Propagation of plane waves in an isotropic two-temperature thermoelastic solid half-space with diffusion

Abstract

In the present paper, the propagation of plane waves in an isotropic two-temperature generalized thermoelastic solid half-space with diffusion is studied. The governing equations are modified with the use of Lord and Shulman theory of generalized thermoelasticity and are solved for plane wave solutions, which show the existence of four plane waves in x–z plane. Reflection phenomenon of these plane waves from thermally insulated stress free surface is also studied to obtain a system of four non-homogeneous equations in reflection coefficients of reflected waves. The expressions for energy ratios of reflected waves are derived. Numerical computations of speed and energy ratios are carried out for a particular material which is modeled as an isotropic generalized thermoelastic solid half-space. The speeds of plane waves are computed against two temperature parameter thermodiffusion constant, measure constants of thermodiffusion effects and diffusive effects to observe the effects of two-temperature and diffusion. Energy ratios of various reflected waves are also computed against the angle of incidence to observe the effects of two-temperature parameter.