Propagation of plane waves in anisotropic two temperature generalized thermoelasticity

Abstract

The present paper is concerned with the propagation of plane waves in a transversely isotropic generalized thermoelastic solid half-space with two temperatures. The governing equations are modified in the context of Lord and Shulman’s theory of generalized thermoelasticity and are solved to show the existence of three plane waves in the x-z plane. The reflection of these plane waves from a thermally insulated stress-free surface is also studied to obtain a system of three non-homogeneous equations in the reflection coefficients of the reflected waves. For numerical computation of the speeds and reflection coefficients, a particular material is modeled as a transversely isotropic generalized thermoelastic solid half-space. The speeds and reflection coefficients of plane waves are shown graphically against the angle of propagation to observe the effects of anisotropy. The speeds and reflection coefficients of plane waves are also shown graphically against the two-temperature parameter.