Reflection of plane waves in a micropolar thermo-diffusion porous medium

Abstract

The research article deals with the reflection of plane waves in a micropolar thermoelastic diffusion solid half-space with voids in the context of Lord-Shulman theory of thermoelasticity. The governing equations are formulated to obtain two velocity equations. The plane wave solution of these velocity equations indicate the existence of six plane waves, a set of four coupled longitudinal displacement waves and a set of two coupled transverse displacement wave namely coupled longitudinal displacement wave ( LD − 1 ) , coupled thermal wave ( LD − 2 ) , coupled mass diffusion wave ( LD − 3 ) , coupled longitudinal void volume fraction wave ( LD − 4 ) and coupled transverse displacement wave ( TD − 1 ) , coupled transverse micro-rotational wave ( TD − 2 ) . A reflection of the plane wave from a stress-free thermally insulated surface is studied to obtain the reflection coefficients and energy ratios of reflected waves. The reflection coefficients and energy ratios of the reflected waves are computed for a particular material and the variations of the reflection coefficients and energy ratios against the angle of incidence are shown graphically.