Prof Raymond Ogden

  • George Sinclair Chair of Mathematics (Mathematics)

telephone: 01413304550
email: Raymond.Ogden@glasgow.ac.uk

R307 Level 3
Mathematics Building
Glasgow G12 8QW


Personal website

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Number of items: 118.

2014

Shams, M., and Ogden, R. (2014) On Rayleigh-type surface waves in an initially stressed incompressible elastic solid. IMA Journal of Applied Mathematics, 79 (2). pp. 360-376. ISSN 0272-4960 (doi:10.1093/imamat/hxs070)

Steigmann, D. J., and Ogden, R. W. (2014) Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity. Zeitschrift für Angewandte Mathematik und Mechanik, 94 (1-2). pp. 7-20. ISSN 0044-2267 (doi:10.1002/zamm.201200160)

2013

Destrade, M., and Ogden, R.W. (2013) On stress-dependent elastic moduli and wave speeds. IMA Journal of Applied Mathematics, 78 (5). pp. 965-997. ISSN 0272-4960 (doi:10.1093/imamat/hxs003)

Bustamante, Roger, and Ogden, Ray W. (2013) Nonlinear magnetoelastostatics: energy functionals and their second variation. Mathematics and Mechanics of Solids, 18 (7). pp. 760-772. ISSN 1081-2865 (doi:10.1177/1081286512448347)

Holzapfel, G.A., and Ogden, R.W. (2013) Elasticity of biopolymer filaments. Acta Biomaterialia, 9 (7). pp. 7320-7325. ISSN 1742-7061 (doi:10.1016/j.actbio.2013.03.001)

Li, W.G., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., Bird, N., and Luo, X.Y. (2013) Anisotropic behaviour of human gallbladder walls. Journal of the Mechanical Behavior of Biomedical Materials, 20 . pp. 363-375. ISSN 1751-6161 (doi:10.1016/j.jmbbm.2013.02.015)

Wang, H.M., Gao, H., Luo, X.Y., Berry, C., Griffith, B.E., Ogden, R.W., and 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 (1). pp. 83-103. ISSN 2040-7939 (doi:10.1002/cnm.2497)

Zhu, Y., Luo, X., Wang, H., Ogden, R., and 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. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2012.06.013)

Gower, A.L., Destrade, M., and Ogden, R.W. (2013) Counter-intuitive results in acousto-elasticity. Wave Motion . ISSN 0165-2125 (doi:10.1016/j.wavemoti.2013.03.007) (In Press)

Merodio, J., Ogden, R.W., and Rodriguez, J. (2013) The influence of residual stress on finite deformation elastic response. International Journal of Non-Linear Mechanics . ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2013.02.010) (In Press)

Vergori, L., Destrade, M., McGarry, P., and Ogden, R. (2013) On anisotropic elasticity and questions concerning its finite element implementation. Computational Mechanics, 52 (5). pp. 1185-1197. ISSN 0178-7675 (doi:10.1007/s00466-013-0871-6)

Wang, H.M., Luo, X.Y., Gao, H., Ogden, R.W., Griffith, B.E., Berry, C., and Wang, T.J. (2013) 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 (1). pp. 99-113. ISSN 1617-7959 (doi:10.1007/s10237-013-0488-x)

2012

Saxena, P., and Ogden, R.W. (2012) On Love-type waves in a finitely deformed magnetoelastic layered half-space. Zeitschrift für Angewandte Mathematik und Physik, 63 (6). pp. 1177-1200. ISSN 0044-2275 (doi:10.1007/s00033-012-0204-1)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., and Bird, N. (2012) A quasi-nonlinear analysis of the anisotropic behaviour of human gallbladder wall. Journal of Biomechanical Engineering, 134 (10). p. 101009. ISSN 0148-0731 (doi:10.1115/1.4007633)

Abiza, Z., Destrade, M., and Ogden, R. (2012) Large acoustoelastic effect. Wave Motion, 49 (2). pp. 364-374. ISSN 0165-2125 (doi:10.1016/j.wavemoti.2011.12.002)

Steigmann, D.J., and Ogden, R.W. (2012) A note on residual stress, lattice orientation and dislocation density in crystalline solids. Journal of Elasticity, 109 (2). pp. 275-283. ISSN 0374-3535 (doi:10.1007/s10659-012-9378-1)

2011

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Tian, T.H., Smythe, A., Majeed, A.W., and Bird, N. (2011) Cross-bridge apparent rate constants of human gallbladder smooth muscle. Journal of Muscle Research and Cell Motility, 32 (3). pp. 209-220. ISSN 0142-4319 (doi:10.1007/s10974-011-9260-y)

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2011) Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. International Journal of Solids and Structures, 48 (6). pp. 874-883. ISSN 0020-7683 (doi:10.1016/j.ijsolstr.2010.11.021)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A., and Bird, N. (2011) A mechanical model for CCK-induced acalculous gallbladder pain. Annals of Biomedical Engineering, 39 (2). pp. 786-800. ISSN 0090-6964 (doi:10.1007/s10439-010-0205-1)

Ogden, R.W. and Steigmann, D.J., (Eds.) (2011) Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials. Series: CISM Courses and Lectures Series. Springer, Wien, Austria, pp. 107-152. ISBN 9783709107003

Destrade, M., and Ogden, R.W. (2011) On magnetoacoustic waves in finitely deformed elastic solids. Mathematics and Mechanics of Solids, 16 (6). pp. 594-604. ISSN 1081-2865 (doi:10.1177/1081286510387695)

Holzapfel, G.A., and Ogden, R.W. (2011) On the bending and stretching elasticity of biopolymer filaments. Journal of Elasticity, 104 (1-2). pp. 319-342. ISSN 0374-3535 (doi:10.1007/s10659-010-9277-2)

Luo, X., Li, W., Hill, N., Ogden, R., and Smythe, A. (2011) Inverse estimation of fibre reinforced soft tissue of human gallbladder wall. In: Inverse Problems in Science and Engineering, 12-16 Dec 2011, Cambridge, UK.

