Reflection and Transmission of Plane Dilatational Wave at a Plane Interface Between an Elastic Solid Half-Space and a Thermo-viscoelastic Solid Half-Space with Voids

Abstract

Reflection and transmission phenomena due to an incident coupled dilatational waves striking obliquely at a plane interface between a uniform elastic solid half-space and a thermo-viscoelastic solid half-space with voids in welded contact has been investigated. Two cases of incidence have been considered: (a) Incidence of a set of coupled dilatational wave at the interface after propagating through the thermo-viscoelastic solid half-space with voids; (b) Incidence of a homogeneous dilatational wave at the interface after propagating through the uniform elastic solid half-space. The amplitude and energy ratios for various reflected and transmitted waves have been presented in closed form. Numerical computations have been performed by considering dry sandstone as an elastic solid half-space and copper as a thermo-viscoelastic solid half-space with voids to study the dependence of amplitude and energy ratios on the angle of incidence of dilatational waves. Effect of the presence of voids and thermal parameters on the amplitude ratios are also investigated and all the numerical results obtained have been presented graphically. It has been verified that during reflection/transmission phenomena, the sum of energy ratios is equal to unity at each angle of incidence. Earlier known results of Tomar et al. (2014) have been deduced as a special case of the present formulation.