Reflection ofPandSVwaves from the free surface of a two-temperature thermoelastic solid half-space

The present paper is concerned with the propagation of plane waves in an isotropic generalized thermoelastic solid half-space with two temperatures.The governing equations are modified in the context of the Lord-Shulman theory of generalized thermoelasticity and are solved to show the existence of three plane waves, namely, P, thermal, and SV waves in the x-z plane.The reflection of the P and SV waves from a thermally insulated free surface is studied to obtain the reflection coefficients in closed form.For numerical computations of the speeds and reflection coefficients, a particular material is chosen.The speeds of the plane waves are shown graphically against the two-temperature parameter.The reflection coefficients are also shown graphically against the angle of incidence for different values of the twotemperature parameter.