Effect of magnetic field on the reflection/transmission of inhomogeneous waves in fiber-reinforced thermoelastic solids

Abstract

The problem of reflection and transmission of inhomogeneous plane waves caused by incident quasi-longitudinal (qP) and quasi-shear vertical (qSV) waves at the interface between a fiber-reinforced thermoelastic solid under magnetic field and a fiber-reinforced thermoelastic solid is examined mathematically using Lord-Shulman theory. The impact of magnetic intensity on the phase speeds has been discussed. The boundary conditions are taken at the plane interface of the two half-spaces and the amplitude and the energy ratios are derived. Two plane waves, qP wave and qSV wave are modeled to incident at the plane interface which result in three reflected waves in one of the half-spaces and three transmitted waves in the other half-space. The effect of magnetic field on the amplitude ratios, the bulk energy ratios and the interacting energy ratios are analyzed numerically and the results are illustrated graphically.