Reflection of plane wave in a micropolar thermoelastic solid half-space with diffusion

摘要

In this article, the governing equations of micropolar thermoelasticity with diffusion are formulated in the context of Lord-Shulman theory of generalized thermoelasticity. The plane wave solutions of these equations indicate the existence of six plane waves, namely, coupled longitudinal displacement (CLD) wave, coupled thermal wave, coupled mass diffusion wave, coupled transverse microrotational wave, coupled transverse displacement wave, and longidudinal microrotational wave. Reflection of CLD wave from a stress-free thermally insulated/isothermal surface is considered. The appropriate potentials of incident and reflected waves satisfy the required boundary conditions at a stress-free thermally insulated/isothermal surface to obtain the reflection coefficients of various reflected waves for an incident CLD wave and to obtain an extension of Snell's law. The expressions for energy ratios of various reflected waves are also obtained. A particular material aluminum-epoxy composite is chosen to compute the values of reflection coefficients and energy ratios of reflected waves. The effects of diffusion and thermal parameters are observed on the reflection coefficients and energy ratios.