic bioconvection Bulletin of Mathematical Biology, 77, pp. 1166-1184. (doi: 10.1007/s11538-015-0081-9)

Holzapfel, G. A., Niestrawska, J. A., Ogden, R. W., Reinisch, A. J., Schriefl, A. J. (2015) Modelling non-symmetric collagen fibre dispersion in arterial walls Journal of the Royal Society: Interface, 12, (doi: 10.1098/rsif.2015.0188)

Ramírez-Torres, A., Rodríguez-Ramos, R., Merodio, J., Bravo-Castillero, J., Guinovart-Díaz, R., Alfonso, J.C.L. (2015) Action of body forces in tumor growth International Journal of Engineering Science, 89, pp. 18-34. (doi: 10.1016/j.ijengsci.2014.11.009)

Penta, R., Gerisch, A. (2015) Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study Computing and Visualization in Science, 17, pp. 185-201. (doi: 10.1007/s00791-015-0257-8)

MacTaggart, D., Guglielmino, S.L., Haynes, A.L., Simitev, R., Zuccarello, F. (2015) The magnetic structure of surges in small-scale emerging flux regions Astronomy and Astrophysics, 576, (doi: 10.1051/0004-6361/201424646)

Kowal, K. N., Worster, M. G. (2015) Lubricated viscous gravity currents Journal of Fluid Mechanics, 766, pp. 626-655. (doi: 10.1017/jfm.2015.30)

Watson, S. J. (2015) Emergent parabolic scaling of nano-faceting crystal growth Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 471, pp. 20140560. (doi: 10.1098/rspa.2014.0560)

Cai, L., Gao, H., Luo, X., Nie, Y. (2015) Multi-scale modelling of the human left ventricle Scientia Sinica Physica, Mechanica and Astronomica, 45, (doi: 10.1360/SSPMA2013-00100)

Penta, R., Ambrosi, D. (2015) The role of the microvascular tortuosity in tumor transport phenomena Journal of Theoretical Biology, 364, pp. 80-97. (doi: 10.1016/j.jtbi.2014.08.007)

Ogden, R., Saccomandi, G., Wineman, A. (2015) Foreword to the special issue Mechanics of Rubber: In memory of Alan Gent International Journal of Non-Linear Mechanics, 68, pp. 1-8. (doi: 10.1016/j.ijnonlinmec.2014.08.004)

Penta, R., Ambrosi, D., Quarteroni, A. (2015) Multiscale homogenization for fluid and drug transport in vascularized malignant tissues Mathematical Models and Methods in Applied Sciences, 25, pp. 79-108. (doi: 10.1142/S0218202515500037)

Holzapfel, G. A., Ogden, R. W. (2015) On the tension–compression switch in soft fibrous solids European Journal of Mechanics - A/Solids, 49, pp. 561-569. (doi: 10.1016/j.euromechsol.2014.09.005)

Hermans, T., Bishop, K., Stewart, P., Davis, S., Grzybowski, B. (2015) Vortex flows impart chirality-specific lift forces Nature Communications, 6, pp. 5640. (doi: 10.1038/ncomms6640)

Hermans, T. M., Stewart, P. S., Grzybowski, B. A. (2015) A pH-oscillator stretched in space but frozen in time Journal of Physical Chemistry Letters, 6, pp. 760-766. (doi: 10.1021/jz502711c)

Bourne, D.P., Roper, S.M. (2015) Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems SIAM: Journal on Numerical Analysis, 53, pp. 2545-2569. (doi: 10.1137/141000993)

Simitev, R. D., Kosovichev, A. G., Busse, F. H. (2015) Dynamo effects near transition from solar to anti-solar differential rotation Astrophysical Journal, 810, (doi: 10.1088/0004-637X/810/1/80)

Gao, H., Qi, N., Ma, X., Griffith, B. E., Berry, C., Luo, X. (2015) Fluid-structure interaction model of human mitral valve within left ventricle Springer International Publishing

Gao, H., Berry, C., Luo, X. (2015) Image-derived human left ventricular modelling with fluid-structure interaction Springer International Publishing

Argungu, M., Bayram, S., Brook, B., Chakrabarti, B., Clayton, R. H., Daly, D. M., Dyson, R. J., Holloway, C., Manhas, V., Naire, S., Shearer, T., Simitev, R. D. (2015) Modelling Afferent Nerve Responses to Bladder Filling

Luo, X.Y. (2015) Modelling flows in collapsible tubes Eolss Publishers

Wang, L., Roper, S. M., Luo, X.Y., Hill, N.A. (2015) Modelling of tear propagation and arrest in fibre-reinforced soft tissue subject to internal pressure Journal of Engineering Mathematics, 95, pp. 249-265. (doi: 10.1007/s10665-014-9757-7)

(2015) Nonlinear Mechanics of Soft Fibrous Materials Springer-Verlag Wien

Ogden, R. W. (2015) Nonlinear elasticity with application to soft fibre-reinforced materials Springer-Verlag Wien

Agraval, U., Qi, N., Stewart, P., Luo, X., Williams, G., Rotchford, A., Ramaesh, K. (2015) Optimum size of iridotomy in uveitis Clinical and Experimental Ophthalmology, 43, pp. 692-696. (doi: 10.1111/ceo.12528)

Stewart, P. S., Jensen, O. E. (2015) Patterns of recruitment and injury in a heterogeneous airway network model Journal of the Royal Society: Interface, 12, (doi: 10.1098/rsif.2015.0523)

Busse, F.H., Simitev, R.D. (2015) Planetary dynamos Elsevier B.V.

Penta, R., Ambrosi, D. (2015) The role of microvascular tortuosity in tumor transport phenomena and future perspective for drug delivery PAMM: Proceedings in Applied Mathematics and Mechanics, 15, pp. 101-102. (doi: 10.1002/pamm.201510041)

Penta, R., Mascheroni, P. (2015) The role of the angiogenic network structure on diffusion and consumption of anticancer drugs

Teed, R., Jones, C., Tobias, S. (2015) Torsional Waves Operating in Geodynamo and Magnetoconvection Simulations

2014

Gao, H., Ma, X., Nan, Q., Berry, C., Griffith, B. E., Luo, X. (2014) A finite strain nonlinear human mitral valve model with fluid structure interaction International Journal for Numerical Methods in Biomedical Engineering, 30, pp. 1597-1613. (doi: 10.1002/cnm.2691)

Corson, L.T., Tsakonas, C., Duffy, B.R., Mottram, N.J., Sage, I.C., Brown, C.V., Wilson, S.K. (2014) Deformation of a nearly hemispherical conducting drop due to an electric field: theory and experiment Physics of Fluids, 26, (doi: 10.1063/1.4903223)

Ehret, A. E., Ogden, R. W., Mazza, E. (2014) Non-affine strain measures for continuum models of network materials Proceedings in Applied Mathematics and Mechanics, 14, pp. 435-436. (doi: 10.1002/pamm.201410205)

Dorfmann, L., Ogden, R. W. (2014) Nonlinear response of an electroelastic spherical shell International Journal of Engineering Science, 85, pp. 163-174. (doi: 10.1016/j.ijengsci.2014.09.001)

Eriksson, T.S.E., Watton, P.N., Luo, X.Y., Ventikos, Y. (2014) Modelling volumetric growth in a thick walled fibre reinforced artery Journal of the Mechanics and Physics of Solids, 73, pp. 134-150. (doi: 10.1016/j.jmps.2014.09.003)

Nolan, D.R., Gower, A.L., Destrade, M., Ogden, R.W., McGarry, J.P. (2014) A robust anisotropic hyperelastic formulation for the modelling of soft tissue Journal of the Mechanical Behavior of Biomedical Materials, 39, pp. 48-60. (doi: 10.1016/j.jmbbm.2014.06.016)

Gao, H., Wang, H., Berry, C., Luo, X., Griffith, B. E. (2014) Quasi-static imaged-based immersed boundary-finite element model of human left ventricle in diastole International Journal for Numerical Methods in Biomedical Engineering, 30, pp. 1199-1222. (doi: 10.1002/cnm.2652)

Ogden, R. W., Singh, B. (2014) The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid Wave Motion, 51, pp. 1108-1126. (doi: 10.1016/j.wavemoti.2014.05.004)

Griffiths, I.M., Kumar, A., Stewart, P.S. (2014) A combined network model for membrane fouling Journal of Colloid and Interface Science, 432, pp. 10-18. (doi: 10.1016/j.jcis.2014.06.021)

Stewart, P. S., Jensen, O. E., Foss, A. J. E. (2014) A theoretical model to allow prediction of the CSF pressure from observing the retinal venous pulse Investigative Ophthalmology and Visual Science, 55, pp. 6319-6323. (doi: 10.1167/iovs.14-14331)

Holzapfel, G. A., Unterberger, M. J., Ogden, R. W. (2014) An affine continuum mechanical model for cross-linked F-actin networks with compliant linker proteins Journal of the Mechanical Behavior of Biomedical Materials, 38, pp. 78-90. (doi: 10.1016/j.jmbbm.2014.05.014)

Taffetani, M., de Falco, C., Penta, R., Ambrosi, D., Ciarletta, P. (2014) Biomechanical modelling in nanomedicine: multiscale approaches and future challenges Archive of Applied Mechanics, 84, pp. 1627-1645. (doi: 10.1007/s00419-014-0864-8)

Gao, H., Carrick, D., Berry, C., Griffith, B. E., Luo, X. (2014) Dynamic finite-strain modelling of the human left ventricle in health and disease using an immersed boundary-finite element method IMA Journal of Applied Mathematics, 79, pp. 978-1010. (doi: 10.1093/imamat/hxu029)

Qureshi, M. U., Vaughan, G. D.A., Sainsbury, C., Johnson, M., Peskin, C. S., Olufsen, M. S., Hill, N.A. (2014) Numerical simulation of blood flow and pressure drop in the pulmonary arterial and venous circulation Biomechanics and Modeling in Mechanobiology, 13, pp. 1137-1154. (doi: 10.1007/s10237-014-0563-y)

Mottram, N. J., Newton, C. J.P. (2014) Introduction to Q-tensor theory arXiv,

Gao, H., Allan, A., McComb, C., Luo, X., Berry, C. (2014) Left ventricular strain and its pattern estimated from cine CMR and validation with DENSE Physics in Medicine and Biology, 59, pp. 3637-3656. (doi: 10.1088/0031-9155/59/13/3637)

Lang, G. E., Stewart, P. S., Vella, D., Waters, S. L., Goriely, A. (2014) Is the Donnan effect sufficient to explain swelling in brain tissue slices? Journal of the Royal Society: Interface, 11, pp. 20140123. (doi: 10.1098/rsif.2014.0123)

Eremeyev, V. A., Lebedev, L. P., Ogden, R. W. (2014) Leonid M. Zubov: a life devoted to nonlinear mechanics International Journal of Engineering Science, 80, pp. 1-3. (doi: 10.1016/j.ijengsci.2014.03.005)

Busse, F. H., Simitev, R. D. (2014) Quasi-geostrophic approximation of anelastic convection Journal of Fluid Mechanics, 751, pp. 216-227. (doi: 10.1017/jfm.2014.293)

Destrade, M., Ogden, R.W., Sgura, I., Vergori, L. (2014) Straightening: existence, uniqueness and stability Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 470, pp. 20130709. (doi: 10.1098/rspa.2013.0709)

Marti, P., Schaeffer, N., Hollerbach, R., Cebron, D., Nore, C., Luddens, F., Guermond, J.L., Aubert, J., Takehiro, S., Sasaki, Y., Hayashi, Y., Simitev, R., Busse, F.H., Vantieghem, S., Jackson, A. (2014) Full sphere hydrodynamic and dynamo benchmarks Geophysical Journal International, 197, pp. 119-134. (doi: 10.1093/gji/ggt518)

Shams, M., Ogden, R. (2014) On Rayleigh-type surface waves in an initially stressed incompressible elastic solid IMA Journal of Applied Mathematics, 79, pp. 360-376. (doi: 10.1093/imamat/hxs070)

Dorfmann, L., Ogden, R. W. (2014) Instabilities of an electroelastic plate International Journal of Engineering Science, 77, pp. 79-101. (doi: 10.1016/j.ijengsci.2013.12.007)

Destrade, M., Ogden, R.W., Sgura, I., Vergori, L. (2014) Straightening wrinkles Journal of the Mechanics and Physics of Solids, 65, pp. 1-11. (doi: 10.1016/j.jmps.2014.01.001)

Tomar, S.K., Ogden, R.W. (2014) Two-dimensional wave propagation in a rotating elastic solid with voids Journal of Sound and Vibration, 333, pp. 1945-1952. (doi: 10.1016/j.jsv.2013.11.043)

El Hamdaoui, M., Merodio, J., Ogden, R. W., Rodriguez, J. (2014) Finite elastic deformations of transversely isotropic circular cylindrical tubes International Journal of Solids and Structures, 51, pp. 1188-1196. (doi: 10.1016/j.ijsolstr.2013.12.019)

Jackson, A., Sheyko, A., Marti, P., Tilgner, A., C'ebron, D., Vantieghema, S., Simitev, R., Busse, F., Zhan, X., Schubert, G., Takehiro, S., Sasaki, Y., Hayashi, Y.-Y., Ribeiro, A., Nore, C., Guermond, J.-L. (2014) A spherical shell numerical dynamo benchmark with pseudo vacuum magnetic boundary conditions Geophysical Journal International, 196, pp. 712-723. (doi: 10.1093/gji/ggt425)

Penta, R., Ambrosi, D., Shipley, R. J. (2014) Effective governing equations for poroelastic growing media Quarterly Journal of Mechanics and Applied Mathematics, 67, pp. 69-91. (doi: 10.1093/qjmam/hbt024)