Ogden, R.W. (2011) Magnetostatics: from basic principles to nonlinear interactions in deformable media. In: Ogden, R.W. and Steigmann, D.J. (eds.) Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials. Series: CISM Courses and Lectures Series (527). Springer, Wien, Austria, pp. 107-152. ISBN 9783709107003

Ogden, R.W., Saccomandi, G., and Sgura, I. (2011) Phenomenological modeling of DNA overstretching. Journal of Nonlinear Mathematical Physics, 18 (Sup. 2). pp. 411-427. ISSN 1402-9251 (doi:10.1142/S140292511100160X)

Ogden, R.W., and 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 (1-4). pp. 453-477. ISSN 1559-3959 (doi:10.2140/jomms.2011.6.453)

Saxena, P., and Ogden, R. (2011) On surfaces waves in a finitely deformed magnetoelastic half space. International Journal of Applied Mechanics, 3 (4). pp. 633-665. ISSN 1758-8251 (doi:10.1142/S1758825111001172)

Shams, M., Destrade, M., and Ogden, R.W. (2011) Initial stresses in elastic solids: constitutive laws and acoustoelasticity. Wave Motion, 48 (7). pp. 552-567. ISSN 0165-2125 (doi:10.1016/j.wavemoti.2011.04.004)

2010

Destrade, M., and Ogden, R.W. (2010) On the third- and fourth-order constants of incompressible isotropic elasticity. Journal of the Acoustical Society of America, 128 (6). pp. 3334-3343. ISSN 0001-4966 (doi:10.1121/1.3505102)

Destrade, M., Murphy, J.G., and 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 (11). pp. 1212-1224. ISSN 0020-7225 (doi:10.1016/j.ijengsci.2010.09.011)

Destrade, M., Gilchrist, M.D., and Ogden, R.W. (2010) Third- and fourth-order elasticities of biological soft tissues. Journal of the Acoustical Society of America, 127 (4). pp. 2103-2106. ISSN 0001-4966 (doi:10.1121/1.3337232)

Dorfmann, A., Merodio, J., and Ogden, R. W. (2010) Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material. Journal of Engineering Mathematics, 68 (1). pp. 27-36. ISSN 0022-0833 (doi:10.1007/s10665-009-9318-7)

Dorfmann, A., and Ogden, R.W. (2010) Electroelastic waves in a finitely deformed electroactive material. IMA Journal of Applied Mathematics, 75 (4). pp. 603-636. ISSN 0272-4960 (doi:10.1093/imamat/hxq022)

Dorfmann, A., and Ogden, R.W. (2010) Nonlinear electroelastostatics: Incremental equations and stability. International Journal of Engineering Science, 48 (1). pp. 1-14. ISSN 0020-7225 (doi:10.1016/j.ijengsci.2008.06.005)

Holzapfel, G. A., and 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 (46). pp. 787-799. ISSN 1742-5689 (doi:10.1098/rsif.2009.0357)

Holzapfel, G.A., and Ogden, R.W. (2010) Constitutive modelling of arteries. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 466 (2118). pp. 1551-1597. ISSN 1364-5021 (doi:10.1098/rspa.2010.0058)

Zhu, Y.F., Luo, X.Y., and Ogden, R.W. (2010) Nonlinear axisymmetric deformations of an elastic tube under external pressure. European Journal of Mechanics A: Solids, 29 (2). pp. 216-229. ISSN 0997-7538 (doi:10.1016/j.euromechsol.2009.10.004 )

2009

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2009) On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. International Journal of Engineering Science, 47 (11-12). pp. 1131-1141. ISSN 0020-7225 (doi:10.1016/j.ijengsci.2008.10.010)

Holzapfel, G.A., and Ogden, R.W. (2009) Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Royal Society of London Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 367 (1902). pp. 3445-3475. ISSN 1364-503X (doi:10.1098/rsta.2009.0091)

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 (5). pp. 570-580. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2008.11.017)

Destrade, M., Ogden, R.W., and Saccomandi, G. (2009) Small amplitude waves and stability for a pre-stressed viscoelastic solid. Zeitschrift für Angewandte Mathematik und Physik, 60 (3). pp. 511-528. ISSN 0044-2275 (doi:10.1007/s00033-008-7147-6)

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2009) Nonlinear electroelastostatics: a variational framework. Zeitschrift für Angewandte Mathematik und Physik, 60 (1). pp. 154-177. ISSN 0044-2275 (doi:http://dx.doi.org/10.1007/s00033-007-7145-0)

Holzapfel, G.A. and Ogden, R.W., (Eds.) (2009) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels. Series: CISM courses and lectures. Springer, Vienna, Austria. ISBN 9783211958735

Ciambella, J., Destrade, M., and Ogden, R.W. (2009) On the ABAQUS FEA model of finite viscoelasticity. Rubber Chemistry and Technology, 82 (24). pp. 184-193. ISSN 0035-9475

Holzapfel, G.A., and 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. ISSN 1081-2865 (doi:10.1177/1081286507084411)

Ogden, R.W. (2009) Anisotropy and nonlinear elasticity in arterial wall mechanics. In: Holzapfel, G.A. and Ogden, R.W. (eds.) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels. Series: CISM courses and lectures series (508). Springer, pp. 179-258. ISBN 9783211958735

2008

Gao, D.Y., and 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 (4). pp. 497-522. ISSN 0033-5614 (doi:10.1093/qjmam/hbn014)

Zhu, Y., Luo, X.Y., and 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 (11-12). pp. 3410-3429. ISSN 0020-7683 (doi:10.1016/j.ijsolstr.2008.02.005)

Gao, D.Y., and Ogden, R.W. (2008) Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem. Zeitschrift für Angewandte Mathematik und Physik, 59 (3). pp. 498-517. ISSN 0044-2275 (doi:10.1007/s00033-007-7047-1)

Ottenio, M., Destrade, M., and Ogden, R.W. (2008) Incremental magnetoelastic deformations, with application to surface instability. Journal of Elasticity, 90 (1). pp. 19-42. ISSN 0374-3535 (doi:10.1007/s10659-007-9120-6)

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2008) On boundary conditions in nonlinear magneto- and electroelasticity. In: Boukamel, A., Laiarinandrasana, L., Meo, S. and Verron, E. (eds.) Constitutive Models for Rubber V. Series: Balkema-proceedings and monographs in engineering, water, and earth sciences . Taylor & Francis, London, UK, pp. 339-344. ISBN 9780415454421

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2008) On variational formulations in nonlinear magnetoelastostatics. Mathematics and Mechanics of Solids, 13 (8). pp. 725-745. ISSN 1081-2865 (doi:10.1177/1081286507079832)

Kassianidis, F., Ogden, R.W., Merodio, J., and Pence, T.J. (2008) Azimuthal shear of a transversely isotropic elastic solid. Mathematics and Mechanics of Solids, 13 (8). pp. 690-724. ISSN 1081-2865 (doi:10.1177/1081286507079830)

2007

Dorfmann, A., Ogden, R.W., and Wineman, A.S. (2007) A three-dimensional non-linear constitutive law for magnetorheological fluids, with applications. International Journal of Non-Linear Mechanics, 42 (2). pp. 381-390. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2007.03.002)

Ogden, R.W., Saccomandi, G., and Sgura, I. (2007) Computational aspects of Worm-Like-Chain interpolation formulas. Computers and Mathematics with Applications, 53 (2). pp. 276-286. ISSN 0898-1221 (doi:10.1016/j.camwa.2006.02.024)

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2007) A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution. Journal of Engineering Mathematics, 59 (1). pp. 139-153. ISSN 0022-0833 (doi:10.1007/s10665-006-9088-4)

