Reflection of P and SV waves from a stress-free surface thermoelastic half-space under the influence of a magnetic field and hydrostatic initial stress without energy dissipation

Abstract

The influence of the magnetic field and thermal field on the reflection of P and SV waves under hydrostatic initial stress is investigated. The basic governing equations for isotropic and homogeneous thermoelastic half-space under hydrostatic initial stress and Maxwell's stress are formulated in the context of the Green and Naghdi theory of type III. The governing equations are solved analytically in a two-dimensional xz-plane and then the velocities of reflected waves are obtained. It is shown that there exist three plane waves; P, thermal and SV waves. In addition, the reflection coefficients from stress-free surface for the incidence of P and SV waves are obtained. Finally, the influence of magnetic field and hydrostatic initial stress on the results obtained are computed numerically and displayed graphically.