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

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; P1,P2,P3P1,P2,P3 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.