Selected Publications

• Thermoelasticity and generalized thermoelasticity viewed as wave hierarchies. IMA Journal of Applied Mathematics, 72 (2007), preprint. DOI
• Wave stability for nearly-constrained materials in anisotropic generalized thermoelasticity. (with D.J. Leslie) Note di Matematica. To appear preprint. DOI
• The incremental bulk modulus, Young's modulus and Poisson's ratio in nonlinear isotropic elasticity: physically reasonable response. Mathematics and Mechanics of Solids, 12 (2007), ???-??? DOI
• Thermoelastic waves in a constrained isotropic plate: Incompressibility at uniform entropy. (with V. V. Salnikov) Mathematics and Mechanics of Solids, 12 (2007), ???-??? DOI
• Thermoelastic waves in a constrained isotropic plate: Incompressibility at uniform temperature, (with V. V. Salnikov) Quart. J. Mech. Appl. Math. 59 (2006), 359-375. DOI
• Asymptotic and numerical analysis of thermoelastic waves in an isotropic plate. (with V. V. Salnikov) IMA Journal of Applied Mathematics, 71 (2006), 409-433. DOI
• Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint. (with M. Destrade). Wave Motion, 40 (2004), 347-357. DOI
• Wave stability for constrained materials in anisotropic generalized thermoelasticity. (with D.J. Leslie). Mathematics and Mechanics of Solids, 9 (2004), 513-542. DOI
• Thermoelasticity with thermomechanical constraints. Int. J. Non-Linear Mech., 58 (2001), 549-564. preprint. DOI
• An area modulus of elasticity: definition and properties. J. Elasticity, 58 (2000), 269-275. DOI
• Wave stability for near-incompressibility at uniform temperature or entropy in generalised isotropic thermoelasticity. (with D.J. Leslie). Mathematics and Mechanics of Solids, 5 (2000), 157-202. DOI
• Wave stability for incompressibility at uniform temperature or entropy in generalised isotropic thermoelasticity. (with D.J. Leslie). Quart. J. Mech. Appl. Math. 53 (2000), 1-25. DOI
• On singular features of acoustic wave propagation in weakly dissipative anisotropic thermoviscoelasticity. (with A.L. Shuvalov). Acta Mechanica, 140 (2000), 1-15. DOI
  
  
• Near-incompressibility at uniform temperature or entropy in isotropic thermoelasticity. (with D.J. Leslie). Mathematics and Mechanics of Solids, 3 (1998), 243-275.
• The effects of weak hyperbolicity on the diffusion of heat. (with A.C. King and D.J. Needham). Proc. R. Soc. Lond. A 454 (1998), 1659-1679.
• Incompressibility at uniform temperature or entropy in isotropic thermoelasticity. (with D.J. Leslie). Quart. J. Mech. Appl. Math., 51 (1998), 191-211.
• Constant-amplitude acceleration waves in incompressible elastic materials. (with M. Hayes). Mathematics and Mechanics of Solids, 2 (1997), 291-296.
• Energy flux and dissipation of inhomogeneous plane wave forms in Kelvin-Voigt viscoelasticity. Int. J. Engng Sci., 35 (1997), 561-572.
• Connections between deformation-temperature and deformation-entropy constraints and near-constraints in thermoelasticity. Int. J. Engng Sci., 34 (1996), 1689-1704.
• Energy and dissipation of inhomogeneous plane waves in thermoelasticity. Wave Motion, 23 (1996), 393-406.
• Inhomogeneous plane waves in compressible viscous fluids. Wave Motion, 22 (1995), 335-347.
• Doubly constrained elastic wave propagation. (with G.A. Rogerson). Int. J. Solids Structures, 31 (1994), 2769-2792.
• The maximum shear stress. J. Elasticity, 35 (1994), 271-273.
• Propagation of simple waves and shock waves in a rod of slowly varying cross-sectional area. (with Y. B. Fu). Int. J. Engng Sci., 32 (1994), 35-44.
• Singly constrained elastic wave propagation and the limit of two constraints. (with G.A. Rogerson). Wave Motion, 18 (1993), 291-302.