Teed, R. J., Jones, C. A., Tobias, S. M. (2014) The dynamics and excitation of torsional waves in geodynamo simulations Geophysical Journal International, 196, pp. 724-735. (doi: 10.1093/gji/ggt432)

Steigmann, D. J., Ogden, R.W. (2014) Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik, 94, pp. 7-20. (doi: 10.1002/zamm.201200160)

Holzapfel, G., Ogden, R. W. (2014) Letter to the editor Re "Measurement of the uniaxial mechanical properties of healthy and atherosclerotic human coronary arteries" Materials Science and Engineering C: Biomimetic and Supramolecular Systems, 34, pp. 491-492. (doi: 10.1016/j.msec.2013.10.001)

Holzapfel, G.A., Ogden, R.W. (2014) Re ‘How should we measure and report elasticity of aortic tissue? European Journal of Vascular and Endovascular Surgery, 47, pp. 110-111. (doi: 10.1016/j.ejvs.2013.10.018)

Wang, H.M., Luo, X.Y., Gao, H., Ogden, R.W., Griffith, B.E., Berry, C., Wang, T.J. (2014) A modified Holzapfel-Ogden law for a residually stressed finite strain model of the human left ventricle in diastole Biomechanics and Modeling in Mechanobiology, 13, pp. 99-113. (doi: 10.1007/s10237-013-0488-x)

Zhu, Y., Luo, X.Y., Gao, H., Mccomb, C., Berry, C. (2014) A numerical study of a heart phantom model International Journal of Computer Mathematics, 91, pp. 1535-1551. (doi: 10.1080/00207160.2013.854337)

Bourne, D.P., Peletier, M. A., Roper, S.M. (2014) Hexagonal patterns in a simplified model for block copolymers SIAM Journal on Applied Mathematics, 74, pp. 1315-1337. (doi: 10.1137/130922732)

Christie, M., Nandi, M., Borg, Y., Carapella, V., Mirams, G., Aston, P., Bayram, S., Simitev, R., Siggers, J., Chakrabarti, B. (2014) Mathematical Modelling of Heart Rate Changes in the Mouse

Dorfmann, L., Ogden, R. W. (2014) Nonlinear Theory of Electroelastic and Magnetoelastic Interactions Springer

Penta, R., Ambrosi, D. (2014) Poro-elastic modeling for biological tissues and human eye: recent advances and future perspectives Kugler

Teed, R., Jones, C., Tobias, S. (2014) Torsional Oscillations in Geodynamo and Magnetoconvection Simulations

2013

Brown, R.W., Beucher, R., Roper, S., Persano, C., Stuart, F., Fitzgerald, P. (2013) Natural age dispersion arising from the analysis of broken crystals, part I. Theoretical basis and implications for the apatite (U-Th)/He thermochronometer Geochimica et Cosmochimica Acta, 122, pp. 478-497. (doi: 10.1016/j.gca.2013.05.041)

Gower, A.L., Destrade, M., Ogden, R.W.> (2013) Counter-intuitive results in acousto-elasticity Wave Motion, 50, pp. 1218-1228. (doi: 10.1016/j.wavemoti.2013.03.007)

Davis, M.J., Stewart, P., Davis, S. (2013) Local effects of gravity on foams Journal of Fluid Mechanics, 737, pp. 1-18. (doi: 10.1017/jfm.2013.433)

Beucher, R., Brown, R. W., Roper, S., Stuart, F., Persano, C. (2013) Natural age dispersion arising from the analysis of broken crystals, part II. Practical application to apatite (U-Th)/He thermochronometry Geochimica et Cosmochimica Acta, 120, pp. 395-416. (doi: 10.1016/j.gca.2013.05.042)

Merodio, J., Ogden, R. W., Rodrguez, J. (2013) The influence of residual stress on finite deformation elastic response International Journal of Non-Linear Mechanics, 56, pp. 43-49. (doi: 10.1016/j.ijnonlinmec.2013.02.010)

Destrade, M., Ogden, R.W. (2013) On stress-dependent elastic moduli and wave speeds IMA Journal of Applied Mathematics, 78, pp. 965-997. (doi: 10.1093/imamat/hxs003)

Stewart, P., Davis, S., Hilgenfeldt, S. (2013) Viscous Rayleigh–Taylor instability in aqueous foams Colloids and Surfaces A: Physicochemical and Engineering Aspects, 436, pp. 898-905. (doi: 10.1016/j.colsurfa.2013.08.021)

Bustamante, R., Ogden, R. W. (2013) Nonlinear magnetoelastostatics: energy functionals and their second variation Mathematics and Mechanics of Solids, 18, pp. 760-772. (doi: 10.1177/1081286512448347)

Li, W.G., Hill, N.A., Going, J., Luo, X.Y. (2013) Breaking analysis of artificial elastic tubes and human artery International Journal of Applied Mechanics, 5, pp. 1350024. (doi: 10.1142/S1758825113500245)

Vignaga, E., Sloan, D.M., Luo, X., Haynes, H., Phoenix, V.R., Sloan, W.T. (2013) Erosion of biofilm-bound fluvial sediments Nature Geoscience, 6, pp. 770-774. (doi: 10.1038/ngeo1891)

MacTaggart, D., Elsheikh, A., McLaughlin, J.A., Simitev, R.D. (2013) Non-symmetric magnetohydrostatic equilibria: a multigrid approach Astronomy and Astrophysics, 556, pp. A40. (doi: 10.1051/0004-6361/201220458)

Ramírez-Torres, A., Rodríguez-Ramos, R., Glüge, R., Bravo-Castillero, J., Guinovart-Díaz, R., Rodríguez-Sanchez, R. (2013) Biomechanic approach of a growing tumor Mechanics Research Communications, 51, pp. 32-38. (doi: 10.1016/j.mechrescom.2013.04.006)

Holzapfel, G.A., Ogden, R.W. (2013) Elasticity of biopolymer filaments Acta Biomaterialia, 9, pp. 7320-7325. (doi: 10.1016/j.actbio.2013.03.001)

Pegler, S. S., Kowal, K. N., Hasenclever, L. Q., Worster, M. G. (2013) Lateral controls on grounding-line dynamics Journal of Fluid Mechanics, 722, (doi: 10.1017/jfm.2013.140)

Stewart, P.S., Davis, S.H. (2013) Self-similar coalescence of clean foams Journal of Fluid Mechanics, 722, pp. 645-664. (doi: 10.1017/jfm.2013.145)

Li, W.G., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., Bird, N., Luo, X.Y. (2013) Anisotropic behaviour of human gallbladder walls Journal of the Mechanical Behavior of Biomedical Materials, 20, pp. 363-375. (doi: 10.1016/j.jmbbm.2013.02.015)

Saba, L., Tallapally, N., Gao, H., Molinari, F., Anzidei, M., Piga, M., Sanfilippo, R., Suri, J.S. (2013) Semiautomated and automated algorithms for analysis of the carotid artery wall on computed tomography and sonography a correlation study Journal of Ultrasound in Medicine, 32, pp. 665-674.

Gao, H., Kadir, K., Payne, A. R., Soraghan, J., Berry, C. (2013) Highly automatic quantification of myocardial oedema in patients with acute myocardial infarction using bright blood T2-weighted CMR Journal of Cardiovascular Magnetic Resonance, 15, (doi: 10.1186/1532-429X-15-28)

Wu, B., Van Hirtum, A., Luo, X.Y. (2013) Pressure driven steady flow in constricted channels of different cross-section shapes International Journal of Applied Mechanics, 5, pp. 1350002-1. (doi: 10.1142/S1758825113500026)

Ma, X., Gao, H., Griffith, B. E., Berry, C., Luo, X. (2013) Image-based fluid-structure interaction model of the human mitral valve Computers and Fluids, 71, pp. 417-425. (doi: 10.1016/j.compfluid.2012.10.025)

Wang, H.M., Gao, H., Luo, X.Y., Berry, C., Griffith, B.E., Ogden, R.W., Wang, T.J. (2013) Structure-based finite strain modelling of the human left ventricle in diastole International Journal for Numerical Methods in Biomedical Engineering, 29, pp. 83-103. (doi: 10.1002/cnm.2497)

Zhu, Y., Luo, X., Wang, H., Ogden, R., Berry, C. (2013) Three-dimensional non-linear buckling of thick-walled elastic tubes under pressure International Journal of Non-Linear Mechanics, 48, pp. 1-14. (doi: 10.1016/j.ijnonlinmec.2012.06.013)

Saba, L., Gao, H., Acharya, U.R., Sannia, S., Ledda, G., Suri, J.S. (2013) Analysis of carotid artery plaque and wall boundaries on CT images by using a semi-automatic method based on level set model Neuroradiology, 54, pp. 1207-1214. (doi: 10.1007/s00234-012-1040-x)

Mottram, N.J., Pinto, J.T., McKay, G. (2013) Decoupling of the Ericksen-Leslie equations Liquid Crystals, 40, pp. 787-798. (doi: 10.1080/02678292.2013.783134)

Gao, H., Griffith, B. E., Carrick, D., McComb, C., Berry, C., Luo, X. (2013) Initial experience with a dynamic imaging-derived immersed boundary model of human left ventricle Springer Berlin Heidelberg

Wang, F., Li, J.L., Yang, B.X., Hill, N.A. (2013) Modeling and simulation of non-Newtonian fluid mold filling process with phase change Computer Modeling in Engineering and Sciences, 95, pp. 59-85. (doi: 10.3970/cmes.2013.095.059)

Vergori, L., Destrade, M., McGarry, P., Ogden, R. (2013) On anisotropic elasticity and questions concerning its finite element implementation Computational Mechanics, 52, pp. 1185-1197. (doi: 10.1007/s00466-013-0871-6)

Simitev, R.D., Baggaley, A.W., Fearn, D.R. (2013) Proceedings of the 2013 UK national conference on geophysical, astrophysical and industrial magnetohydrodynamics at Glasgow

Kosovichev, A. G., Arlt, R., Bonanno, A., Brandenburg, A., Brun, A. S., Busse, F. H., Dikpati, M., Hara, H., Hill, F., Gilman, P. A., Kitiashvili, I. N., Kleeorin, N., Komm, R., Mansour, N. N., Miesch, M., Nordlund, A., Pevtsov, A. A., Pipin, V. V., Rempel, M., Rogachevskii, I., Ruediger, G., Stein, R. F., Sekii, T., Simitev, R., Stenflo, J. O., Thompson, M. J., Ulrich, R. K., Yokoi, N., Yokoyama, T., Wray, A. A., Zhao, J. (2013) Solar dynamo National Academies Press

Teed, R. J., Jones, C. A., Tobias, S. M. (2013) The Dynamics and Excitation of Torsional Waves in Geodynamo Simulations

Wu, B., Van Hirtum, A., Pelorson, X., Luo, X.Y. (2013) The influence of glottal cross section shape on theoretical flow models Journal of the Acoustical Society of America, 134, pp. 909-912. (doi: 10.1121/1.4813397)

Teed, R., Jones, C., Tobias, S. (2013) Torsional Oscillations in Geodynamo Simulations

2012

Saxena, P., Ogden, R.W. (2012) On Love-type waves in a finitely deformed magnetoelastic layered half-space Zeitschrift für Angewandte Mathematik und Physik, 63, pp. 1177-1200. (doi: 10.1007/s00033-012-0204-1)

Gao, H., Carrick, D., Kadir, K., McComb, C., Foster, J., Soraghan, J., Luo, X., Berry, C. (2012) Semi-automatic OEDEMA quantification from direct T2 map cardiac MRI Heart, 98, pp. A7-A7. (doi: 10.1136/heartjnl-2012-302951.022)

Kadir, K., Gao, H., Payne, A., Soraghan, J., Berry, C. (2012) LV wall segmentation using the variational level set method (LSM) with additional shape constraint for oedema quantification Physics in Medicine and Biology, 57, pp. 6007-6023. (doi: 10.1088/0031-9155/57/19/6007)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., Bird, N. (2012) A quasi-nonlinear analysis of the anisotropic behaviour of human gallbladder wall Journal of Biomechanical Engineering, 134, pp. 101009. (doi: 10.1115/1.4007633)

Al-Atabi, M., Ooi, R.C., Luo, X.Y., Chin, S.B., Bird, N.C. (2012) Computational analysis of the flow of bile in human cystic duct Medical Engineering and Physics, 34, pp. 1177-1183. (doi: 10.1016/j.medengphy.2011.12.006)

Jensen, O.E., Hill, N.A. (2012) Preface to special issue dedicated to Professor T.J. Pedley on his 70th birthday Journal of Fluid Mechanics, 705, pp. 1-1. (doi: 10.1017/jfm.2012.252)

Olufsen, M.S., Hill, N.A., Vaughan, G.D.A., Sainsbury, C., Johnson, M. (2012) Rarefaction and blood pressure in systemic and pulmonary arteries Journal of Fluid Mechanics, 705, pp. 280-305. (doi: 10.1017/jfm.2012.220)

Teed, R. J., Jones, C. A., Hollerbach, R. (2012) On the necessary conditions for bursts of convection within the rapidly rotating cylindrical annulus Physics of Fluids, 24, (doi: 10.1063/1.4711398)

Simitev, R.D., Busse, F.H. (2012) How far can minimal models explain the solar cycle? Astrophysical Journal, 749, (doi: 10.1088/0004-637X/749/1/9)

Lockington, D., Luo, X.Y., Wang, H., Hill, N.A., Ramaesh, K. (2012) Mathematical and computer simulation modelling of intracameral forces causing pupil block due to air bubble use in Descemet's Stripping Endothelial Keratoplasty: the mechanics of iris buckling Clinical and Experimental Ophthalmology, 40, pp. 182-186. (doi: 10.1111/j.1442-9071.2011.02653.x)

