Effects of voids and rotation on P wave in a thermoelastic half-space under Green–Naghdi theory

Abstract

In this paper, the problem of wave propagation in a thermoelastic solid half-space with voids and rotation is considered in context of the Green–Naghdi theory of thermoelasticity. The basic governing equations for an isotropic and homogeneous thermoelastic half-space are formulated and solved analytically. The solution of the governing equations indicates the existence of four coupled plane waves, namely P1, P2, P3 and P4, in the medium. The boundary conditions at the thermally insulated stress-free surface are satisfied by the particular solutions in the half-space to obtain analytically the expressions for reflection coefficients of various reflected waves. A numerical example is chosen to study the velocities and reflection coefficients numerically to observe the effects of voids and rotation.