Dr Steven Roper

  • Lecturer (Mathematics)

Research interests

Research Interests

My research interests are in solid mechanics, fluid mechanics, and the mathematics of materials science and soft tissue damage. Of particular interest are the behaviour of fluid filled cracks, phase transformations and the growth of solids, the evolution of mushy layers, porous media flow, foams, non-equilibrium thermodynamics and the thermomechanics of phase boundaries (especially involving finite elasticity). I use mathematical and computational techniques to study these systems.

I am also interested in general in numerical methods for partial differential equations, optimal transportation theory, computational geometry (generalised voronoi diagrams and their applications). I am also interested in rational mechanics and thermodynamics and problems involving differential geometry.

Research Groups


Publications

List by: Type | Date

Jump to: 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2011 | 2010 | 2008 | 2007 | 2005
Number of items: 17.

2019

Li, B., Roper, S. M. , Wang, L., Luo, X. and Hill, N.A. (2019) An incremental deformation model of arterial dissection. Journal of Mathematical Biology, 78(5), pp. 1277-1298. (doi:10.1007/s00285-018-1309-8) (PMID:30456652) (PMCID:PMC6453878)

2018

Wang, L., Hill, N. A. , Roper, S. M. and Luo, X. (2018) Modelling peeling- and pressure-driven propagation of arterial dissection. Journal of Engineering Mathematics, 109(1), pp. 227-238. (doi:10.1007/s10665-017-9948-0)

2017

Wang, L., Roper, S. M. , Hill, N. A. and Luo, X. (2017) Propagation of dissection in a residually-stressed artery model. Biomechanics and Modeling in Mechanobiology, 16(1), pp. 139-149. (doi:10.1007/s10237-016-0806-1) (PMID:27395061)

2016

Hao, Y., Cai, Z., Roper, S. and Luo, X. (2016) An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel. International Journal of Applied Mechanics, 8(6), 1650073. (doi:10.1142/S1758825116500733)

2015

Bourne, D.P. and Roper, S.M. (2015) Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. SIAM: Journal on Numerical Analysis, 53(6), pp. 2545-2569. (doi:10.1137/141000993)

Wang, L., Roper, S. M. , Luo, X.Y. and Hill, N.A. (2015) Modelling of tear propagation and arrest in fibre-reinforced soft tissue subject to internal pressure. Journal of Engineering Mathematics, 95(1), pp. 249-265. (doi:10.1007/s10665-014-9757-7)

2014

Bourne, D.P., Peletier, M. A. and Roper, S.M. (2014) Hexagonal patterns in a simplified model for block copolymers. SIAM Journal on Applied Mathematics, 74(5), pp. 1315-1337. (doi:10.1137/130922732)

2013

Brown, R.W., Beucher, R., Roper, S. , Persano, C., Stuart, F. and 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)

Beucher, R., Brown, R. W., Roper, S. , Stuart, F. and 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)

2011

Roper, S.M. , Davis, S.H. and 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)

2010

Roper, S.M. , Anderson, A.M., Davis, S.H. and Voorhees, P.W. (2010) Radius selection and droplet unpinning in vapor-liquid-solid-grown nanowires. Journal of Applied Physics, 107(11), p. 114320. (doi:10.1063/1.3434403)

2008

Brush, L.B. and 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)

Roper, S.M. , Davis, S.H. and 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)

2007

Roper, S.M. , Davis, S.H., Norris, S.A., Golovin, A.A., Vorhees, P.W. and Weiss, M. (2007) Steady growth of nanowires via the vapor-liquid-solid method. Journal of Applied Physics, 102(3), 034304. (doi:10.1063/1.2761836)

Roper, S.M. , Davis, S.H. and Voorhees, P.W. (2007) Convection in a mushy zone forced by sidewall heat losses. Metallurgical and Materials Transactions A, 38(5), pp. 1069-1079. (doi:10.1007/s11661-007-9119-4)

Roper, S.M. and 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)

2005

Roper, S.M. and 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)

This list was generated on Tue Jul 23 10:02:31 2019 BST.
Jump to: Articles
Number of items: 17.

Articles

Li, B., Roper, S. M. , Wang, L., Luo, X. and Hill, N.A. (2019) An incremental deformation model of arterial dissection. Journal of Mathematical Biology, 78(5), pp. 1277-1298. (doi:10.1007/s00285-018-1309-8) (PMID:30456652) (PMCID:PMC6453878)

Wang, L., Hill, N. A. , Roper, S. M. and Luo, X. (2018) Modelling peeling- and pressure-driven propagation of arterial dissection. Journal of Engineering Mathematics, 109(1), pp. 227-238. (doi:10.1007/s10665-017-9948-0)

Wang, L., Roper, S. M. , Hill, N. A. and Luo, X. (2017) Propagation of dissection in a residually-stressed artery model. Biomechanics and Modeling in Mechanobiology, 16(1), pp. 139-149. (doi:10.1007/s10237-016-0806-1) (PMID:27395061)

Hao, Y., Cai, Z., Roper, S. and Luo, X. (2016) An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel. International Journal of Applied Mechanics, 8(6), 1650073. (doi:10.1142/S1758825116500733)

Bourne, D.P. and Roper, S.M. (2015) Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. SIAM: Journal on Numerical Analysis, 53(6), pp. 2545-2569. (doi:10.1137/141000993)

Wang, L., Roper, S. M. , Luo, X.Y. and Hill, N.A. (2015) Modelling of tear propagation and arrest in fibre-reinforced soft tissue subject to internal pressure. Journal of Engineering Mathematics, 95(1), pp. 249-265. (doi:10.1007/s10665-014-9757-7)

Bourne, D.P., Peletier, M. A. and Roper, S.M. (2014) Hexagonal patterns in a simplified model for block copolymers. SIAM Journal on Applied Mathematics, 74(5), pp. 1315-1337. (doi:10.1137/130922732)

Brown, R.W., Beucher, R., Roper, S. , Persano, C., Stuart, F. and 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)

Beucher, R., Brown, R. W., Roper, S. , Stuart, F. and 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)

Roper, S.M. , Davis, S.H. and 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)

Roper, S.M. , Anderson, A.M., Davis, S.H. and Voorhees, P.W. (2010) Radius selection and droplet unpinning in vapor-liquid-solid-grown nanowires. Journal of Applied Physics, 107(11), p. 114320. (doi:10.1063/1.3434403)

Brush, L.B. and 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)

Roper, S.M. , Davis, S.H. and 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)

Roper, S.M. , Davis, S.H., Norris, S.A., Golovin, A.A., Vorhees, P.W. and Weiss, M. (2007) Steady growth of nanowires via the vapor-liquid-solid method. Journal of Applied Physics, 102(3), 034304. (doi:10.1063/1.2761836)

Roper, S.M. , Davis, S.H. and Voorhees, P.W. (2007) Convection in a mushy zone forced by sidewall heat losses. Metallurgical and Materials Transactions A, 38(5), pp. 1069-1079. (doi:10.1007/s11661-007-9119-4)

Roper, S.M. and 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)

Roper, S.M. and 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)

This list was generated on Tue Jul 23 10:02:31 2019 BST.

Supervision

Current PhD students

Bushra Al-Ghabshi