Davidson, A.J., Mottram, N. (2012) Conformal mapping techniques for the modelling of liquid crystal devices European Journal of Applied Mathematics, 23, pp. 99-119. (doi: 10.1017/S0956792510000380)

Steigmann, D.J., Ogden, R.W. (2012) A note on residual stress, lattice orientation and dislocation density in crystalline solids Journal of Elasticity, 109, pp. 275-283. (doi: 10.1007/s10659-012-9378-1)

Simitev, R.D., Busse, F.H. (2012) Bistable attractors in a model of convection-driven spherical dynamos Physica Scripta, 86, pp. 018409. (doi: 10.1088/0031-8949/86/01/018409)

Stewart, P. S., Davis, S. H. (2012) Dynamics and stability of metallic foams: Network modeling Journal of Rheology, 56, pp. 543. (doi: 10.1122/1.3695029)

Luo, X.Y., Griffith, B.E., Ma, X.S., Yin, M., Wang, T.J., Liang, C.L., Watton, P.N., Bernacca, G.M. (2012) Effect of bending rigidity in a dynamic model of a polyurethane prosthetic mitral valve Biomechanics and Modeling in Mechanobiology, 11, pp. 815-827. (doi: 10.1007/s10237-011-0354-7)

da Costa, F.P., Grinfeld, M., Langer, M., Mottram, N.J., Pinto, J.T. (2012) Kickback in nematic liquid crystals Quarterly of Applied Mathematics, 70, pp. 99-110. (doi: 10.1090/S0033-569X-2011-01265-5)

Abiza, Z., Destrade, M., Ogden, R. (2012) Large acoustoelastic effect Wave Motion, 49, pp. 364-374. (doi: 10.1016/j.wavemoti.2011.12.002)

Mottram, N.J., Newton, C.J.P. (2012) Liquid crystal theory and modelling Springer

Norris, S.A., Watson, S.J. (2012) Mean-field theory for coarsening faceted surfaces Physical Review E, 85, pp. 021608. (doi: 10.1103/PhysRevE.85.021608)

Teed, R., Jones, C., Tobias, S. (2012) Rapidly Rotating Plane Layer Convection with Zonal Flow

Teed, R., Jones, C., Tobias, S. (2012) Searching for Torsional Oscillations in Earth-like Dynamo Simulations

Norris, S.A., Watson, S.J. (2012) Simulating the kinematics of completely faceted surfaces Journal of Computational Physics, 231, pp. 4560-4577. (doi: 10.1016/j.jcp.2012.02.030)

Simitev, R.D., Busse, F.H. (2012) Solar cycle properties described by simple convection-driven dynamos Physica Scripta, 86, pp. 018407. (doi: 10.1088/0031-8949/86/01/018407)

Liu, H.F., Luo, X.Y., Cai, Z.X. (2012) Stability and energy budget of pressure-driven collapsible channel flows Journal of Fluid Mechanics, 705, pp. 348-370. (doi: 10.1017/jfm.2011.254)

Simitev, R.D., MacTaggart, D. (2012) The mathematics of fluid dynamos Commutator, 3, pp. 36-41.

2011

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Tian, T.H., Smythe, A., Majeed, A.W., Bird, N. (2011) Cross-bridge apparent rate constants of human gallbladder smooth muscle Journal of Muscle Research and Cell Motility, 32, pp. 209-220. (doi: 10.1007/s10974-011-9260-y)

Gao, H., Long, Q., Kumar Das, S., Halls, J., Graves, M., Gillard, J.H., Li, Z.-Y. (2011) Study of carotid arterial plaque stress for symptomatic and asymptomatic patients Journal of Biomechanics, 44, pp. 2551-2557. (doi: 10.1016/j.jbiomech.2011.07.012)

Grinfeld, M., Langer, M., Mottram, N. J. (2011) Nematic viscosity estimation using director kickback dynamics Liquid Crystals, 38, pp. 981-987. (doi: 10.1080/02678292.2011.588969)

Gao, H., Long, Q., Das, S.K., Sadat, U., Graves, M., Gillard, J.H., Li, Z.Y. (2011) Stress analysis of carotid atheroma in transient ischemic attack patients: evidence for extreme stress-induced plaque rupture Annals of Biomedical Engineering, 39, pp. 2203-2212. (doi: 10.1007/s10439-011-0314-5)

Brown, C. V., McHale, G., Mottram, N. J. (2011) Analysis of a static undulation on the surface of a thin dielectric liquid layer formed by dielectrophoresis forces Journal of Applied Physics, 110, (doi: 10.1063/1.3606435)

Simitev, R.D. (2011) Double-diffusive convection in a rotating cylindrical annulus with conical caps Physics of the Earth and Planetary Interiors, 186, pp. 183-190. (doi: 10.1016/j.pepi.2011.04.007)

Roper, S.M., Davis, S.H., Voorhees, P.W. (2011) Localisation of convection in mushy layers by weak background flow Journal of Fluid Mechanics, 675, pp. 518-528. (doi: 10.1017/jfm.2011.117)

Busse, F.H., Simitev, R. (2011) Remarks on some typical assumptions in dynamo theory Geophysical and Astrophysical Fluid Dynamics, 105, pp. 234-247. (doi: 10.1080/03091929.2010.519891)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2011) Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity International Journal of Solids and Structures, 48, pp. 874-883. (doi: 10.1016/j.ijsolstr.2010.11.021)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A., Bird, N. (2011) A mechanical model for CCK-induced acalculous gallbladder pain Annals of Biomedical Engineering, 39, pp. 786-800. (doi: 10.1007/s10439-010-0205-1)

Majumdar, A., Mottram, N. (2011) Liquid crystal theory and modelling: Discussion meeting Liquid Crystals Today, 20, pp. 20-21. (doi: 10.1080/1358314x.2010.527662)

Raghib, M., Hill, N.A., Dieckmann, U. (2011) A multiscale maximum entropy moment closure for locally regulated space–time point process models of population dynamics Journal of Mathematical Biology, 62, pp. 605-653. (doi: 10.1007/s00285-010-0345-9)

Simitev, R.D., Biktashev, V.N. (2011) Asymptotics of conduction velocity restitution in models of electrical excitation in the heart Bulletin of Mathematical Biology, 73, pp. 72-115. (doi: 10.1007/s11538-010-9523-6)

Kadir, K., Gao, H., Payne, A., Soraghan, J., Berry, C. (2011) Automatic quantification and 3D visualisation of edema in cardiac MRI (doi: 10.1109/IEMBS.2011.6091978)

Gao, H., Kadir, K., Berry, C., Payen, A., Soraghan, J., Luo, X. (2011) CMRI based 3D left ventricle motion analysis on patients with acute myocardial infarction (doi: 10.1109/IEMBS.2011.6091682)

Shams, M., Destrade, M., Ogden, R.W. (2011) Initial stresses in elastic solids: constitutive laws and acoustoelasticity Wave Motion, 48, pp. 552-567. (doi: 10.1016/j.wavemoti.2011.04.004)

Luo, X., Li, W., Hill, N., Ogden, R., Smythe, A. (2011) Inverse estimation of fibre reinforced soft tissue of human gallbladder wall

Ogden, R.W. (2011) Magnetostatics: from basic principles to nonlinear interactions in deformable media Springer

(2011) Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials pp. 107-152. (doi: 10.1007/978-3-7091-0701-0)

Luo, X. (2011) Modelling flows in collapsible tubes Eolss Publishers

Allan, A., Gao, H., McComb, C., Berry, C. (2011) Myocardial strain estimated from standard cine MRI closely represents strain estimated from dedicated strain-encoded MRI (doi: 10.1109/IEMBS.2011.6090729)

Destrade, M., Ogden, R.W. (2011) On magnetoacoustic waves in finitely deformed elastic solids Mathematics and Mechanics of Solids, 16, pp. 594-604. (doi: 10.1177/1081286510387695)

Saxena, P., Ogden, R. (2011) On surfaces waves in a finitely deformed magnetoelastic half space International Journal of Applied Mechanics, 3, pp. 633-665. (doi: 10.1142/S1758825111001172)

Holzapfel, G.A., Ogden, R.W. (2011) On the bending and stretching elasticity of biopolymer filaments Journal of Elasticity, 104, pp. 319-342. (doi: 10.1007/s10659-010-9277-2)

Ogden, R.W., Saccomandi, G., Sgura, I. (2011) Phenomenological modeling of DNA overstretching Journal of Nonlinear Mathematical Physics, 18, pp. 411-427. (doi: 10.1142/S140292511100160X)

Ogden, R.W., Singh, B. (2011) Propagation of waves in an incompressible transversely isotropic elastic solid with initial stress: biot revisited Journal of Mechanics of Materials and Structures, 6, pp. 453-477. (doi: 10.2140/jomms.2011.6.453)

Gao, H., Long, Q. (2011) Stress analysis on carotid atherosclerotic plaques by fluid structure interaction Springer

Simitev, R. (2011) Thermal convection: patterns, evolution and stability, by M. Lappa Geophysical and Astrophysical Fluid Dynamics, 105, pp. 109-111. (doi: 10.1080/03091929.2010.506096)

Kadir, K., Gao, H., Payne, A., Soraghan, J., Berry, C. (2011) Variational level set method with shape constraint and application to oedema cardiac magnetic resonance image (doi: 10.1109/ICDSP.2011.6004960)

Teed, R., Jones, C., Tobias, S. (2011) Zonal Flow and ‘Bursting’ in the Cylindrical Annulus

2010

Yokoi, N., Balarac, G., Kitiashvili, I.N., Kleeorin, N., Kosovichev, A.G., Rogachevskii, I., Simitev, R. (2010) Integrated exploration of turbulent cross-helicity effect: theory, observation, modeling and numerical simulations of the solar convection zone Proceedings of 2010 CTR Summer Program, pp. 493-502.

Destrade, M., Ogden, R.W. (2010) On the third- and fourth-order constants of incompressible isotropic elasticity Journal of the Acoustical Society of America, 128, pp. 3334-3343. (doi: 10.1121/1.3505102)

Evans, C. R., Davidson, A. J., Brown, C. V., Mottram, N. J. (2010) Static alignment states in a bistable azimuthal nematic device with blazed grating sidewalls Journal of Physics D: Applied Physics, 43, (doi: 10.1088/0022-3727/43/49/495105)

Destrade, M., Murphy, J.G., Ogden, R.W. (2010) On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability International Journal of Engineering Science, 48, pp. 1212-1224. (doi: 10.1016/j.ijengsci.2010.09.011)

Stewart, P. S., Heil, M., Waters, S. L., Jensen, O. E. (2010) Sloshing and slamming oscillations in a collapsible channel flow Journal of Fluid Mechanics, 662, pp. 288-319. (doi: 10.1017/S0022112010003277)

Ghorai, S., Panda, M.K., Hill, N.A. (2010) Bioconvection in a suspension of isotropically scattering phototactic algae Physics of Fluids, 22, pp. 071901. (doi: 10.1063/1.3457163)

Davidson, A. J., Brown, C. V., Mottram, N. J., Ladak, S., Evans, C. R. (2010) Defect trajectories and domain-wall loop dynamics during two-frequency switching in a bistable azimuthal nematic device Physical Review E, 81, (doi: 10.1103/PhysRevE.81.051712)

Al-Atabi, M., Chin, S.B., Luo, X.Y. (2010) Experimental investigation of the flow of bile in patient specific cystic duct models Journal of Biomechanical Engineering, 132, pp. 041003. (doi: 10.1115/1.4001043)

Hopkins, W., Gao, H., Das, S., Long, Q. (2010) Carotid wall motion analysis based on B-mode ultrasound images (doi: 10.1007/978-3-642-14515-5_222)

Holzapfel, G.A., Ogden, R.W. (2010) Constitutive modelling of arteries Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 466, pp. 1551-1597. (doi: 10.1098/rspa.2010.0058)

Gao, H., Long, Q., Graves, M., Li, Z., Gillard, J. (2010) Curvedness study on atherosclerosis plaques and its implications to plaque stress (doi: 10.1007/978-3-642-14515-5_384)

Khan, M., Luo, X.H., Nicolleau, F.C.G.A., Tucker, P.G., Iacono, G.L. (2010) Effects of LES sub-grid flow structure on particle deposition in a plane channel with a ribbed wall International Journal for Numerical Methods in Biomedical Engineering, 26, pp. 999-1015. (doi: 10.1002/cnm.1186)

Yin, M., Luo, X.Y., Wang, T.J., Watton, P.N. (2010) Effects of flow vortex on a chorded mitral valve in the left ventricle International Journal for Numerical Methods in Biomedical Engineering, 26, pp. 381-404. (doi: 10.1002/cnm.1298)

Dorfmann, A., Ogden, R.W. (2010) Electroelastic waves in a finitely deformed electroactive material IMA Journal of Applied Mathematics, 75, pp. 603-636. (doi: 10.1093/imamat/hxq022)

Cisonni, J., Van Hirtum, A., Luo, X.Y., Pelorson, X. (2010) Experimental validation of quasi-one-dimensional and two-dimensional steady glottal flow models Medical and Biological Engineering and Computing, 48, pp. 903-910. (doi: 10.1007/s11517-010-0645-7)

Stewart, P. S., Waters, S. L., Jensen, O. E. (2010) Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer Physics of Fluids, 22, pp. 031902. (doi: 10.1063/1.3337824)

Liu, Z., Xu, X., Lim, F.F.J., Luo, X., Van Hirtum, A., Hill, N.A. (2010) Modeling and simulation of human upper airway Springer-Verlag

Holzapfel, G. A., Ogden, R. W. (2010) Modelling the layer-specific three-dimensional residual stresses in arteries, with an application to the human aorta Journal of the Royal Society: Interface, 7, pp. 787-799. (doi: 10.1098/rsif.2009.0357)

