Influence of Magnetic Field and Hydrostatic Initial Stress on Wave Reflection from a Generalized Thermoelastic Solid Half-space

Abstract

Using a generalized thermoelastic solid half-space, we estimate the impact of magnetic field, initial pressure and hydrostatic initial stress on reflection of P and SV waves. We consider a Green Lindsay model and present the governing equations for an isotropic homogeneous generalized thermoelastic solid under a magnetic field and hydrostatic initial stress. Lame’s potentials are used in two dimensions that tend to separate the governing equations into three equations that are sought in harmonic travelling wave form. We introduce the equations of the velocity of the P wave, thermal wave and SV wave. The boundary conditions for mechanical and Maxwell’s stresses and thermal insulation are applied to determine the reflection coefficients for the P wave, thermal wave and SV wave. Some new aspects are obtained of the reflection coefficients and displayed graphically and new conclusions are presented. Finally, it is shown that, under some conditions, previous results are special cases of our results.