• A new canonical form for complex symmetric matrices. Proc. R. Soc. Lond. A 441 (1993), 625-640.
• A theorem on isotropic null vectors and its application to thermoelasticity. Proc. R. Soc. Lond. A 440 (1993), 431-442.
• Linear dynamical stability in constrained thermoelasticity II. Deformation-entropy constraints. Quart. J. Mech. Appl. Math., 45 (1992), 651-662.
• Linear dynamical stability in constrained thermoelasticity I. Deformation-temperature constraints. (with P. Chadwick). Quart. J. Mech. Appl. Math., 45 (1992), 641-650.
• Plane waves in twinned crystals modelled as multi-constrained and nearly constrained elastic materials. J. Mech. Phys. Solids, 40 (1992), 1607-1619.
• Aspects of energy propagation in highly anisotropic elastic solids. (with G.A. Rogerson). Acta Mechanica, 92 (1992), 129-141.
• Wave propagation in singly constrained and nearly constrained elastic materials. (with G.A. Rogerson). Quart. J. Mech. Appl. Math., 45 (1992), 77-99.
• Waves in a homogeneously prestrained incompressible, almost inextensible, fibre-reinforced elastic material. Proc. R. Irish Acad., 92 A (1992), 9-36.
• Wave propagation in exceptional directions in multi-constrained elastic solids. (with G.A. Rogerson). Int. J. Engng Sci., 29 (1991), 1337-1348.
• Small vibrations of prestrained constrained elastic materials: the idealised fibre-reinforced material. Int. J. Solids Structures, 27 (1991), 1969-1980.
• The transition from acceleration wave to shock wave. (with Y. B. Fu). Int. J. Engng Sci., 29 (1991), 617-624.
• Transverse cylindrical simple waves and shock waves in elastic non-conductors. (with Y. B. Fu). Int. J. Solids Structures, 27 (1991), 547-563.
• One-dimensional shock waves in simple materials with memory. (with Y. B. Fu). Proc. R. Soc. Lond. A 428 (1990), 547-571.
• Acceleration waves and shock waves in transversely isotropic elastic non-conductors. (with Y. B. Fu). Int. J. Engng Sci., 27 (1989), 1379-1396.
• A theorem in thermoelasticity and its application to linear stability. Proc. R. Soc. Lond. A 424 (1989), 143-153.
• The evolution laws of dilatational spherical and cylindrical weak nonlinear shock waves in elastic non-conductors. (with Y.B. Fu). Arch. Ration. Mech. Analysis, 108 (1989), 11-34.
• The evolutionary behaviour of plane transverse weak nonlinear shock waves in unstrained incompressible isotropic elastic non-conductors. (with Y. B. Fu). Wave Motion, 11 (1989), 351-365.
• The evolution law of one-dimensional weak nonlinear shock waves in elastic non-conductors. (with Y. B. Fu). Quart. J. Mech. Appl. Math., 42 (1989), 23-39.
• The stability of plane waves in generalised thermoelasticity. In Elastic Wave Propagation, Ed. M. F. McCarthy, M. Hayes, North-Holland, (1989), 623-628.
• Acceleration wave propagation in an inhomogeneous heat conducting elastic rod of slowly varying cross-section. (with Y. B. Fu). J. Thermal Stresses, 11 (1988), 127-140.
• The slowness surfaces of incompressible and nearly incompressible elastic materials. J. Elasticity, 16 (1986), 239-250.
• A note on wave propagation in internally constrained hyperelastic materials. (with M. Hayes). Wave Motion, 7 (1985), 601-605.
• Nested renewal processes with special Erlangian densities. (with A. Bendell). Operations Research, 32 (1984), 1345-1357.
• Some results and examples in the decomposition of functions. Bull. IMA, 18 (1982), 145-148.
• Small vibrations of a fibre-reinforced composite. (with M. Hayes). Quart. Jl Mech. Appl. Math., 29 (1976), 467-486.
• Acceleration waves in incompressible elastic solids. Quart. Jl Mech. Appl. Math., 29 (1976), 295-310.
• Acceleration waves in constrained elastic materials. Arch. ration. Mech. Analysis, 58 (1975), 57-75.