Dorfmann, A., Merodio, J., Ogden, R. W. (2010) Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material Journal of Engineering Mathematics, 68, pp. 27-36. (doi: 10.1007/s10665-009-9318-7)

Zhu, Y.F., Luo, X.Y., Ogden, R.W. (2010) Nonlinear axisymmetric deformations of an elastic tube under external pressure European Journal of Mechanics - A/Solids, 29, pp. 216-229. (doi: 10.1016/j.euromechsol.2009.10.004)

Dorfmann, A., Ogden, R.W. (2010) Nonlinear electroelastostatics: Incremental equations and stability International Journal of Engineering Science, 48, pp. 1-14. (doi: 10.1016/j.ijengsci.2008.06.005)

Simitev, R.D., Busse, F.H. (2010) Problems of astrophysical turbulent convection: thermal convection in a layer without boundaries Center for Turbulence Research, Stanford University

Roper, S.M., Anderson, A.M., Davis, S.H., Voorhees, P.W. (2010) Radius selection and droplet unpinning in vapor-liquid-solid-grown nanowires Journal of Applied Physics, 107, pp. 114320. (doi: 10.1063/1.3434403)

Teed, R. J., Jones, C. A., Hollerbach, R. (2010) Rapidly rotating plane layer convection with zonal flow Geophysical and Astrophysical Fluid Dynamics, 104, pp. 457-480. (doi: 10.1080/03091929.2010.512290)

Busse, F.H., Simitev, R.D. (2010) Some unusual properties of turbulent convection and dynamos in rotating spherical shells Springer

Stewart, P. S., Waters, S. L., Billingham, J., Jensen, O. E. (2010) Spatially localised growth within global instabilities of flexible channel flows Springer

Liu, H.F., Luo, X.Y., Cai, Z.X. (2010) Stability and Pressure Boundary conditions in the collapsible channel flows ASME

Destrade, M., Gilchrist, M.D., Ogden, R.W. (2010) Third- and fourth-order elasticities of biological soft tissues Journal of the Acoustical Society of America, 127, pp. 2103-2106. (doi: 10.1121/1.3337232)

Simitev, R.D., Busse, F.H., Kosovichev, A.G. (2010) Turbulent 3D MHD dynamo model in spherical shells: regular oscillations of the dipolar field Center for Turbulence Research, Stanford University

2009

Bustamante, R., Dorfmann, A., Ogden, R.W. (2009) On electric body forces and Maxwell stresses in nonlinearly electroelastic solids International Journal of Engineering Science, 47, pp. 1131-1141. (doi: 10.1016/j.ijengsci.2008.10.010)

Holzapfel, G.A., Ogden, R.W. (2009) Constitutive modelling of passive myocardium: a structurally based framework for material characterization Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367, pp. 3445-3475. (doi: 10.1098/rsta.2009.0091)

Gao, H., Long, Q., Graves, M., Gillard, J.H., Li, Z.Y. (2009) Carotidarterialplaquestressanalysis using fluid–structure interactive simulation based on in-vivo magnetic resonance images of four patients Journal of Biomechanics, 42, pp. 1416-1423. (doi: 10.1016/j.jbiomech.2009.04.010)

Stewart, P., Waters, S.L., Jensen, O.E. (2009) Local and global instabilities of flow in a flexible-walled channel European Journal of Mechanics - B/Fluids, 28, pp. 541-557. (doi: 10.1016/j.euromechflu.2009.03.002)

Gao, H., Long, Q., Graves, M., Gillard, J.H., Li, Z.Y. (2009) Study of reproducibility of human arterial plaque reconstruction and its effects on stress analysis based on multispectral in vivo magnetic resonance imaging Journal of Magnetic Resonance Imaging, 30, pp. 85-93. (doi: 10.1002/jmri.21799)

Ogden, R.W. (2009) Incremental elastic motions superimposed on a finite deformation in the presence of an electromagnetic field International Journal of Non-Linear Mechanics, 44, pp. 570-580. (doi: 10.1016/j.ijnonlinmec.2008.11.017)

Liu, H.F., Luo, X.Y., Cai, Z.X., Pedley, T.J. (2009) Sensitivity of unsteady collapsible channel flows to modelling assumptions Communications in Numerical Methods in Engineering, 25, pp. 483-504. (doi: 10.1002/cnm.1217)

Destrade, M., Ogden, R.W., Saccomandi, G. (2009) Small amplitude waves and stability for a pre-stressed viscoelastic solid Zeitschrift für Angewandte Mathematik und Physik, 60, pp. 511-528. (doi: 10.1007/s00033-008-7147-6)

Ladak, S., Davidson, A., Brown, C. V., Mottram, N. J. (2009) Sidewall control of static azimuthal bistable nematic alignment states Journal of Physics D: Applied Physics, 42, (doi: 10.1088/0022-3727/42/8/085114)

Da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T. (2009) Uniqueness in the Freedericksz transition with weak anchoring Journal of Differential Equations, 246, pp. 2590-2600. (doi: 10.1016/j.jde.2009.01.033)

Liang, C., Papadakis, G., Luo, X.Y. (2009) Effect of tube spacing on the vortex shedding characteristics of laminar flow past an inline tube array: a numerical study Computers and Fluids, 38, pp. 950-964. (doi: 10.1016/j.compfluid.2008.10.005)

Griffith, B.E., Luo, X.Y., McQueen, D.M., Peskin, C.S. (2009) Simulating the fluid dynamics of natural and prosthetic heart valves using the immersed boundary method International Journal of Applied Mechanics, 1, pp. 137-177. (doi: 10.1142/S1758825109000113)

Watton, P.N., Hill, N.A. (2009) Evolving mechanical properties of a model of abdominal aortic aneurysm Biomechanics and Modeling in Mechanobiology, 8, pp. 25-42. (doi: 10.1007/s10237-007-0115-9)

Gao, H., Long, Q., Sadat, U., Graves, M., Gillard, J.H., Li, Z.Y. (2009) Stress analysis of carotid atheroma in a transient ischaemic attack patient using the MRI-based fluid–structure interaction method British Journal of Radiology, 82, pp. S46-S54. (doi: 10.1259/bjr/20307071)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2009) Nonlinear electroelastostatics: a variational framework Zeitschrift für Angewandte Mathematik und Physik, 60, pp. 154-177. (doi: 10.1007/s00033-007-7145-0)

Ogden, R.W. (2009) Anisotropy and nonlinear elasticity in arterial wall mechanics Springer

(2009) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels

Simitev, R., Busse, F.H. (2009) Bistability and hysteresis of dipolar dynamos generated by turbulent convection in rotating spherical shells Europhysics Letters, 85, pp. 19001. (doi: 10.1209/0295-5075/85/19001)

Luo, X.Y. (2009) Flow in collapsible tubes or over compliant surfaces for biomedical applications Communications in Numerical Methods in Engineering, 25, pp. 401. (doi: 10.1002/cnm.1245)

Simitev, R.D., Busse, F.H. (2009) Magneto-inertial convection in rotating fluid spheres arXiv,

Holzapfel, G.A., Ogden, R.W. (2009) On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework Mathematics and Mechanics of Solids, 14, pp. 474-489. (doi: 10.1177/1081286507084411)

Ciambella, J., Destrade, M., Ogden, R.W. (2009) On the ABAQUS FEA model of finite viscoelasticity Rubber Chemistry and Technology, 82, pp. 184-193.

2008

Gao, D.Y., Ogden, R.W. (2008) Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation Quarterly Journal of Mechanics and Applied Mathematics, 61, pp. 497-522. (doi: 10.1093/qjmam/hbn014)

Li, W.G., Luo, X.Y., Chin, S.B., Hill, N.A., Johnson, A.G., Bird, N.C. (2008) Non-Newtonian bile flow in elastic cystic duct: one- and three-dimensional modeling Annals of Biomedical Engineering, 36, pp. 1893-1908. (doi: 10.1007/s10439-008-9563-3)

Gao, H., Long, Q. (2008) Effects of varied lipid core volume and fibrous cap thickness on stress distribution in carotid arterial plaques Journal of Biomechanics, 41, pp. 3053-3059. (doi: 10.1016/j.jbiomech.2008.07.011)

Busse, F.H., Simitev, R.D. (2008) Toroidal flux oscillations as possible causes of geomagnetic excursions and reversals Physics of the Earth and Planetary Interiors, 168, pp. 237-243. (doi: 10.1016/j.pepi.2008.06.007)

Zhu, Y., Luo, X.Y., Ogden, R.W. (2008) Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure International Journal of Solids and Structures, 45, pp. 3410-3429. (doi: 10.1016/j.ijsolstr.2008.02.005)

Trabi, C. L., Brown, C. V., Smith, A. A. T., Mottram, N. J. (2008) Interferometric method for determining the sum of the flexoelectric coefficients (e1+e3) in an ionic nematic material Applied Physics Letters, 92, (doi: 10.1063/1.2938722)

Gao, D.Y., Ogden, R.W. (2008) Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem Zeitschrift für Angewandte Mathematik und Physik, 59, pp. 498-517. (doi: 10.1007/s00033-007-7047-1)

Plaut, E., Lebranchu, Y., Simitev, R., Busse, F.H. (2008) Reynolds stresses and mean fields generated by pure waves: applications to shear flows and convection in a rotating shell Journal of Fluid Mechanics, 602, pp. 303-326. (doi: 10.1017/S0022112008000840)

Quintans Carou, J., Wilson, S. K., Mottram, N. J., Duffy, B. R. (2008) Asymptotic and numerical analysis of a simple model for blade coating Journal of Engineering Mathematics, 63, pp. 155-176. (doi: 10.1007/s10665-008-9226-2)

Luo, X.Y., Cai, Z.X., Li, W.G., Pedley, T.J. (2008) The cascade structure of linear instability in collapsible channel flows Journal of Fluid Mechanics, 600, pp. 45-76. (doi: 10.1017/S0022112008000293)

Li, W.G., Luo, X.Y., Hill, N.A., Smythe, A., Chin, S.B., Johnson, A.G., Bird, N.C. (2008) Correlation of mechanical factors and gallbladder pain Computational and Mathematical Methods in Medicine, 9, pp. 27-45. (doi: 10.1080/17486700701780266)

Biktashev, V.N., Suckley, R., Elkin, Y.E., Simitev, R.D. (2008) Asymptotic analysis and analytical solutions of a model of cardiac excitation Bulletin of Mathematical Biology, 70, pp. 517-554. (doi: 10.1007/s11538-007-9267-0)

Al-Atabi, M., Chin, S.B., Luo, X.Y., Beck, S. (2008) Investigation of the flow in a compliant idealised human cystic duct Journal of Biomechanical Science and Engineering, 3, pp. 411-418. (doi: 10.1299/jbse.3.411)

Watton, P.N., Luo, X.Y., Yin, M., Bernacca, G.M., Wheatley, D.J. (2008) Effect of ventricle motion on the dynamic behaviour of chorded mitral valves Journal of Fluids and Structures, 24, pp. 58-74. (doi: 10.1016/j.jfluidstructs.2007.06.004)

Norris, S.A., Davis, S.H., Watson, S.J., Voorhees, P.W. (2008) Faceted interfaces in directional solidification Journal of Crystal Growth, 310, pp. 414-427. (doi: 10.1016/j.jcrysgro.2007.10.048)

Ottenio, M., Destrade, M., Ogden, R.W. (2008) Incremental magnetoelastic deformations, with application to surface instability Journal of Elasticity, 90, pp. 19-42. (doi: 10.1007/s10659-007-9120-6)

Roper, S.M., Davis, S.H., Voorhees, P.W. (2008) An analysis of convection in a mushy layer with a deformable permeable interface Journal of Fluid Mechanics, 596, pp. 333-352. (doi: 10.1017/S0022112007009469)

Simitev, R., Biktashev, V.N. (2008) Analytically solvable asymptotic model of atrial excitability Birkhäuser

Kassianidis, F., Ogden, R.W., Merodio, J., Pence, T.J. (2008) Azimuthal shear of a transversely isotropic elastic solid Mathematics and Mechanics of Solids, 13, pp. 690-724. (doi: 10.1177/1081286507079830)

Trabi, C. L., Smith, A. A. T., Mottram, N. J., Brown, C. V. (2008) Flexoelectric polarisation effects in nematic liquid crystal phase gratings (doi: 10.1117/12.794912)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2008) On boundary conditions in nonlinear magneto- and electroelasticity Taylor & Francis

Bustamante, R., Dorfmann, A., Ogden, R.W. (2008) On variational formulations in nonlinear magnetoelastostatics Mathematics and Mechanics of Solids, 13, pp. 725-745. (doi: 10.1177/1081286507079832)

Brush, L.B., Roper, S.M. (2008) The thinning of lamellae in surfactant-free foams with non-Newtonian liquid phase Journal of Fluid Mechanics, 616, pp. 235-262. (doi: 10.1017/S0022112008003790)

2007

Mottram, N., Davidson, A. (2007) Mutistable reflective liquid crystal device

Norris, S.A., Watson, S.J. (2007) Geometric simulation and surface statistics of coarsening faceted surfaces Acta Materialia, 55, pp. 6444-6452. (doi: 10.1016/j.actamat.2007.08.014)

Diaz, A., McKay, G., Mottram, N. J. (2007) Effect of decoupled azimuthal and zenithal anchoring on smectic-C chevron structures Physical Review E, 76, (doi: 10.1103/physreve.76.041705)

Zhang, J., Watson, S.J., Wong, H. (2007) Fluid flow and heat transfer in a dual-wet micro heat pipe Journal of Fluid Mechanics, 589, pp. 1-31. (doi: 10.1017/S0022112007007823)