Holzapfel, G.A., Sommer, G., Auer, M., Regitnig, P., and 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. ISSN 0090-6964 (doi:10.1007/s10439-006-9252-z)

Kassianidid, F., and Ogden, R. (2007) On large bending deformations of transversely isotropic rectangular elastic blocks. Note di Matematica, 27 (2). pp. 131-154. ISSN 1123-2536 (doi:10.1285/i15900932v27n2p131)

Ogden, R.W. (2007) Incremental statics and dynamics of pre-stressed elastic materials. In: Destrade, M. and Saccomandi, G. (eds.) Waves in Nonlinear Pre-stressed Materials. Series: CISM courses and lectures (495). Springer, pp. 1-26. ISBN 9783211735718

Ogden, R.W., and Saccomandi, G. (2007) Introducing mesoscopic information into constitutive equations for arterial walls. Biomechanics and Modeling in Mechanobiology, 6 (5). pp. 333-344. ISSN 1617-7959 (doi:10.1007/s10237-006-0064-8)

Ottenio, M., Destrade, M., and 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 (2). pp. 310-320. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2006.10.001)

Steigmann, D. J., and Ogden, R. W. (2007) Surface waves supported by thin-film/substrate interactions. IMA Journal of Applied Mathematics, 72 (6). pp. 730-747. ISSN 0272-4960 (doi:10.1093/imamat/hxm018)

2006

Sgura, I., Saccomandi, G., and 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 (2067). pp. 749-768. ISSN 1364-5021 (doi:10.1098/rspa.2005.1592)

Holzapfel, G.A. and Ogden, R.W., (Eds.) (2006) Mechanics of Biological Tissue. Springer, Berlin, Germany. ISBN 9783540251941

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2006) Universal relations in isotropic nonlinear magnetoelasticity. Quarterly Journal of Mechanics and Applied Mathematics, 59 (3). pp. 435-450. ISSN 0033-5614 (doi:10.1093/qjmam/hbl010)

Bustamante, R., and Ogden, R.W. (2006) On nonlinear universal relations in nonlinear elasticity. Zeitschrift für Angewandte Mathematik und Physik, 57 (4). pp. 708-721. ISSN 0044-2275 (doi:10.1007/s00033-006-0068-3)

Bustamante, R., and Ogden, R.W. (2006) Universal relations for nonlinear electroelastic solids. Acta Mechanica, 182 (1-2). pp. 125-140. ISSN 0001-5970 (doi:10.1007/s00707-005-0290-7)

Domanski, W., and Ogden, R.W. (2006) On the null condition for nonlinearly elastic solids. Archives of Mechanics, 58 (4-5). pp. 339-361. ISSN 0373-2029

Dorfmann, A., and Ogden, R.W. (2006) Nonlinear electroelastic deformations. Journal of Elasticity, 82 (2). pp. 99-127. ISSN 0374-3535 (doi:10.1007/s10659-005-9028-y)

Gasser, T.C., Ogden, R.W, and Holzapfel, G.A. (2006) Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. Interface, 3 (6). pp. 15-35. ISSN 1742-5689 (doi:10.1098/rsif.2005.0073)

Guillou, A., and Ogden, R.W. (2006) Growth in soft biological tissue and residual stress development. In: Holzapfel, G.A. and Ogden, R.W. (eds.) Mechanics of Biological Tissue. Springer-Verlag, Berlin, pp. 47-62. ISBN 9783540311843

Merodio, J., and 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 (6). pp. 1096-1101. ISSN 0044-2275 (doi:10.1007/s00033-006-0078-1)

Merodio, J., and 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 (4). pp. 556-563. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2006.02.001)

2005

Dorfmann, A., and 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 (16-17). pp. 4909-4910. ISSN 0020-7683 (doi:10.1016/j.ijsolstr.2004.12.001)

Destrade, A., and Ogden, R.W. (2005) Surface waves in a stretched and sheared incompressible elastic material. International Journal of Non-Linear Mechanics, 40 . pp. 241-253. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2004.05.008)

Dorfmann, A., and Ogden, R.W. (2005) Nonlinear electroelasticity. Acta Mechanica, 174 (3-4). pp. 167-183. ISSN 0001-5970 (doi:10.1007/s00707-004-0202-2)

Dorfmann, A., and Ogden, R.W. (2005) Some problems in nonlinear magnetoelasticity. Zeitschrift für Angewandte Mathematik und Physik, 56 (4). pp. 718-745. ISSN 0044-2275 (doi:10.1007/s00033-004-4066-z)

Dorfmann, A., Ogden, R.W., and Saccomandi, G. (2005) The effect of rotation on the nonlinear magnetoelastic response of a circular cylindrical tube. International Journal of Solids and Structures, 42 (13). pp. 3700-3715. ISSN 0020-7683 (doi:10.1016/j.ijsolstr.2004.11.019)

Dunwoody, J., and Ogden, R.W. (2005) Heat conduction and controlled deformations in incompressible isotropic elasticity. Mathematics and Mechanics of Solids, 10 (5). pp. 487-502. ISSN 1081-2865 (doi:10.1177/1081286505036416)

Merodio, J., and Ogden, R.W. (2005) Mechanical response of fiber-reinforced incompressible non-linearly elastic solids. International Journal of Non-Linear Mechanics, 40 . pp. 213-227. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2004.05.003)

Merodio, J., and Ogden, R.W. (2005) On tensile instabilities and ellipticity loss in fiber-reinforced incompressible non-linearly elastic solids. Mechanics Research Communications, 32 (3). pp. 290-299. (doi:10.1016/j.mechrescom.2004.06.008)

Merodio, J., and 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. ISSN 0033-569X

Merodio, J., and Ogden, R.W. (2005) Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids. International Journal of Engineering Science, 43 (8-9). pp. 697-706. ISSN 0020-7225 (doi:10.1016/j.ijengsci.2005.01.001)

Ogden, R.W. (2005) Mechanics of rubberlike solids. In: Gutkowski, W. and Kowalewski, T.A. (eds.) Mechanics of the 21st Century: Proceedings of the 21st International Congress of Theoretical and Applied Mechanics, Warsaw, Poland, 15-21 August 2004. Springer, Dordrecht, pp. 263-274. ISBN 9781402034565

Vinh, P.C., and Ogden, R.W. (2005) On the Rayleigh wave speed in orthotropic elastic solids. Meccanica, 40 (2). pp. 147-161. ISSN 0025-6455 (doi:10.1007/s11012-005-1603-6)

2004

Horgan, C.O., Ogden, R.W., and 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 (2046). pp. 1737-1754. ISSN 1364-5021 (doi:10.1098/rspa.2003.1248)

Kirkinis, E., Ogden, R.W., and Haughton, D.M. (2004) Some solutions for a compressible isotropic elastic material. Zeitschrift für Angewandte Mathematik und Physik , 55 (1). pp. 136-158. ISSN 0044-2275 (doi:10.1007/s00033-003-3048-x)

