Reflection of plane waves from a thermo-microstretch elastic solid with temperature dependent elastic properties

Abstract

Purpose

The purpose of this paper is to study the reflection of a plane harmonic wave at the interface of thermo-microstretch elastic half space. The modulus of elasticity is taken as a linear function of reference temperature. The formulation is applied to generalized thermoelasticity theories, the Lord-Shulman and Green-Lindsay theories, as well as the classical dynamical coupled theory. Using potential function, the governing equations reduce to ten-order differential equation.

Design/methodology/approach

Coefficient ratios of reflection of different waves with the angle of incidence are obtained using continuous boundary conditions. By numerical calculations, the variation of coefficient ratios of reflection with the angle of incidence is illustrated graphically for magnesium crystal micropolar material under three theories.

Findings

The effect of different temperature-dependent constants and frequency on the coefficient ratios of reflection is illustrated graphically in context of Lord-Shulman theory.

Originality/value

The reflection coefficient ratios are given analytically and illustrated graphically. The effects of thermal relaxation times are very small on reflection coefficient ratio. The temperature-dependent constant and wave frequency have a strong effect on the reflection coefficient ratios.

Citation

Qin Song, Y., I.A. Othman, M. and Zhao, Z. (2014), "Reflection of plane waves from a thermo-microstretch elastic solid with temperature dependent elastic properties", Multidiscipline Modeling in Materials and Structures, Vol. 10 No. 2, pp. 228-249. https://doi.org/10.1108/MMMS-07-2013-0052