Propagation of P waves from stress-free surface elastic half-space with voids under thermal relaxation and magnetic field

Abstract

In this paper, an attempt is allocated to investigate the influence of the magnetic field and voids on the reflection of P waves under LS model. The basic governing equations for isotropic and homogeneous generalized thermoelastic half-space with voids under Maxwell’s stress are formulated in the context of the Lord Shulman theory. The boundary conditions at stress-free thermally insulated surface are satisfied to obtain a system of four equations in the reflection coefficients of various reflected waves. It is shown that there exist four plane waves; P 1 , P 2 , P 3 and SV waves. In addition, the reflection coefficients from insulated and isothermal stress-free surface for the incidence of P waves are obtained. Finally, numerical values of the complex modulus of the reflection coefficients are visualized graphically to display the effects of the magnetic field, thermal relaxation and voids parameters.