Saccomandi, G. and Ogden, R.W., (Eds.) (2004) Mechanics and Thermomechanics of Rubberlike Solids. Series: CISM Courses and Lectures. Springer, Wien, Austria. ISBN 9783211212516

Dorfmann, A., and Ogden, R.W. (2004) Nonlinear magnetoelastic deformations. Quarterly Journal of Mechanics and Applied Mathematics, 57 (4). pp. 599-622. ISSN 0033-5614 (doi:10.1093/qjmam/57.4.599)

Dorfmann, A., and Ogden, R.W. (2004) Nonlinear magnetoelastic deformations of elastomers. Acta Mechanica, 167 (1-2). pp. 13-28. ISSN 0001-5970 (doi:10.1007/s00707-003-0061-2)

Dorfmann, A., and 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 (7). pp. 1855-1878. ISSN 0020-7683 (doi:10.1016/j.ijsolstr.2003.11.014)

Dorfmann, A., Ogden, R.W., and Saccomandi, G. (2004) Universal relations for non-linear magnetoelastic solids. International Journal of Non-Linear Mechanics, 39 (10). pp. 1699-1708. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2004.03.002)

Holzapfel, G.A., Gasser, T.C., and 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-Transactions of the Asme, 126 (2). pp. 264-275. ISSN 0148-0731 (doi:10.1115/1.1695572)

Ogden, R.W. (2004) Elasticity and inelasticity of rubber. In: Saccomandi, G and Ogden, R.W. (eds.) Mechanics and Thermomechanics of Rubberlike Solids. Series: CISM Courses and Lectures (452). Springer, Wien, Austria, pp. 135-185. ISBN 9783211212516

Ogden, R.W., Saccomandi, G., and Sgura, I. (2004) Fitting hyperelastic models to experimental data. Computational Mechanics, 34 (6). pp. 484-502. ISSN 0178-7675 (doi:10.1007/s00466-004-0593-y)

Ogden, R.W., and Vinh, P.C. (2004) On Rayleigh waves in incompressible orthotropic elastic solids. Journal of the Acoustical Society of America, 115 (2). pp. 530-533. (doi:10.1121/1.1636464)

Vinh, P.C., and Ogden, R.W. (2004) Formulas for the Rayleigh wave speed in orthotropic elastic solids. Archives of Mechanics, 56 . pp. 247-265. ISSN 0373-2029

Vinh, P.C., and 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)

2003

Kirkinis, E., and Ogden, R.W. (2003) On helical shear of a compressible elastic circular cylindrical tube. Quarterly Journal of Mechanics and Applied Mathematics, 56 (1). pp. 105-122. ISSN 0033-5614 (doi:10.1093/qjmam/56.1.105)

Holzapfel, G.A. and Ogden, R.W., (Eds.) (2003) Biomechanics of Soft Tissue in Cardiovascular Systems. Series: CISM Courses and Lectures. Springer, Wien, Austria. ISBN 9783211004555

Dorfmann, A., and Ogden, R.W. (2003) Magnetoelastic modelling of elastomers. European Journal of Mechanics A: Solids, 22 (4). pp. 497-507. ISSN 0997-7538 (doi:10.1016/S0997-7538(03)00067-6)

Dorfmann, A., and 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 (11). pp. 2699-2714. ISSN 0020-7683 (doi:10.1016/S0020-7683(03)00089-1)

Merodio, J., and 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. ISSN 0020-7683 (doi:10.1016/S0020-7683(03)00309-3)

Merodio, J., and Ogden, R.W. (2003) A note on strong ellipticity for transversely isotropic linearly elastic solids. Quarterly Journal of Mechanics and Applied Mathematics, 56 (4). pp. 589-591. ISSN 0033-5614 (doi:10.1093/qjmam/56.4.589)

Ogden, R.W. (2003) Nonlinear Elasticity with Application to Material Modelling. Series: AMAS Lecture Notes , 6 . Polish Academy of Sciences, Warsaw, Poland.

Ogden, R.W. (2003) Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue. In: Holzapfel, G. and Ogden, R.W. (eds.) Biomechanics of Soft Tissue in Cardiovascular Systems. Series: CISM Courses and Lectures (441). Springer-Verlag, Vienna, pp. 65-108. ISBN 9783211004555

2002

Dunwoody, J., and 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 (3). pp. 285-306. ISSN 1081-2865 (doi:10.1177/108128602027736)

Dorfmann, A., Fuller, K.N.G., and Ogden, R.W. (2002) Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage. International Journal of Solids and Structures, 39 (7). pp. 1845-1861. ISSN 0020-7683 (doi:10.1016/S0020-7683(02)00008-2)

Gei, M., and Ogden, R.W. (2002) Vibration of a surface-coated elastic block subject to bending. Mathematics and Mechanics of Solids, 7 (6). pp. 607-628. ISSN 1081-2865 (doi:10.1177/108128602029657)

Kirkinis, E., and Ogden, R.W. (2002) On extension and torsion of a compressible elastic circular cylinder. Mathematics and Mechanics of Solids, 7 (4). pp. 373-392. ISSN 1081-2865 (doi:10.1177/108128028476)

Merodio, J., and Ogden, R.W. (2002) Material instabilities in fibre-reinforced nonlinearly elastic solids under plane deformation. Archives of Mechanics, 54 (5-6). pp. 525-552. ISSN 0373-2029

Ogden, R.W., and 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. ISSN 0022-5096 (doi:10.1016/S0022-5096(02)00006-6)

2001

Hussain, W., and 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 (8). pp. 929-950. ISSN 0020-7225 (doi:10.1016/S0020-7225(00)00076-8)

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. ISSN 0020-7462 (doi:10.1016/S0020-7462(00)00080-9)

Fu, Y.B. and Ogden, R.W., (Eds.) (2001) Nonlinear Elasticity: Theory and Applications. Series: London Mathematical Society lecture note series. Cambridge University Press, Cambridge, UK. ISBN 9780521796958

Ogden, R.W. (2001) Elements of the theory of finite elasticity. In: Fu, YB and Ogden, R.W. (eds.) Nonlinear Elasticity: Theory and Applications. Series: London Mathematical Society lecture note series (283). Cambridge University Press, Cambridge, UK, pp. 1-57. ISBN 9780521796958

Ogden, R.W. (2001) Pseudo-elasticity and stress softening. In: Fu, Y.B. and Ogden, R.W. (eds.) Nonlinear Elasticity: Theory and Applications. Series: London Mathematical Society lecture note series (283). Cambridge University Press, Cambridge, UK, pp. 491-522. ISBN 9780521796958

2000

Holzapfel, G.A., Gasser, T.C., and Ogden, R.W. (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models. Journal of Elasticity, 61 (1-3). pp. 1-48. ISSN 0374-3535 (doi:10.1023/A:1010835316564)

This list was generated on Wed Apr 23 22:11:22 2014 BST.
Number of items: 118.

