Memory responses on the Reflection of Electro-Magneto-Thermoelastic Plane Waves from Impedance Boundary of an Initially Stressed Thermoelastic Solid in Triple Phase lag Thermo-Elasticity.

Abstract

This research is an investigation of propagation of the plane waves in a pre-stressed electrically conducting thermoelastic solid half-space in apropos of triple phase lag memory-dependent derivatives (MDDs) magneto-thermo-elasticity. The governing equations in the x-z plane are framed to get the velocity equations whose plane-wave solution bespeaks the existence of three plane waves. The thermally insulated/ isothermal impedance boundary reflection problem is investigated. The formulation for reflection coefficients of reflected waves is derived, enumerated for a particular material and the effects of impedance boundary, magnetic field, initial stress and MDD parameters on the reflection amplitude ratio are depicted graphically.