PROPAGATION OF PLANE WAVES IN AN ANISOTROPIC GENERALIZED THERMOELASTIC SOLID WITH DIFFUSION

摘要

This paper is concerned with the propagation of plane waves in a transversely isotropic generalized thermoelastic solid half-space with diffusion. The governing equations are modified in the context of the Lord and Shulman theory of generalized thermoelasticity and are solved to show the existence of four plane waves in the xz plane. Reflection of these plane waves from a thermally insulated free surface is studied, and a system of four nonhomogeneous equations for the reflection coefficients is obtained. For numerical computations of the speed and reflection coefficients, a particular material is modeled as a transversely isotropic generalized thermoelastic solid half-space. The speeds of plane waves are calculated against the angle of propagation to reveal the effects of anisotropy and diffusion. The reflection coefficients of various reflected waves are also obtained that demonstrate the effect of diffusion parameters.