Article

Shams, M., and Ogden, R. (2014) On Rayleigh-type surface waves in an initially stressed incompressible elastic solid. IMA Journal of Applied Mathematics, 79 (2). pp. 360-376. ISSN 0272-4960 (doi:10.1093/imamat/hxs070)

Steigmann, D. J., and Ogden, R. W. (2014) Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity. Zeitschrift für Angewandte Mathematik und Mechanik, 94 (1-2). pp. 7-20. ISSN 0044-2267 (doi:10.1002/zamm.201200160)

Destrade, M., and Ogden, R.W. (2013) On stress-dependent elastic moduli and wave speeds. IMA Journal of Applied Mathematics, 78 (5). pp. 965-997. ISSN 0272-4960 (doi:10.1093/imamat/hxs003)

Bustamante, Roger, and Ogden, Ray W. (2013) Nonlinear magnetoelastostatics: energy functionals and their second variation. Mathematics and Mechanics of Solids, 18 (7). pp. 760-772. ISSN 1081-2865 (doi:10.1177/1081286512448347)

Holzapfel, G.A., and Ogden, R.W. (2013) Elasticity of biopolymer filaments. Acta Biomaterialia, 9 (7). pp. 7320-7325. ISSN 1742-7061 (doi:10.1016/j.actbio.2013.03.001)

Li, W.G., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., Bird, N., and Luo, X.Y. (2013) Anisotropic behaviour of human gallbladder walls. Journal of the Mechanical Behavior of Biomedical Materials, 20 . pp. 363-375. ISSN 1751-6161 (doi:10.1016/j.jmbbm.2013.02.015)

Wang, H.M., Gao, H., Luo, X.Y., Berry, C., Griffith, B.E., Ogden, R.W., and 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 (1). pp. 83-103. ISSN 2040-7939 (doi:10.1002/cnm.2497)

Zhu, Y., Luo, X., Wang, H., Ogden, R., and 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. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2012.06.013)

Gower, A.L., Destrade, M., and Ogden, R.W. (2013) Counter-intuitive results in acousto-elasticity. Wave Motion . ISSN 0165-2125 (doi:10.1016/j.wavemoti.2013.03.007) (In Press)

Merodio, J., Ogden, R.W., and Rodriguez, J. (2013) The influence of residual stress on finite deformation elastic response. International Journal of Non-Linear Mechanics . ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2013.02.010) (In Press)

Vergori, L., Destrade, M., McGarry, P., and Ogden, R. (2013) On anisotropic elasticity and questions concerning its finite element implementation. Computational Mechanics, 52 (5). pp. 1185-1197. ISSN 0178-7675 (doi:10.1007/s00466-013-0871-6)

Wang, H.M., Luo, X.Y., Gao, H., Ogden, R.W., Griffith, B.E., Berry, C., and Wang, T.J. (2013) 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 (1). pp. 99-113. ISSN 1617-7959 (doi:10.1007/s10237-013-0488-x)

Saxena, P., and Ogden, R.W. (2012) On Love-type waves in a finitely deformed magnetoelastic layered half-space. Zeitschrift für Angewandte Mathematik und Physik, 63 (6). pp. 1177-1200. ISSN 0044-2275 (doi:10.1007/s00033-012-0204-1)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., and Bird, N. (2012) A quasi-nonlinear analysis of the anisotropic behaviour of human gallbladder wall. Journal of Biomechanical Engineering, 134 (10). p. 101009. ISSN 0148-0731 (doi:10.1115/1.4007633)

Abiza, Z., Destrade, M., and Ogden, R. (2012) Large acoustoelastic effect. Wave Motion, 49 (2). pp. 364-374. ISSN 0165-2125 (doi:10.1016/j.wavemoti.2011.12.002)

Steigmann, D.J., and Ogden, R.W. (2012) A note on residual stress, lattice orientation and dislocation density in crystalline solids. Journal of Elasticity, 109 (2). pp. 275-283. ISSN 0374-3535 (doi:10.1007/s10659-012-9378-1)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Tian, T.H., Smythe, A., Majeed, A.W., and Bird, N. (2011) Cross-bridge apparent rate constants of human gallbladder smooth muscle. Journal of Muscle Research and Cell Motility, 32 (3). pp. 209-220. ISSN 0142-4319 (doi:10.1007/s10974-011-9260-y)

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2011) Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. International Journal of Solids and Structures, 48 (6). pp. 874-883. ISSN 0020-7683 (doi:10.1016/j.ijsolstr.2010.11.021)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A., and Bird, N. (2011) A mechanical model for CCK-induced acalculous gallbladder pain. Annals of Biomedical Engineering, 39 (2). pp. 786-800. ISSN 0090-6964 (doi:10.1007/s10439-010-0205-1)

Destrade, M., and Ogden, R.W. (2011) On magnetoacoustic waves in finitely deformed elastic solids. Mathematics and Mechanics of Solids, 16 (6). pp. 594-604. ISSN 1081-2865 (doi:10.1177/1081286510387695)

Holzapfel, G.A., and Ogden, R.W. (2011) On the bending and stretching elasticity of biopolymer filaments. Journal of Elasticity, 104 (1-2). pp. 319-342. ISSN 0374-3535 (doi:10.1007/s10659-010-9277-2)

Ogden, R.W., Saccomandi, G., and Sgura, I. (2011) Phenomenological modeling of DNA overstretching. Journal of Nonlinear Mathematical Physics, 18 (Sup. 2). pp. 411-427. ISSN 1402-9251 (doi:10.1142/S140292511100160X)

Ogden, R.W., and 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 (1-4). pp. 453-477. ISSN 1559-3959 (doi:10.2140/jomms.2011.6.453)

Saxena, P., and Ogden, R. (2011) On surfaces waves in a finitely deformed magnetoelastic half space. International Journal of Applied Mechanics, 3 (4). pp. 633-665. ISSN 1758-8251 (doi:10.1142/S1758825111001172)

Shams, M., Destrade, M., and Ogden, R.W. (2011) Initial stresses in elastic solids: constitutive laws and acoustoelasticity. Wave Motion, 48 (7). pp. 552-567. ISSN 0165-2125 (doi:10.1016/j.wavemoti.2011.04.004)

Destrade, M., and Ogden, R.W. (2010) On the third- and fourth-order constants of incompressible isotropic elasticity. Journal of the Acoustical Society of America, 128 (6). pp. 3334-3343. ISSN 0001-4966 (doi:10.1121/1.3505102)

Destrade, M., Murphy, J.G., and 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 (11). pp. 1212-1224. ISSN 0020-7225 (doi:10.1016/j.ijengsci.2010.09.011)

Destrade, M., Gilchrist, M.D., and Ogden, R.W. (2010) Third- and fourth-order elasticities of biological soft tissues. Journal of the Acoustical Society of America, 127 (4). pp. 2103-2106. ISSN 0001-4966 (doi:10.1121/1.3337232)