Roper, S.M., Davis, S.H., Norris, S.A., Golovin, A.A., Vorhees, P.W., Weiss, M. (2007) Steady growth of nanowires via the vapor-liquid-solid method Journal of Applied Physics, 102, pp. 034304. (doi: 10.1063/1.2761836)

Palto, S. P., Mottram, N. J., Osipov, M. A. (2007) Flexoelectric instability and a spontaneous chiral-symmetry breaking in a nematic liquid crystal cell with asymmetric boundary conditions Physical Review E, 75, (doi: 10.1103/PhysRevE.75.061707)

Luo, X., Calderhead, B., Liu, H., Li, W. (2007) On the initial configurations of collapsible channel flow Computers and Structures, 85, pp. 977-987. (doi: 10.1016/j.compstruc.2006.11.010)

Ghorai, S., Hill, N.A. (2007) Gyrotactic bioconvection in three dimensions Physics of Fluids, 19, pp. 054107. (doi: 10.1063/1.2731793)

Quintans Carou, J., Mottram, N. J., Wilson, S. K., Duffy, B. R. (2007) A mathematical model for blade coating of a nematic liquid crystal Liquid Crystals, 34, pp. 621-631. (doi: 10.1080/13682820701261801)

Roper, S.M., Davis, S.H., Voorhees, P.W. (2007) Convection in a mushy zone forced by sidewall heat losses Metallurgical and Materials Transactions A, 38, pp. 1069-1079. (doi: 10.1007/s11661-007-9119-4)

Smith, A. A. T., Brown, C. V., Mottram, N. J. (2007) Theoretical analysis of the magnetic Fréedericksz transition in the presence of flexoelectricity and ionic contamination Physical Review E, 75, (doi: 10.1103/PhysRevE.75.041704)

Tsakonas, C., Davidson, A. J., Brown, C. V., Mottram, N. J. (2007) Multistable alignment states in nematic liquid crystal filled wells Applied Physics Letters, 90, (doi: 10.1063/1.2713140)

Luo, X., Li, W., Bird, N., Chin, S. B., Hill, N.A., Johnson, A. G. (2007) On the mechanical behavior of the human biliary system World Journal of Gastroenterology, 13, pp. 1384-1392. (doi: 10.3748/wjg.v13.i9.1384)

Dorfmann, A., Ogden, R.W., Wineman, A.S. (2007) A three-dimensional non-linear constitutive law for magnetorheological fluids, with applications International Journal of Non-Linear Mechanics, 42, pp. 381-390. (doi: 10.1016/j.ijnonlinmec.2007.03.002)

Ogden, R.W., Saccomandi, G., Sgura, I. (2007) Computational aspects of Worm-Like-Chain interpolation formulas Computers and Mathematics with Applications, 53, pp. 276-286. (doi: 10.1016/j.camwa.2006.02.024)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2007) A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution Journal of Engineering Mathematics, 59, pp. 139-153. (doi: 10.1007/s10665-006-9088-4)

Ottenio, M., Destrade, M., Ogden, R.W. (2007) Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid International Journal of Non-Linear Mechanics, 42, pp. 310-320. (doi: 10.1016/j.ijnonlinmec.2006.10.001)

Roper, S.M., Lister, J.R. (2007) Buoyancy-driven crack propagation: the limit of large fracture toughness Journal of Fluid Mechanics, 580, pp. 359-380. (doi: 10.1017/S0022112007005472)

Getling, A.V., Simitev, R., Busse, F.H. (2007) Can cellular convection in a rotating spherical shell maintain both global and local magnetic fields? International Journal of Geomagnetism and Aeronomy, 7, pp. GI1004. (doi: 10.1029/2005GI000138)

Watton, P.N., Luo, X.Y., Wang, X., Bernacca, G.M., Molloy, P., Wheatley, D.J. (2007) Dynamic modelling of prosthetic chorded mitral valves using the immersed boundary method Journal of Biomechanics, 40, pp. 613-626. (doi: 10.1016/j.jbiomech.2006.01.025)

Busse, F.H., Dormy, E., Simitev, R., Soward, A.M. (2007) Dynamics of rotating fluids CRC Press

Al-Atabi, M., Chin, S.B., Beck, S., Luo, X.Y. (2007) Flow in idealised compliant human cystic duct models Springer

Ogden, R.W. (2007) Incremental statics and dynamics of pre-stressed elastic materials Springer

Ogden, R.W., Saccomandi, G. (2007) Introducing mesoscopic information into constitutive equations for arterial walls Biomechanics and Modeling in Mechanobiology, 6, pp. 333-344. (doi: 10.1007/s10237-006-0064-8)

Vaughan, G.A., Connell, J., Johnson, M.K., Olufsen, M.S., Hill, N.A., Sainsbury, C.A.R. (2007) Investigating the relationship between microvascular rarefaction and systemic hypertension: a mathematical and computational model of the circulation Journal of Human Hypertension, 21, pp. 840-840.

Holzapfel, G.A., Sommer, G., Auer, M., Regitnig, P., Ogden, R.W. (2007) Layer-specific 3D residual deformations of human aortas with non-atherosclerotic intimal thickening Annals of Biomedical Engineering, 35, pp. 530-545. (doi: 10.1007/s10439-006-9252-z)

Kassianidid, F., Ogden, R. (2007) On large bending deformations of transversely isotropic rectangular elastic blocks Note di Matematica, 27, pp. 131-154. (doi: 10.1285/i15900932v27n2p131)

Luo, X.Y., Li, W.G., Bird, N., Chin, S.B., Hill, N.A., Johnson, A.G. (2007) On the mechanical behaviour of the human biliary system World Journal of Gastroenterology, 13, pp. 1384-1392.

Li, W.G., Luo, X.Y., Johnson, A.G., Hill, N.A., Bird, N., Chin, S.B. (2007) One-dimensional models for the human biliary system Journal of Biomechanical Engineering, 129, pp. 164-173. (doi: 10.1115/1.2472379)

Busse, F.H., Simitev, R. (2007) Planetary dynamos Elsevier

Liu, Z.S., Luo, X.Y., Lee, H.P., Lu, C. (2007) Snoring source identification and snoring noise prediction Journal of Biomechanics, 40, pp. 861-870. (doi: 10.1016/j.jbiomech.2006.03.022)

Steigmann, D. J., Ogden, R. W. (2007) Surface waves supported by thin-film/substrate interactions IMA Journal of Applied Mathematics, 72, pp. 730-747. (doi: 10.1093/imamat/hxm018)

Lebranchu, Y., Plaut, E., Simitev, R., Busse, F. (2007) Étude théorique d'ondes De Rossby thermiques non linéaires en géométrie sphérique: influence du mode de chauffage Comptes Rendus Rencontre du Non Linéaire, 2007, pp. 95-100.

2006

Mottram, N. J., Care, C. M., Cleaver, D. J. (2006) Control of the nematic-isotropic phase transition by an electric field Physical Review E, 74, (doi: 10.1103/PhysRevE.74.041703)

Bird, N.C., Ooi, R.C., Luo, X.Y., Chin, S.B., Johnson, A.G. (2006) Investigation of the functional three-dimensional anatomy of the human cystic duct: A single helix? Clinical Anatomy, 19, pp. 528-534. (doi: 10.1002/ca.20219)

Mottram, N. J., Brown, C. V. (2006) Pulsed addressing of a dual-frequency nematic liquid crystal Physical Review E, 74, (doi: 10.1103/PhysRevE.74.031703)

Al-Atabi, M., Chin, S.B., Luo, X.Y. (2006) Visualization experiment of flow structures inside two-dimensional human biliary system models Journal of Mechanics in Medicine and Biology (JMMB), 6, pp. 249-260. (doi: 10.1142/S0219519406001911)

Busse, F.H., Simitev, R. (2006) Dynamos of giant planets Proceedings of the International Astronomical Union, 2, pp. 467-474. (doi: 10.1017/S1743921307000920)

Getling, A.V., Simitev, R., Busse, F.H. (2006) Generation of coupled global and local magnetic fields by a cellular MHD dynamo Proceedings of the International Astronomical Union, 2, pp. 482-487. (doi: 10.1017/S1743921307000944)

Busse, F.H., Simitev, R. (2006) Parameter dependences of convection-driven dynamos in rotating spherical fluid shells Geophysical and Astrophysical Fluid Dynamics, 100, pp. 341-361. (doi: 10.1080/03091920600784873)

Al-Atabi, M., Al-Zuhair, S., Chin, S.B., Luo, X.Y. (2006) Pressure drop in laminar and turbulent flows in circular pipe with baffles − an experimental and analytical study International Journal of Fluid Mechanics Research, 33, pp. 303-319. (doi: 10.1615/InterJFluidMechRes.v33.i4.10)

Mottram, N., Ramage, A., Kelly, G., Davidson, A. (2006) Bistable liquid crystal device

Biktasheva, I.V., Simitev, R., Suckley, R., Biktashev, V.N. (2006) Asymptotic properties of mathematical models of excitability Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 364, pp. 1283-1298. (doi: 10.1098/rsta.2006.1770)

Watson, S.J., Norris, S.A. (2006) Scaling theory and morphometrics for a coarsening multiscale surface, via a principle of maximal dissipation Physical Review Letters, 96, pp. 176103. (doi: 10.1103/PhysRevLett.96.176103)

Simitev, R., Biktashev, V.N. (2006) Conditions for propagation and block of excitation in an asymptotic model of atrial tissue Biophysical Journal, 90, pp. 2258-2269. (doi: 10.1529/biophysj.105.072637)

Sgura, I., Saccomandi, G., Ogden, R.W. (2006) On worm-like chain models within the three-dimensional continuum mechanics framework Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 462, pp. 749-768. (doi: 10.1098/rspa.2005.1592)

Quintans Carou, J., Duffy, B. R., Mottram, N. J., Wilson, S. K. (2006) Shear-driven and pressure-driven flow of a nematic liquid crystal in a slowly varying channel Physics of Fluids, 18, (doi: 10.1063/1.2145750)

Watton, P.N., Luo, X.Y., Yin, M., Bernacca, G.M., Molloy, P., Wheatley, D.J. (2006) Effects of Ventricle Motion on Chorded Mitral Prostheses (doi: 10.1115/PVP2006-ICPVT-11-93877)

Guillou, A., Ogden, R.W. (2006) Growth in soft biological tissue and residual stress development Springer-Verlag

Gasser, T.C., Ogden, R.W., Holzapfel, G.A. (2006) Hyperelastic modelling of arterial layers with distributed collagen fibre orientations Journal of the Royal Society: Interface, 3, pp. 15-35. (doi: 10.1098/rsif.2005.0073)

(2006) Mechanics of Biological Tissue

Dorfmann, A., Ogden, R.W. (2006) Nonlinear electroelastic deformations Journal of Elasticity, 82, pp. 99-127. (doi: 10.1007/s10659-005-9028-y)

Bustamante, R., Ogden, R.W. (2006) On nonlinear universal relations in nonlinear elasticity Zeitschrift für Angewandte Mathematik und Physik, 57, pp. 708-721. (doi: 10.1007/s00033-006-0068-3)

Merodio, J., Ogden, R.W. (2006) On the equivalence of strong ellipticity in the material and spatial settings of finite elasticity Zeitschrift für Angewandte Mathematik und Physik, 57, pp. 1096-1101. (doi: 10.1007/s00033-006-0078-1)

Domanski, W., Ogden, R.W. (2006) On the null condition for nonlinearly elastic solids Archives of Mechanics, 58, pp. 339-361.

Merodio, J., Ogden, R.W. (2006) The influence of the invariant I8I8 on the stress–deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids International Journal of Non-Linear Mechanics, 41, pp. 556-563. (doi: 10.1016/j.ijnonlinmec.2006.02.001)

Bustamante, R., Ogden, R.W. (2006) Universal relations for nonlinear electroelastic solids Acta Mechanica, 182, pp. 125-140. (doi: 10.1007/s00707-005-0290-7)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2006) Universal relations in isotropic nonlinear magnetoelasticity Quarterly Journal of Mechanics and Applied Mathematics, 59, pp. 435-450. (doi: 10.1093/qjmam/hbl010)

Idris, I., Simitev, R., Biktashev, V.N. (2006) Using novel simplified models of excitation for analytic description of initiation propagation and blockage of excitation waves Computers in Cardiology, 33, pp. 213-216.

