Rotation and magnetic field effects on P wave reflection from a stress-free surface of elastic half-space with voids under one thermal relaxation time

The present paper is devoted to the investigation of the influence of the rotation, thermal field, magnetic field and voids on the reflection of a P wave with one relaxation time. The basic governing equations for isotropic and homogeneous generalized thermoelastic half-spaces with voids, rotation and Maxwell’s stress are formulated in the context of the Lord Shulman theory. The boundary conditions at the stress-free thermally insulated surface are satisfied to obtain an algebraic 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 P 4 . In addition, the reflection coefficients from insulated and stress-free surfaces for the incident P wave are obtained. Finally, numerical values of the complex modulus of the reflection coefficients are visualized graphically to display the effects of the rotation, magnetic field, thermal relaxation time and void parameters.