Dorfmann, A., Merodio, J., and Ogden, R. W. (2010) Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material. Journal of Engineering Mathematics, 68 (1). pp. 27-36. ISSN 0022-0833 (doi:10.1007/s10665-009-9318-7)

Dorfmann, A., and Ogden, R.W. (2010) Electroelastic waves in a finitely deformed electroactive material. IMA Journal of Applied Mathematics, 75 (4). pp. 603-636. ISSN 0272-4960 (doi:10.1093/imamat/hxq022)

Dorfmann, A., and Ogden, R.W. (2010) Nonlinear electroelastostatics: Incremental equations and stability. International Journal of Engineering Science, 48 (1). pp. 1-14. ISSN 0020-7225 (doi:10.1016/j.ijengsci.2008.06.005)

Holzapfel, G. A., and 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 (46). pp. 787-799. ISSN 1742-5689 (doi:10.1098/rsif.2009.0357)

Holzapfel, G.A., and Ogden, R.W. (2010) Constitutive modelling of arteries. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 466 (2118). pp. 1551-1597. ISSN 1364-5021 (doi:10.1098/rspa.2010.0058)

Zhu, Y.F., Luo, X.Y., and Ogden, R.W. (2010) Nonlinear axisymmetric deformations of an elastic tube under external pressure. European Journal of Mechanics A: Solids, 29 (2). pp. 216-229. ISSN 0997-7538 (doi:10.1016/j.euromechsol.2009.10.004 )

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2009) On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. International Journal of Engineering Science, 47 (11-12). pp. 1131-1141. ISSN 0020-7225 (doi:10.1016/j.ijengsci.2008.10.010)

Holzapfel, G.A., and Ogden, R.W. (2009) Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Royal Society of London Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 367 (1902). pp. 3445-3475. ISSN 1364-503X (doi:10.1098/rsta.2009.0091)

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 (5). pp. 570-580. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2008.11.017)

Destrade, M., Ogden, R.W., and Saccomandi, G. (2009) Small amplitude waves and stability for a pre-stressed viscoelastic solid. Zeitschrift für Angewandte Mathematik und Physik, 60 (3). pp. 511-528. ISSN 0044-2275 (doi:10.1007/s00033-008-7147-6)

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2009) Nonlinear electroelastostatics: a variational framework. Zeitschrift für Angewandte Mathematik und Physik, 60 (1). pp. 154-177. ISSN 0044-2275 (doi:http://dx.doi.org/10.1007/s00033-007-7145-0)

Ciambella, J., Destrade, M., and Ogden, R.W. (2009) On the ABAQUS FEA model of finite viscoelasticity. Rubber Chemistry and Technology, 82 (24). pp. 184-193. ISSN 0035-9475

Holzapfel, G.A., and 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. ISSN 1081-2865 (doi:10.1177/1081286507084411)

Gao, D.Y., and 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 (4). pp. 497-522. ISSN 0033-5614 (doi:10.1093/qjmam/hbn014)

Zhu, Y., Luo, X.Y., and 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 (11-12). pp. 3410-3429. ISSN 0020-7683 (doi:10.1016/j.ijsolstr.2008.02.005)

Gao, D.Y., and Ogden, R.W. (2008) Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem. Zeitschrift für Angewandte Mathematik und Physik, 59 (3). pp. 498-517. ISSN 0044-2275 (doi:10.1007/s00033-007-7047-1)

Ottenio, M., Destrade, M., and Ogden, R.W. (2008) Incremental magnetoelastic deformations, with application to surface instability. Journal of Elasticity, 90 (1). pp. 19-42. ISSN 0374-3535 (doi:10.1007/s10659-007-9120-6)

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2008) On variational formulations in nonlinear magnetoelastostatics. Mathematics and Mechanics of Solids, 13 (8). pp. 725-745. ISSN 1081-2865 (doi:10.1177/1081286507079832)

Kassianidis, F., Ogden, R.W., Merodio, J., and Pence, T.J. (2008) Azimuthal shear of a transversely isotropic elastic solid. Mathematics and Mechanics of Solids, 13 (8). pp. 690-724. ISSN 1081-2865 (doi:10.1177/1081286507079830)

Dorfmann, A., Ogden, R.W., and Wineman, A.S. (2007) A three-dimensional non-linear constitutive law for magnetorheological fluids, with applications. International Journal of Non-Linear Mechanics, 42 (2). pp. 381-390. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2007.03.002)

Ogden, R.W., Saccomandi, G., and Sgura, I. (2007) Computational aspects of Worm-Like-Chain interpolation formulas. Computers and Mathematics with Applications, 53 (2). pp. 276-286. ISSN 0898-1221 (doi:10.1016/j.camwa.2006.02.024)

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2007) A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution. Journal of Engineering Mathematics, 59 (1). pp. 139-153. ISSN 0022-0833 (doi:10.1007/s10665-006-9088-4)

Holzapfel, G.A., Sommer, G., Auer, M., Regitnig, P., and 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. ISSN 0090-6964 (doi:10.1007/s10439-006-9252-z)

Kassianidid, F., and Ogden, R. (2007) On large bending deformations of transversely isotropic rectangular elastic blocks. Note di Matematica, 27 (2). pp. 131-154. ISSN 1123-2536 (doi:10.1285/i15900932v27n2p131)

Ogden, R.W., and Saccomandi, G. (2007) Introducing mesoscopic information into constitutive equations for arterial walls. Biomechanics and Modeling in Mechanobiology, 6 (5). pp. 333-344. ISSN 1617-7959 (doi:10.1007/s10237-006-0064-8)

Ottenio, M., Destrade, M., and 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 (2). pp. 310-320. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2006.10.001)

Steigmann, D. J., and Ogden, R. W. (2007) Surface waves supported by thin-film/substrate interactions. IMA Journal of Applied Mathematics, 72 (6). pp. 730-747. ISSN 0272-4960 (doi:10.1093/imamat/hxm018)

Sgura, I., Saccomandi, G., and 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 (2067). pp. 749-768. ISSN 1364-5021 (doi:10.1098/rspa.2005.1592)

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2006) Universal relations in isotropic nonlinear magnetoelasticity. Quarterly Journal of Mechanics and Applied Mathematics, 59 (3). pp. 435-450. ISSN 0033-5614 (doi:10.1093/qjmam/hbl010)

Bustamante, R., and Ogden, R.W. (2006) On nonlinear universal relations in nonlinear elasticity. Zeitschrift für Angewandte Mathematik und Physik, 57 (4). pp. 708-721. ISSN 0044-2275 (doi:10.1007/s00033-006-0068-3)

Bustamante, R., and Ogden, R.W. (2006) Universal relations for nonlinear electroelastic solids. Acta Mechanica, 182 (1-2). pp. 125-140. ISSN 0001-5970 (doi:10.1007/s00707-005-0290-7)