2005

Diaz, A., Mottram, N. J., McKay, G. (2005) Theoretical model of the transition between C1 and C2 chevron structures in smectic liquid crystals European Physical Journal E, 18, pp. 231-237. (doi: 10.1140/epje/i2005-10041-7)

Dorfmann, A., Ogden, R.W. (2005) Reply to A. Zhong "Discussions on 'A constitutive model for the Mullins effect with permanent set in a particle-reinforced rubber' by A. Dorfmann and R.W. Ogden" International Journal of Solids and Structures, 42, pp. 4909-4910. (doi: 10.1016/j.ijsolstr.2004.12.001)

Marzo, A., Luo, X.Y., Bertram, C.D. (2005) Three-dimensional collapse and steady flow in thick-walled flexible tubes Journal of Fluids and Structures, 20, pp. 817-835. (doi: 10.1016/j.jfluidstructs.2005.03.008)

Ghorai, S., Hill, N.A. (2005) Penetrative phototactic bioconvection Physics of Fluids, 17, pp. 074101. (doi: 10.1063/1.1947807)

Miroshnychenko, D., Hill, N.A., Mottram, N.J., Lydon, J.E. (2005) Evolution from A 2 defect to 1/2 defects in a cylindrical geometry Molecular Crystals and Liquid Crystals, 437, pp. 1495-1511. (doi: 10.1080/15421400590955334)

Simitev, R., Busse, F.H. (2005) Prandtl-number dependence of convection-driven dynamos in rotating spherical fluid shells Journal of Fluid Mechanics, 532, pp. 365-388. (doi: 10.1017/S0022112005004398)

Al-Atabi, M.T., Chin, S.B., Luo, X.Y. (2005) Visualization of mixing of flow in circular tubes with segmental baffles Journal of Visualization, 8, pp. 89. (doi: 10.1007/BF03181649)

Codling, E.A., Hill, N.A. (2005) Sampling rate effects on measurements of correlated and biased random walks Journal of Theoretical Biology, 233, pp. 573-588. (doi: 10.1016/j.jtbi.2004.11.008)

Getling, A.V., Simitev, R., Busse, F.H. (2005) Cellular dynamo in a rotating spherical shell Astronomische Nachrichten, 326, pp. 241-244. (doi: 10.1002/asna.200410383)

Busse, F.H., Simitev, R. (2005) Dynamos driven by convection in rotating spherical shells Astronomische Nachrichten, 326, pp. 231-240. (doi: 10.1002/asna.200410382)

Watton, P.N., Luo, X.Y., Singleton, R., Wang, X., Bernacca, G.M., Molloy, P., Wheatley, D.J. (2005) Modelling Chorded Prosthetic Mitral Valves Using the Immersed Boundary Method (doi: 10.1109/IEMBS.2004.1404051)

Mulholland, J.W., Shelton, J.C., Luo, X. (2005) Blood flow and damage by the roller pumps during cardiopulmonary bypass Journal of Fluids and Structures, 20, pp. 129-140. (doi: 10.1016/j.jfluidstructs.2004.10.008)

Hill, N.A., Pedley, T.J. (2005) Bioconvection Fluid Dynamics Research, 37, pp. 1-20. (doi: 10.1016/j.fluiddyn.2005.03.002)

Roper, S.M., Lister, J.R. (2005) Buoyancy-driven crack propagation from an over-pressured source Journal of Fluid Mechanics, 536, pp. 79-98. (doi: 10.1017/S0022112005004337)

Codling, E.A., Hill, N.A. (2005) Calculating spatial statistics for velocity jump processes with experimentally observed reorientation parameters Journal of Mathematical Biology, 51, pp. 527-556. (doi: 10.1007/s00285-005-0317-7)

Busse, F.H., Simitev, R. (2005) Convection in rotating spherical fluid shells and its dynamo states CRC Press

Watton, P.N., Luo, X.Y., Wang, X., Bernacca, G.M., Molloy, P., Wheatley, D.J. (2005) Dynamic behaviour of aortic and chorded mitral prostheses

Diaz, A., Mottram, N. J., McKay, G. (2005) Effects of weak anchoring on C1 and C2 chevron structures Molecular Crystals and Liquid Crystals, 438, pp. 17[1581]-25[1589]. (doi: 10.1080/15421400590957080)

Kelly, G., Mottram, N. J., Ramage, A. (2005) Electric field effects on nematic wetting layers Molecular Crystals and Liquid Crystals, 438, pp. 271[1835]-282[1846]. (doi: 10.1080/15421400590955541)

Al-Atabi, M., Chin, S.B., Luo, X.Y. (2005) Flow structure in circular tubes with segmental baffles Journal of Flow Visualization and Image Processing, 12, pp. 301-311. (doi: 10.1615/JFlowVisImageProc.v12.i3.60)

Dunwoody, J., Ogden, R.W. (2005) Heat conduction and controlled deformations in incompressible isotropic elasticity Mathematics and Mechanics of Solids, 10, pp. 487-502. (doi: 10.1177/1081286505036416)

Miroshnychenko, D., Hill, N.A., Mottram, N.J., Lydon, J.E. (2005) Liquid Crystal Pre-patterning in Mitosis

Watton, P.N., Hill, N.A., Dodds, S. (2005) Mechanical behaviour of a mathematical model of an abdominal aortic aneurysm subject to a prorogating pulse wave

Merodio, J., Ogden, R.W. (2005) Mechanical response of fiber-reinforced incompressible non-linearly elastic solids International Journal of Non-Linear Mechanics, 40, pp. 213-227. (doi: 10.1016/j.ijnonlinmec.2004.05.003)

Ogden, R.W. (2005) Mechanics of rubberlike solids Springer

Dorfmann, A., Ogden, R.W. (2005) Nonlinear electroelasticity Acta Mechanica, 174, pp. 167-183. (doi: 10.1007/s00707-004-0202-2)

Merodio, J., Ogden, R.W. (2005) On tensile instabilities and ellipticity loss in fiber-reinforced incompressible non-linearly elastic solids Mechanics Research Communications, 32, pp. 290-299. (doi: 10.1016/j.mechrescom.2004.06.008)

Vinh, P.C., Ogden, R.W. (2005) On the Rayleigh wave speed in orthotropic elastic solids Meccanica, 40, pp. 147-161. (doi: 10.1007/s11012-005-1603-6)

Merodio, J., Ogden, R.W. (2005) Remarks on instabilities and ellipticity for a fiber-reinforced compressible nonlinearly elastic solid under plane deformation Quarterly of Applied Mathematics, 63, pp. 325-333.

Dorfmann, A., Ogden, R.W. (2005) Some problems in nonlinear magnetoelasticity Zeitschrift für Angewandte Mathematik und Physik, 56, pp. 718-745. (doi: 10.1007/s00033-004-4066-z)

Quintans Carou, J., Duffy, B. R., Mottram, N. J., Wilson, S. K. (2005) Steady flow of a nematic liquid crystal in a slowly varying channel Molecular Crystals and Liquid Crystals, 438, pp. 237[1801]-249[1839]. (doi: 10.1080/15421400590955569)

Destrade, A., Ogden, R.W. (2005) Surface waves in a stretched and sheared incompressible elastic material International Journal of Non-Linear Mechanics, 40, pp. 241-253. (doi: 10.1016/j.ijnonlinmec.2004.05.008)

Merodio, J., Ogden, R.W. (2005) Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids International Journal of Engineering Science, 43, pp. 697-706. (doi: 10.1016/j.ijengsci.2005.01.001)

Dorfmann, A., Ogden, R.W., Saccomandi, G. (2005) The effect of rotation on the nonlinear magnetoelastic response of a circular cylindrical tube International Journal of Solids and Structures, 42, pp. 3700-3715. (doi: 10.1016/j.ijsolstr.2004.11.019)

2004

Ooi, R.C., Luo, X.Y., Chin, S.B., Johnson, A.G., Bird, N.C. (2004) The flow of bile in the human cystic duct Journal of Biomechanics, 37, pp. 1913-1922. (doi: 10.1016/j.jbiomech.2004.02.029)

Horgan, C.O., Ogden, R.W., Saccomandi, G. (2004) A theory of stress softening of elastomers based on finite chain extensibility Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 460, pp. 1737-1754. (doi: 10.1098/rspa.2003.1248)

Luo, X.Y., Hinton, J.S., Liew, T.T., Tan, K.K. (2004) LES modelling of flow in a simple airway model Medical Engineering and Physics, 26, pp. 403-413. (doi: 10.1016/j.medengphy.2004.02.008)

Simitev, R., Busse, F.H. (2004) Inertial convection in rotating fluid spheres Journal of Fluid Mechanics, 498, pp. 23-30. (doi: 10.1017/S0022112003006943)

Kirkinis, E., Ogden, R.W., Haughton, D.M. (2004) Some solutions for a compressible isotropic elastic material Zeitschrift für Angewandte Mathematik und Physik, 55, pp. 136-158. (doi: 10.1007/s00033-003-3048-x)

Dorfmann, A., Ogden, R.W. (2004) A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber International Journal of Solids and Structures, 41, pp. 1855-1878. (doi: 10.1016/j.ijsolstr.2003.11.014)

Watton, P.N., Hill, N.A., Heil, M. (2004) A mathematical model for the growth of the abdominal aortic aneurysm Biomechanics and Modeling in Mechanobiology, 3, pp. 98-113. (doi: 10.1007/s10237-004-0052-9)

Holzapfel, G.A., Gasser, T.C., Ogden, R.W. (2004) Comparison of a multi-layer structural model for arterial walls with a fung-type model, and issues of material stability Journal of Biomechanical Engineering, 126, pp. 264-275. (doi: 10.1115/1.1695572)

Ogden, R.W. (2004) Elasticity and inelasticity of rubber Springer

Ogden, R.W., Saccomandi, G., Sgura, I. (2004) Fitting hyperelastic models to experimental data Computational Mechanics, 34, pp. 484-502. (doi: 10.1007/s00466-004-0593-y)

Woods, P. D., Stewart, I. W., Mottram, N. J. (2004) Flow effect in director relaxation of bookshelf aligned smectic C liquid crystals Molecular Crystals and Liquid Crystals, 413, pp. 271-278. (doi: 10.1080/15421400490437088)

Vinh, P.C., Ogden, R.W. (2004) Formulas for the Rayleigh wave speed in orthotropic elastic solids Archives of Mechanics, 56, pp. 247-265.

(2004) Mechanics and Thermomechanics of Rubberlike Solids 452,

Dorfmann, A., Ogden, R.W. (2004) Nonlinear magnetoelastic deformations Quarterly Journal of Mechanics and Applied Mathematics, 57, pp. 599-622. (doi: 10.1093/qjmam/57.4.599)

Dorfmann, A., Ogden, R.W. (2004) Nonlinear magnetoelastic deformations of elastomers Acta Mechanica, 167, pp. 13-28. (doi: 10.1007/s00707-003-0061-2)

Ogden, R.W., Vinh, P.C. (2004) On Rayleigh waves in incompressible orthotropic elastic solids Journal of the Acoustical Society of America, 115, pp. 530-533. (doi: 10.1121/1.1636464)

Vinh, P.C., Ogden, R.W. (2004) On formulas for the Rayleigh wave speed Wave Motion, 39, pp. 191-197. (doi: 10.1016/j.wavemoti.2003.08.004)

Codling, E.A., Hill, N.A., Pitchford, J.W., Simpson, S.D. (2004) Random walk models for the movement and recruitment of reef fish larvae Marine Ecology Progress Series, 279, pp. 215-224. (doi: 10.3354/meps279215)

Dorfmann, A., Ogden, R.W., Saccomandi, G. (2004) Universal relations for non-linear magnetoelastic solids International Journal of Non-Linear Mechanics, 39, pp. 1699-1708. (doi: 10.1016/j.ijnonlinmec.2004.03.002)

2003

Brown, C. V., Mottram, N. J. (2003) Influence of flexoelectricity above the nematic Fréedericksz transition Physical Review E, 68, (doi: 10.1103/PhysRevE.68.031702)

Webster, R. E., Mottram, N. J., Cleaver, D. J. (2003) Molecular simulation of chevrons in confined smectic liquid crystals Physical Review E, 68, (doi: 10.1103/PhysRevE.68.021706)

Simitev, R. (2003) Inertial wave convection in rotating spherical fluid shells Defense Technical Information Center

Watson, S.J., Lewicka, M. (2003) Temporal asymptotics for the p’th power Newtonian fluid in one space dimension Zeitschrift für Angewandte Mathematik und Physik, 54, pp. 633-651. (doi: 10.1007/s00033-003-1149-1)

Watson, S.J., Otto, F., Rubinstein, B.Y., Davis, S.H. (2003) Coarsening dynamics of the convective Cahn-Hilliard equation Physica D: Nonlinear Phenomena, 178, pp. 127-148. (doi: 10.1016/S0167-2789(03)00048-4)

Kirkinis, E., Ogden, R.W. (2003) On helical shear of a compressible elastic circular cylindrical tube Quarterly Journal of Mechanics and Applied Mathematics, 56, pp. 105-122. (doi: 10.1093/qjmam/56.1.105)

Cai, Z.X., Luo, X.Y. (2003) A fluid-beam model for flow in collapsible channels Journal of Fluids and Structures, 17, pp. 125-146. (doi: 10.1016/S0889-9746(02)00112-3)

Merodio, J., Ogden, R.W. (2003) A note on strong ellipticity for transversely isotropic linearly elastic solids Quarterly Journal of Mechanics and Applied Mathematics, 56, pp. 589-591. (doi: 10.1093/qjmam/56.4.589)

Dorfmann, A., Ogden, R.W. (2003) A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber International Journal of Solids and Structures, 40, pp. 2699-2714. (doi: 10.1016/S0020-7683(03)00089-1)

(2003) Biomechanics of Soft Tissue in Cardiovascular Systems 441,

McKay, G., MacKenzie, K.R., Mottram, N.J. (2003) Competing polarization effects in a homeotropically aligned smectic liquid crystal (doi: 10.1080/00150190490509854)

Busse, F.H., Grote, E., Simitev, R. (2003) Convection in rotating spherical shells and its dynamo action Taylor & Francis

Luo, X.Y., Li, W.G., Li, J. (2003) Geometrical stress reducing factors in the anisotropic porcine heart valves Journal of Biomechanical Engineering, 125, pp. 735-744. (doi: 10.1115/1.1614821)

Merodio, J., Ogden, R.W. (2003) Instabilities and loss of ellipticity in fiber-reinforced compressible non-linearly elastic solids under plane deformation International Journal of Solids and Structures, 40, pp. 4707-4727. (doi: 10.1016/S0020-7683(03)00309-3)

Dorfmann, A., Ogden, R.W. (2003) Magnetoelastic modelling of elastomers European Journal of Mechanics - A/Solids, 22, pp. 497-507. (doi: 10.1016/S0997-7538(03)00067-6)

Ogden, R.W. (2003) Nonlinear Elasticity with Application to Material Modelling Polish Academy of Sciences

Ogden, R.W. (2003) Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue Springer-Verlag

Simitev, R., Busse, F.H. (2003) Parameter dependences of convection driven spherical dynamos Springer