Domanski, W., and Ogden, R.W. (2006) On the null condition for nonlinearly elastic solids. Archives of Mechanics, 58 (4-5). pp. 339-361. ISSN 0373-2029

Dorfmann, A., and Ogden, R.W. (2006) Nonlinear electroelastic deformations. Journal of Elasticity, 82 (2). pp. 99-127. ISSN 0374-3535 (doi:10.1007/s10659-005-9028-y)

Gasser, T.C., Ogden, R.W, and Holzapfel, G.A. (2006) Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. Interface, 3 (6). pp. 15-35. ISSN 1742-5689 (doi:10.1098/rsif.2005.0073)

Merodio, J., and 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 (6). pp. 1096-1101. ISSN 0044-2275 (doi:10.1007/s00033-006-0078-1)

Merodio, J., and 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 (4). pp. 556-563. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2006.02.001)

Dorfmann, A., and 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 (16-17). pp. 4909-4910. ISSN 0020-7683 (doi:10.1016/j.ijsolstr.2004.12.001)

Destrade, A., and Ogden, R.W. (2005) Surface waves in a stretched and sheared incompressible elastic material. International Journal of Non-Linear Mechanics, 40 . pp. 241-253. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2004.05.008)

Dorfmann, A., and Ogden, R.W. (2005) Nonlinear electroelasticity. Acta Mechanica, 174 (3-4). pp. 167-183. ISSN 0001-5970 (doi:10.1007/s00707-004-0202-2)

Dorfmann, A., and Ogden, R.W. (2005) Some problems in nonlinear magnetoelasticity. Zeitschrift für Angewandte Mathematik und Physik, 56 (4). pp. 718-745. ISSN 0044-2275 (doi:10.1007/s00033-004-4066-z)

Dorfmann, A., Ogden, R.W., and Saccomandi, G. (2005) The effect of rotation on the nonlinear magnetoelastic response of a circular cylindrical tube. International Journal of Solids and Structures, 42 (13). pp. 3700-3715. ISSN 0020-7683 (doi:10.1016/j.ijsolstr.2004.11.019)

Dunwoody, J., and Ogden, R.W. (2005) Heat conduction and controlled deformations in incompressible isotropic elasticity. Mathematics and Mechanics of Solids, 10 (5). pp. 487-502. ISSN 1081-2865 (doi:10.1177/1081286505036416)

Merodio, J., and Ogden, R.W. (2005) Mechanical response of fiber-reinforced incompressible non-linearly elastic solids. International Journal of Non-Linear Mechanics, 40 . pp. 213-227. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2004.05.003)

Merodio, J., and Ogden, R.W. (2005) On tensile instabilities and ellipticity loss in fiber-reinforced incompressible non-linearly elastic solids. Mechanics Research Communications, 32 (3). pp. 290-299. (doi:10.1016/j.mechrescom.2004.06.008)

Merodio, J., and 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. ISSN 0033-569X

Merodio, J., and Ogden, R.W. (2005) Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids. International Journal of Engineering Science, 43 (8-9). pp. 697-706. ISSN 0020-7225 (doi:10.1016/j.ijengsci.2005.01.001)

Vinh, P.C., and Ogden, R.W. (2005) On the Rayleigh wave speed in orthotropic elastic solids. Meccanica, 40 (2). pp. 147-161. ISSN 0025-6455 (doi:10.1007/s11012-005-1603-6)

Horgan, C.O., Ogden, R.W., and 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 (2046). pp. 1737-1754. ISSN 1364-5021 (doi:10.1098/rspa.2003.1248)

Kirkinis, E., Ogden, R.W., and Haughton, D.M. (2004) Some solutions for a compressible isotropic elastic material. Zeitschrift für Angewandte Mathematik und Physik , 55 (1). pp. 136-158. ISSN 0044-2275 (doi:10.1007/s00033-003-3048-x)

Dorfmann, A., and Ogden, R.W. (2004) Nonlinear magnetoelastic deformations. Quarterly Journal of Mechanics and Applied Mathematics, 57 (4). pp. 599-622. ISSN 0033-5614 (doi:10.1093/qjmam/57.4.599)

Dorfmann, A., and Ogden, R.W. (2004) Nonlinear magnetoelastic deformations of elastomers. Acta Mechanica, 167 (1-2). pp. 13-28. ISSN 0001-5970 (doi:10.1007/s00707-003-0061-2)

Dorfmann, A., and 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 (7). pp. 1855-1878. ISSN 0020-7683 (doi:10.1016/j.ijsolstr.2003.11.014)

Dorfmann, A., Ogden, R.W., and Saccomandi, G. (2004) Universal relations for non-linear magnetoelastic solids. International Journal of Non-Linear Mechanics, 39 (10). pp. 1699-1708. ISSN 0020-7462 (doi:10.1016/j.ijnonlinmec.2004.03.002)

Holzapfel, G.A., Gasser, T.C., and 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-Transactions of the Asme, 126 (2). pp. 264-275. ISSN 0148-0731 (doi:10.1115/1.1695572)

Ogden, R.W., Saccomandi, G., and Sgura, I. (2004) Fitting hyperelastic models to experimental data. Computational Mechanics, 34 (6). pp. 484-502. ISSN 0178-7675 (doi:10.1007/s00466-004-0593-y)

Ogden, R.W., and Vinh, P.C. (2004) On Rayleigh waves in incompressible orthotropic elastic solids. Journal of the Acoustical Society of America, 115 (2). pp. 530-533. (doi:10.1121/1.1636464)

Vinh, P.C., and Ogden, R.W. (2004) Formulas for the Rayleigh wave speed in orthotropic elastic solids. Archives of Mechanics, 56 . pp. 247-265. ISSN 0373-2029

Vinh, P.C., and 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)

Kirkinis, E., and Ogden, R.W. (2003) On helical shear of a compressible elastic circular cylindrical tube. Quarterly Journal of Mechanics and Applied Mathematics, 56 (1). pp. 105-122. ISSN 0033-5614 (doi:10.1093/qjmam/56.1.105)

Dorfmann, A., and Ogden, R.W. (2003) Magnetoelastic modelling of elastomers. European Journal of Mechanics A: Solids, 22 (4). pp. 497-507. ISSN 0997-7538 (doi:10.1016/S0997-7538(03)00067-6)

Dorfmann, A., and 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 (11). pp. 2699-2714. ISSN 0020-7683 (doi:10.1016/S0020-7683(03)00089-1)

Merodio, J., and 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. ISSN 0020-7683 (doi:10.1016/S0020-7683(03)00309-3)

Merodio, J., and Ogden, R.W. (2003) A note on strong ellipticity for transversely isotropic linearly elastic solids. Quarterly Journal of Mechanics and Applied Mathematics, 56 (4). pp. 589-591. ISSN 0033-5614 (doi:10.1093/qjmam/56.4.589)

Dunwoody, J., and 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 (3). pp. 285-306. ISSN 1081-2865 (doi:10.1177/108128602027736)

Dorfmann, A., Fuller, K.N.G., and Ogden, R.W. (2002) Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage. International Journal of Solids and Structures, 39 (7). pp. 1845-1861. ISSN 0020-7683 (doi:10.1016/S0020-7683(02)00008-2)

Gei, M., and Ogden, R.W. (2002) Vibration of a surface-coated elastic block subject to bending. Mathematics and Mechanics of Solids, 7 (6). pp. 607-628. ISSN 1081-2865 (doi:10.1177/108128602029657)

Kirkinis, E., and Ogden, R.W. (2002) On extension and torsion of a compressible elastic circular cylinder. Mathematics and Mechanics of Solids, 7 (4). pp. 373-392. ISSN 1081-2865 (doi:10.1177/108128028476)

Merodio, J., and Ogden, R.W. (2002) Material instabilities in fibre-reinforced nonlinearly elastic solids under plane deformation. Archives of Mechanics, 54 (5-6). pp. 525-552. ISSN 0373-2029

Ogden, R.W., and 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. ISSN 0022-5096 (doi:10.1016/S0022-5096(02)00006-6)

Hussain, W., and 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 (8). pp. 929-950. ISSN 0020-7225 (doi:10.1016/S0020-7225(00)00076-8)

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. ISSN 0020-7462 (doi:10.1016/S0020-7462(00)00080-9)

Holzapfel, G.A., Gasser, T.C., and Ogden, R.W. (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models. Journal of Elasticity, 61 (1-3). pp. 1-48. ISSN 0374-3535 (doi:10.1023/A:1010835316564)

Book

Ogden, R.W. (2003) Nonlinear Elasticity with Application to Material Modelling. Series: AMAS Lecture Notes , 6 . Polish Academy of Sciences, Warsaw, Poland.

Book Section

Ogden, R.W. (2011) Magnetostatics: from basic principles to nonlinear interactions in deformable media. In: Ogden, R.W. and Steigmann, D.J. (eds.) Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials. Series: CISM Courses and Lectures Series (527). Springer, Wien, Austria, pp. 107-152. ISBN 9783709107003

Ogden, R.W. (2009) Anisotropy and nonlinear elasticity in arterial wall mechanics. In: Holzapfel, G.A. and Ogden, R.W. (eds.) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels. Series: CISM courses and lectures series (508). Springer, pp. 179-258. ISBN 9783211958735

Bustamante, R., Dorfmann, A., and Ogden, R.W. (2008) On boundary conditions in nonlinear magneto- and electroelasticity. In: Boukamel, A., Laiarinandrasana, L., Meo, S. and Verron, E. (eds.) Constitutive Models for Rubber V. Series: Balkema-proceedings and monographs in engineering, water, and earth sciences . Taylor & Francis, London, UK, pp. 339-344. ISBN 9780415454421

Ogden, R.W. (2007) Incremental statics and dynamics of pre-stressed elastic materials. In: Destrade, M. and Saccomandi, G. (eds.) Waves in Nonlinear Pre-stressed Materials. Series: CISM courses and lectures (495). Springer, pp. 1-26. ISBN 9783211735718

Guillou, A., and Ogden, R.W. (2006) Growth in soft biological tissue and residual stress development. In: Holzapfel, G.A. and Ogden, R.W. (eds.) Mechanics of Biological Tissue. Springer-Verlag, Berlin, pp. 47-62. ISBN 9783540311843

Ogden, R.W. (2005) Mechanics of rubberlike solids. In: Gutkowski, W. and Kowalewski, T.A. (eds.) Mechanics of the 21st Century: Proceedings of the 21st International Congress of Theoretical and Applied Mechanics, Warsaw, Poland, 15-21 August 2004. Springer, Dordrecht, pp. 263-274. ISBN 9781402034565

Ogden, R.W. (2004) Elasticity and inelasticity of rubber. In: Saccomandi, G and Ogden, R.W. (eds.) Mechanics and Thermomechanics of Rubberlike Solids. Series: CISM Courses and Lectures (452). Springer, Wien, Austria, pp. 135-185. ISBN 9783211212516

Ogden, R.W. (2003) Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue. In: Holzapfel, G. and Ogden, R.W. (eds.) Biomechanics of Soft Tissue in Cardiovascular Systems. Series: CISM Courses and Lectures (441). Springer-Verlag, Vienna, pp. 65-108. ISBN 9783211004555

Ogden, R.W. (2001) Elements of the theory of finite elasticity. In: Fu, YB and Ogden, R.W. (eds.) Nonlinear Elasticity: Theory and Applications. Series: London Mathematical Society lecture note series (283). Cambridge University Press, Cambridge, UK, pp. 1-57. ISBN 9780521796958

Ogden, R.W. (2001) Pseudo-elasticity and stress softening. In: Fu, Y.B. and Ogden, R.W. (eds.) Nonlinear Elasticity: Theory and Applications. Series: London Mathematical Society lecture note series (283). Cambridge University Press, Cambridge, UK, pp. 491-522. ISBN 9780521796958

Edited Book

Ogden, R.W. and Steigmann, D.J., (Eds.) (2011) Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials. Series: CISM Courses and Lectures Series. Springer, Wien, Austria, pp. 107-152. ISBN 9783709107003

Holzapfel, G.A. and Ogden, R.W., (Eds.) (2009) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels. Series: CISM courses and lectures. Springer, Vienna, Austria. ISBN 9783211958735

Holzapfel, G.A. and Ogden, R.W., (Eds.) (2006) Mechanics of Biological Tissue. Springer, Berlin, Germany. ISBN 9783540251941

Saccomandi, G. and Ogden, R.W., (Eds.) (2004) Mechanics and Thermomechanics of Rubberlike Solids. Series: CISM Courses and Lectures. Springer, Wien, Austria. ISBN 9783211212516

Holzapfel, G.A. and Ogden, R.W., (Eds.) (2003) Biomechanics of Soft Tissue in Cardiovascular Systems. Series: CISM Courses and Lectures. Springer, Wien, Austria. ISBN 9783211004555

Fu, Y.B. and Ogden, R.W., (Eds.) (2001) Nonlinear Elasticity: Theory and Applications. Series: London Mathematical Society lecture note series. Cambridge University Press, Cambridge, UK. ISBN 9780521796958

Conference Proceedings

Luo, X., Li, W., Hill, N., Ogden, R., and Smythe, A. (2011) Inverse estimation of fibre reinforced soft tissue of human gallbladder wall. In: Inverse Problems in Science and Engineering, 12-16 Dec 2011, Cambridge, UK.

This list was generated on Wed Apr 23 22:11:22 2014 BST.

Current PhD students

Mustapha El Hamdaoui (Mechanics of Fibre-Reinforced Materials )
Andrey Melnikov (Thermoelasticity of Fibre-Reinforced Materials )