Simitev, R., Busse, F.H. (2003) Patterns of convection in rotating spherical shells New Journal of Physics, 5, pp. 97. (doi: 10.1088/1367-2630/5/1/397)

2002

Ghorai, S., Hill, N.A. (2002) Axisymmetric bioconvection in a cylinder Journal of Theoretical Biology, 219, pp. 137-152. (doi: 10.1006/jtbi.2002.3077)

Hill, N.A., Bees, M.A. (2002) Taylor dispersion of gyrotactic swimming micro-organisms in a linear flow Physics of Fluids, 14, pp. 2598-2605. (doi: 10.1063/1.1458003)

Hu, Z., Luo, X.Y., Luo, K.H. (2002) Numerical simulation of particle dispersion in a spatially developing mixing layer Theoretical and Computational Fluid Dynamics, 15, pp. 403-420. (doi: 10.1007/s00162-002-0058-9)

Dunwoody, J., Ogden, R.W. (2002) On the thermodynamic stability of elastic heat-conducting solids subject to a deformation--temperature constraint Mathematics and Mechanics of Solids, 7, pp. 285-306. (doi: 10.1177/108128602027736)

Davidson, A. J., Mottram, N. J. (2002) Flexoelectric switching in a bistable nematic device Physical Review E, 65, (doi: 10.1103/PhysRevE.65.051710)

Grote, E., Busse, F.H., Simitev, R. (2002) Buoyancy driven convection in rotating spherical shells and its dynamo action Springer

Woods, P.D., Mottram, N.J., Stewart, I.W. (2002) Flow induced by director relaxation in smectic C* materials Ferroelectrics, 277, pp. 251-258. (doi: 10.1080/00150190214451)

Ramage, A., Mottram, N.J. (2002) In-layer defects in smectic C materials Ferroelectrics, 278, pp. 57-65. (doi: 10.1080/00150190214459)

Mottram, N.J., Hogan, S.J. (2002) Magnetic field-induced changes in molecular order in nematic liquid crystals Continuum Mechanics and Thermodynamics, 14, pp. 281-295. (doi: 10.1007/s00161-002-0097-x)

Merodio, J., Ogden, R.W. (2002) Material instabilities in fibre-reinforced nonlinearly elastic solids under plane deformation Archives of Mechanics, 54, pp. 525-552.

Kirkinis, E., Ogden, R.W. (2002) On extension and torsion of a compressible elastic circular cylinder Mathematics and Mechanics of Solids, 7, pp. 373-392. (doi: 10.1177/108128028476)

Ogden, R.W., Steigmann, D.J. (2002) Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation Journal of the Mechanics and Physics of Solids, 50, pp. 1869-1896. (doi: 10.1016/S0022-5096(02)00006-6)

Dorfmann, A., Fuller, K.N.G., Ogden, R.W. (2002) Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage International Journal of Solids and Structures, 39, pp. 1845-1861. (doi: 10.1016/S0020-7683(02)00008-2)

Kelly, G., Mottram, N., Ramage, A. (2002) The effect of elastic anisotropy on nematic disclination lines British Liquid Crystal Society Newsletter,

Gei, M., Ogden, R.W. (2002) Vibration of a surface-coated elastic block subject to bending Mathematics and Mechanics of Solids, 7, pp. 607-628. (doi: 10.1177/108128602029657)

2001

Li, J., Luo, X.Y., Kuang, Z.B. (2001) A nonlinear anisotropic model for porcine aortic heart valves Journal of Biomechanics, 34, pp. 1279-1289. (doi: 10.1016/S0021-9290(01)00092-6)

Ogden, R.W. (2001) Stress softening and residual strain in the azimuthal shear of pseudo-elastic circular cylindrical tube International Journal of Non-Linear Mechanics, 36, pp. 477-487. (doi: 10.1016/S0020-7462(00)00080-9)

Hussain, W., Ogden, R.W. (2001) The effect of pre-strain on the reflection and transmission of plane waves at an elastic interface International Journal of Engineering Science, 39, pp. 929-950. (doi: 10.1016/S0020-7225(00)00076-8)

Beldon, S.M., Mottram, N.J., Elston, S.J. (2001) A chevron model of the electroclinic effect across the Sa*-SC* phase transition in a SSFLC Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 365, pp. 729-738. (doi: 10.1080/10587250108025352)

Hill, N.A., Spendiff, M.K. (2001) A model for the interaction between intimal hyperplasia and blood flow American Society of Mechanical Engineers

Hill, N.A., Watton, P.N. (2001) Abdominal aortic aneurysms - a new mathematical model American Society of Mechanical Engineers

Ogden, R.W. (2001) Elements of the theory of finite elasticity Cambridge University Press

(2001) Nonlinear Elasticity: Theory and Applications (doi: 10.1017/CBO9780511526466)

Ogden, R.W. (2001) Pseudo-elasticity and stress softening Cambridge University Press

Beccherelli, R., Judge, L. A., Mottram, N. J., Elston, S. J. (2001) Surface evanescent field characterisation of antiferroelectric liquid crystals Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 358, pp. 263-274. (doi: 10.1080/10587250108028286)

Mottram, N. J., Elston, S. J. (2001) The influence of polar surface anchoring on switching in antiferroelectric liquid crystals Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 364, pp. 361-371. (doi: 10.1080/10587250108025005)

2000

Mottram, N. J., Elston, S. J. (2000) Theoretical investigation into the effects of polar anchoring in antiferroelectric liquid crystal cells Physical Review E, 62, pp. 6787-6794. (doi: 10.1103/PhysRevE.62.6787)

Mottram, N. J., Sluckin, T. J., Elston, S. J., Towler, M. J. (2000) Shear-induced melting of smectic-A liquid crystals Physical Review E, 62, pp. 5064-5080. (doi: 10.1103/PhysRevE.62.5064)

Roberts, A., Hill, N.A., Hicks, R. (2000) Simple mechanisms organise orientation of escape swimming in embryos and hatchling tadpoles of Xenopus laevis Journal of Experimental Biology, 203, pp. 1869-1885.

Mottram, N. J., Elston, S. J. (2000) Thresholdless and hysteretic switching in aflc cells with polar anchoring Ferroelectrics, 246, pp. 51-59. (doi: 10.1080/00150190008230052)

Watson, S. (2000) Unique global solvability for initial-boundary value problems in one-dimensional nonlinear thermoviscoelasticity Archive for Rational Mechanics and Analysis, 153, pp. 1-37. (doi: 10.1007/s002050050007)

Ghorai, S., Hill, N.A. (2000) Wavelengths of gyrotactic plumes in bioconvection Bulletin of Mathematical Biology, 62, pp. 429-450. (doi: 10.1006/bulm.1999.0160)

Hill, N.A., Plumpton, L.A. (2000) Control strategies for the polarotactic orientation of the microorganism Euglena gracilis Journal of Theoretical Biology, 203, pp. 357-365. (doi: 10.1006/jtbi.2000.1090)

Beccherelli, R., Mottram, N.J., Elston, S.J. (2000) Homogeneous and heterogeneous switching in antiferroelectric liquid crystals European Physical Journal: Applied Physics, 9, pp. 247-252. (doi: 10.1051/epjap:2000111)

Ghorai, S., Hill, N.A. (2000) Periodic arrays of gyrotactic plumes in bioconvection Physics of Fluids, 12, pp. 5-22. (doi: 10.1063/1.870249)

Holzapfel, G.A., Gasser, T.C., Ogden, R.W. (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models Journal of Elasticity, 61, pp. 1-48. (doi: 10.1023/A:1010835316564)

Mottram, N.J., Sluckin, T.J. (2000) Defect-induced melting in nematic liquid crystals Liquid Crystals, 27, pp. 1301-1304. (doi: 10.1080/026782900423340)

Mottram, N. J., Elston, S. J. (2000) Formation and stability of smectic C chevrons Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 351, pp. 323-333. (doi: 10.1080/10587250008023282)

Luo, X., Pedley, T.J. (2000) Multiple solutions and flow limitation in collapsible channel flows Journal of Fluid Mechanics, 420, pp. 301-324.

Elston, S. J., Mottram, N. (2000) Order parameter variation in smectic liquid crystals Wiley

Mottram, N.J., Sluckin, T.J., Elston, S.J., Towler, M.J. (2000) Periodic layer slipping in a sheared smectic a cell Molecular Crystals and Liquid Crystals, 347, pp. 179-188. (doi: 10.1080/10587250008024839)

1999

Ghorai, S., Hill, N.A. (1999) Development and stability of gyrotactic plumes in bioconvection Journal of Fluid Mechanics, 400, pp. 1-31. (doi: 10.1017/S0022112099006473)

Mottram, N.J., Elston, S.J. (1999) Preliminary communication: thresholdless switching induced by polar anchoring in antiferroelectric liquid crystals Liquid Crystals, 26, pp. 1853-1856. (doi: 10.1080/026782999203535)

Mottram, N.J., Elston, S.J. (1999) A bilayer model of the double hysteresis loop in antiferroelectric liquid crystals Liquid Crystals, 26, pp. 1625-1636. (doi: 10.1080/02678292.1999.11509446)

Mottram, N.J., Elston, S.J. (1999) Shearing of planar smectic C chevrons European Physical Journal B, 12, pp. 277-284. (doi: 10.1007/s100510051005)

Biktashev, V., Biktasheva, I., Holden, A., Tsyganov, M., Brindley, J., Hill, N.A. (1999) Spatiotemporal irregularity in an excitable medium with shear flow Physical Review E, 60, pp. 1897-1900. (doi: 10.1103/PhysRevE.60.1897)

Mottram, N. J., Beccherelli, R., Elston, S. J. (1999) The pre-transitional effect in antiferroelectric liquid crystals: a comparison between theory and experiment Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 328, pp. 65-73. (doi: 10.1080/10587259908026046)

Mottram, N.J., Ul Islam, N., Elston, S.J. (1999) Biaxial modeling of the structure of the chevron interface in smectic liquid crystals Physical Review E, 60, pp. 613-619. (doi: 10.1103/PhysRevE.60.613)

Ul Islam, N., Mottram, N.J., Elston, S.J. (1999) Stability of the formation of the chevron structure Liquid Crystals, 26, pp. 1059-1065. (doi: 10.1080/026782999204417)

Biktashev, V.N., Biktasheva, I.V., Holden, A.V., Tsyganov, M.A., Brindley, J., Hill, N.A. (1999) Effects of shear flows on nonlinear waves in excitable media Journal of Biological Physics, 25, pp. 101-113. (doi: 10.1023/A:1005160932148)

Mottram, N.J. (1999) Order parameter theory of the pre-transitional behaviour in antiferroelectric liquid crystals Liquid Crystals, 26, pp. 457-464. (doi: 10.1080/026782999205254)

Bees, M., Hill, N. (1999) Non-linear bioconvection in a deep suspension of gyrotactic swimming micro-organisms Journal of Mathematical Biology, 38, pp. 135-168.

Mottram, N. J., Elston, S. J. (1999) Order parameter theory for switching in antiferroelectric liquid crystals Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 330, pp. 557-564. (doi: 10.1080/10587259908025634)

1998

Biktashev, V., Holden, A., Tsyganov, M., Brindley, J., Hill, N.A. (1998) Excitation wave breaking in excitable media with linear shear flow Physical Review Letters, 81, pp. 2815-2818. (doi: 10.1103/PhysRevLett.81.2815)

Bees, M.A., Hill, N.A. (1998) Linear bioconvection in a suspension of randomly swimming, gyrotactic micro-organisms Physics of Fluids, 10, pp. 1864-1881. (doi: 10.1063/1.869704)

Luo, X., Pedley, T.J. (1998) The effects of wall inertia on flow in a two-dimensional collapsible channel Journal of Fluid Mechanics, 363, pp. 253-280. (doi: 10.1017/S0022112098001062)

Bees, M.A., Hill, N., Pedley, T.J. (1998) Analytical approximations for the orientation distribution of small dipolar particles in steady shear flows Journal of Mathematical Biology, 36, pp. 269-298. (doi: 10.1007/s002850050101)

Pedley, T.J., Luo, X.Y. (1998) Modelling flow and oscillations in collapsible tubes Theoretical and Computational Fluid Dynamics, 10, pp. 277-294. (doi: 10.1007/s001620050064)

Kessler, J.O., Hill, N.A., Strittmatter, R., Wiseley, D. (1998) Sedimenting particles and swimming microorganisms in a rotating fluid Advances in Space Research, 21, pp. 1269-1275. (doi: 10.1016/S0273-1177(97)00398-0)

1997

Mottram, N.J., Hogan, S.J. (1997) Disclination core structure and induced phase change in nematic liquid crystals Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 355, pp. 2045-2064. (doi: 10.1098/rsta.1997.0106)

Mottram, N.J., Hogan, S.J. (1997) Multiple solutions in twisted nematic liquid crystal layers Continuum Mechanics and Thermodynamics, 9, pp. 213-228. (doi: 10.1007/s001610050067)

Hill, N.A., Häder, D.-P. (1997) A biased random walk model for the trajectories of swimming micro-organisms Journal of Theoretical Biology, 186, pp. 503-526. (doi: 10.1006/jtbi.1997.0421)

Bees, M.A., Hill, N.A. (1997) Wavelengths of bioconvection patterns Journal of Experimental Biology, 200, pp. 1515-1526.

Hill, N.A. (1997) Bioconvection Prentice Hall

Kessler, J.O., Hill, N.A. (1997) Complementarity of physics, biology and geometry in the dynamics of swimming micro-organisms Springer

1996

Vincent, R.V., Hill, N.A. (1996) Bioconvection in a suspension of phototactic algae Journal of Fluid Mechanics, 327, pp. 343-371. (doi: 10.1017/S0022112096008579)

Luo, X., Pedley, T.J. (1996) A numerical simulation of unsteady flow in a two-dimensional collapsible channel Journal of Fluid Mechanics, 314, pp. 191-225. (doi: 10.1017/S0022112096000286)

1995

Luo, X.Y., Pedley, T.J. (1995) A numerical simulation of steady flow in a 2-D collapsible channel Journal of Fluids and Structures, 9, pp. 149-174. (doi: 10.1006/jfls.1995.1008)

Pedley, T.J., Luo, X.Y. (T.) (1995) Fluid Mechanics of Large Blood Vessels Shaanxi People's Press

1994

Kessler, J.O., Hoelzer, M.A., Pedley, T.J., Hill, N.A. (1994) Functional patterns of swimming bacteria Cambridge University Press

Kessler, J.O., Hill, N.A. (1994) Microbial consumption patterns Addison-Wesley

1993

Hill, N.A., Vincent, R.V. (1993) A simple model and strategies for orientation in phototactic microorganisms Journal of Theoretical Biology, 163, pp. 223-235. (doi: 10.1006/jtbi.1993.1118)

Hill, N.A. (1993) Trajectories of swimming micro-organisms and continuum models of bioconvection Plenum Press

1992

Kessler, J.O., Hill, N.A., Hader, D.-P. (1992) Orientation of swimming flagellates by simultaneously acting external factors Journal of Phycology, 28, pp. 816-822. (doi: 10.1111/j.0022-3646.1992.00816.x)

Luo, X.Y., Kuang, Z.B. (1992) Non-Newtonian flow patterns associated with an arterial stenosis Journal of Biomechanical Engineering, 114, pp. 512-514. (doi: 10.1115/1.2894103)

Luo, X.Y., Kuang, Z.B. (1992) A study on the constitutive equation of blood Journal of Biomechanics, 25, pp. 929-934. (doi: 10.1016/0021-9290(92)90233-Q)

Luo, X.Y., Kuang, Z.B. (1992) Finite element analysis of pulsatile flow patterns associated with an arterial stenosis Chinese Journal of Theoretical and Applied Mechanics, 24, pp. 320-328.

Davis, R.H., Hill, N.A. (1992) Hydrodynamic diffusion of a sphere sedimenting through a dilute suspension of neutrally buoyant spheres Journal of Fluid Mechanics, 236, pp. 513-533. (doi: 10.1017/S0022112092001514)

1991

Luo, X., Kuang, Z.-b. (1991) Finite element analysis of steady flow in stenotic arterial models Chinese Journal of Applied Mechanics, 8, pp. 19-26.

1990

Luo, X.Y., Kuang, Z.B. (1990) Velocity, pressure and shear stress distributions in a pulsatile stenotic flow South China University of Technology Press, pp. 336-339.

1989

Hill, N.A., Pedley, T.J., Kessler, J.O. (1989) Growth of bioconvection patterns in a suspension of gyrotactic micro-organisms in a layer of finite depth Journal of Fluid Mechanics, 208, pp. 509-543. (doi: 10.1017/S0022112089002922)

1988

Pedley, T.J., Hill, N.A., Kessler, J.O. (1988) The growth of bioconvection patterns in a uniform suspension of gyrotactic micro-organisms Journal of Fluid Mechanics, 195, pp. 223-237. (doi: 10.1017/S0022112088002393)

Hill, N.,A. (1988) Numerical studies of “side-by-side” and other modes for the Taylor problem in a finite annulus Computers and Fluids, 16, pp. 445-458. (doi: 10.1016/0045-7930(88)90027-8)

1987

Xu, Q.Y., Luo, X.Y. (1987) An improved algorithm for solving non­linear eigenvalue problem of dynamic substructures Jisuan Jiegou Lixue Jiqi Yingyong = Computational Structural Mechanics and Applications, 4, pp. 23-32.

1986

Xu, Q., Luo, X. (1986) A dynamic analysis and experimental research on a radar antenna Chinese Journal of Applied Mechanics, 3, pp. 33-34.

Postgraduate students

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Continuum Mechanics example research projects

Continuous production of solid metal foams (PhD)

Supervisors: Peter Stewart
Relevant research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics, Continuum Mechanics - Modelling and Analysis of Material Systems

Porous metallic solids, or solid metal foams, are exceedingly useful in many engineering applications, as they can be manufactured to be strong yet exceedingly lightweight. However, industrial processing methods for producing such foams are problematic and unreliable, and it is not currently possible to control the porosity distribution of the final product a priori.

This project will consider a new method of solid foam production, where bubbles of gas are introduced continuously into a molten metal flowing through a heat exchanger; foaming and solidification then occur almost simulatanously, allowing the foam structure to be controlled pointwise. The aim of this project is to construct a simple mathematical model for a gas bubble moving in a liquid filled channel ahead of a solidification front, to predict optimal conditions whereby the gas bubble is drawn toward the phase boundary, hence forming a porous solid.

This project will require some background in fluid mechanics and a combination of analytical and numerical techniques for solving partial differential equations.

Radial foam fracture (PhD)

Supervisors: Peter Stewart
Relevant research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics, Continuum Mechanics - Modelling and Analysis of Material Systems

Gas-liquid foams are a useful analgoue of crystalline atomic solids. 2D foam fracture has been used to study the mechanisms of fracture in metals. A two-dimenisonal network model (formed from a large system of differential equations) has recently been produced to study foam fracture in a rectangular channel which is pressurised along one edge. This model has helped to explain the origin of the velocity gap (a range of inadmissable steady fracture velocities), observed both in foam fracture experiments and in atomistic simulations of brittle fracture. This project will apply this network modelling approach to study radial foam fracture in a Hele-Shaw cell, to mimick recent experiments. This system has strong similarity to radial Saffmann-Taylor fingering, where fingering has been observed when a less viscous fluid displaces a more viscous fluid in a confined geometry. This project will involve studying systems of ordinary and partial differential equations using both numerical and analytical methods.

Numerical simulations of planetary and stellar dynamos (PhD)

Supervisors: Radostin Simitev
Relevant research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics

Using Fluid Dynamics and Magnetohydrodynamics to model the magnetic fields of the Earth, planets, the Sun and stars. Involves high-performance computing.

Mathematical models of vasculogenesis (PhD)

Supervisors: Peter Stewart
Relevant research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics, Continuum Mechanics - Modelling and Analysis of Material Systems, Mathematical Biology

Vasculogenesis is the process of forming new blood vessels from endothelial cells, which occurs during embryonic development. Viable blood vessels facilitate tissue perfusion, allowing the tissue to grow beyond the diffusion-limited size. However, in the absence of vasculogenesis, efforts to engineer functional tissues (eg for implantation) are restricted to this diffusion-limited size. This project will investigate mathematical models for vasculogenesis and explore mechanisms to stimulate blood vessel formation for in vitro tissues. The project will involve collaboration with Department of Biological Engineering at MIT, as part of the SofTMechMP project.

A coupled cardiovascular-respiration model for mechanical ventilation (PhD)

Supervisors: Peter Stewart, Nicholas A Hill
Relevant research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics, Mathematical Biology

Mechanical ventilation is a clinical treatment used to draw air into the lungs to facilitate breathing, used in treatment of premature babies with respiratory distress syndrome and in the treatment of severe Covid pneumonia. The aim is to oxygenate the blood while simultaneously removing unwanted by-products. However, over-inflation of the lungs can reduce the blood supply to the gas exchange surfaces, leading to a ventilation-perfusion mis-match. This PhD project will give you the opportunity to develop a mathematical model to describe the coupling between blood flow in the pulmonary circulation and air flow in the lungs (during both inspiration and expiration). You will devise a coupled computational framework, capable of testing patient-specific ventilation protocols. This is an ideal project for a postgraduate student with an interest in applying mathematical modelling and image analysis to predictive healthcare. The project will give you the opportunity to join a cross-disciplinary Research Hub that aims to push the boundaries of quantitative medicine and improve clinical decision making using innovative mathematical and statistical modelling.

Observationally-constrained 3D convective spherical models of the solar dynamo (Solar MHD) (PhD)

Supervisors: Radostin Simitev, David MacTaggart, Robert Teed
Relevant research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics

Solar magnetic fields are produced by a dynamo process in the Solar convection zone by turbulent motions acting against Ohmic dissipation. Solar magnetic activity affects nearEarth space environment and can harm modern technology and endanger human health. Further, Solar magnetism poses fundamental physical and mathematical problems, e.g. about the nature of plasma turbulence and the topology of magnetic field generation. Current models of the global Solar dynamo fall in two classes (a) mean-field dynamos (b) convection-driven dynamos. The mean-field models are only phenomenological as they replace turbulent interactions by ad-hoc source and quenching terms. On the other hand, spherical convection-driven dynamo models are derived from basic principles with minimal assumptions and potentially offer true predictive power; these can also be extended to other stars and giant planets. However, at present, convection driven dynamo models operate in a wrong dynamical regime and have limited success in reproducing a number of important 1 observations including (a) the sunspot cycle period, polarity reversals and the sunspot butterfly diagram, (b) the poleward migration of diffuse surface magnetic fields, (c) the polar field strength and phase relationships between poloidal/toroidal components. The aims of this project are to (a) develop a three-dimensional convection-driven Solar dynamo model constrained by assimilation of helioseismic data, and (b) start to use the model to estimate turbulent properties that determine the internal dynamics and activity cycles of the Sun.

Force balances in planetary cores and atmospheres (PhD)

Supervisors: Robert Teed, Radostin Simitev
Relevant research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics

Current dynamo simulations are run, not under the conditions of planetary cores and atmospheres, but in a regime idealised for computations. To forecast changes in planetary magnetic fields such as reversals and dynamo collapse, it is vital to understand the actual fluid dynamics of these regions.

The aim of this project is to produce simulations of planetary cores and atmospheres with realistic force balances and, in doing so, understand how such force balances arise and affect the dynamics of the flow. Force balances control many aspects of the fluid dynamics, and hence the dynamo process itself, including the size of flow structure, the buoyancy flux and zonal flows, so an understanding of the force balance available in various planetary cores and atmospheres is vital for understanding their dynamo processes. To achieve this the project will use a different technique to that typically used in dynamo simulations. The approach is to perform global simulations in a spherical shell with a magnetic field imposed by explicitly setting a component (or components) of the field at one of the boundaries. Within the interior the field is evaluated as normal using the induction equation. This set-up amounts to a model of magnetoconvection where the dynamics of the flow and magnetic field can be studied independently of the dynamo mechanism.

Magnetic helicity as the key to dynamo bistability (PhD)

Supervisors: David MacTaggart, Radostin Simitev
Relevant research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics

The planets in the solar system exhibit very different types of large-scale magnetic field.The Earth has a strongly dipolar field, whereas the fields of other solar system planets, such as Uranus and Neptune, are far more irregular. Although the different physical compositions of the planets of the solar system will influence the behaviour of the large-scale magnetic fields that they generate, the morphology of planetary magnetic fields can depend on properties of dynamos common to all planets. Here, we refer to an important and recent discovery from dynamo simulations. Remarkably, two very different types of chaotic dipolar dynamo solutions have been found to exist over identical values of the basic parameters of a generic model of convection-driven dynamos in rotating spherical shells. The two solutions mentioned above can be characterised as ‘mean dynamos’, MD, where a strong poloidal field dominates and ‘fluctuating dynamos’, FD, where the poloidal component is weaker and the large-scale field can be described as multipolar. Although these two states have been shown to be bistable (co-exist) for a wide range of identical parameters, it is not clear how a particular state, MD or FD, is chosen and how/when one state can change to the other. Some of the bifurcations of such states has been investigated, but a deep understanding of the dynamics that cause the bifurcations remains to be developed. Since the magnetic topology of MD and FD states are fundamentally different, an important part of this project will be to probe the nature of MD and FD states by studying magnetic helicity, a magnetohydrodynamic invariant that combines information on the topology of the magnetic field with the magnetic flux. The role of magnetic helicity and other helicities (e.g. cross helicity) is currently not well understood in relation to MD and FD states, but these quantities are conjectured to be very important in the development of MD and FD states.  

Bistability is also related to a very important phenomenon in dynamos - global field reversal. A strongly dipolar (MD) field can change to a transitional multipolar (FD) state before a reversal and then settle into another dipolar equilibrium (of opposite polarity) again after the reversal.This project aims to develop a coherent picture of how bistability operates in spherical dynamos. Since bistability is a fundamental property of dynamos, a characterisation of how bistable solutions form and develop is key for any deep understanding of planetary dynamos and, in particular, could be crucial for understanding magnetic field reversals.

Stellar atmospheres and their magnetic helicity fluxes (PhD)

Supervisors: Simon Candelaresi, Radostin Simitev, David MacTaggart, Robert Teed
Relevant research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics

Our Sun and many other stars have a strong large-scale magnetic field with a characteristic time variation. We know that this field is being generated via a dynamo mechanism driven by the turbulent convective motions inside the stars. The magnetic helicity, a quantifier of the field’s topology, is and essential ingredient in this process. In turbulent environments it is responsible for the inverse cascade that leads to the large-scale field, while the build up of its small-scale component can quench the dynamo.
In this project, the student will study the effects of magnetic helicity fluxes that happen below the stellar surface (photosphere), within the stellar atmosphere (chromosphere and corona) and between these two layers. This will be done using two-dimensional mean field simulations that allow parameter studies for different physical parameters. A fully three-dimensional model of a convective stellar wedge will then be used to provide a more detailed picture of the helicity fluxes and their effect on the dynamo. Using recent advancements that allow us to extract surface helicity fluxes from solar observations, the student will make use of observations to verify the simulation results. Other recent observational results on the stellar magnetic helicity will be used to benchmark the findings.