Analysis of wave scattering at the loosely bonded common interface of piezothermoelastic and isotropic elastic media under LS (Lord-Shulman) and GL (Green-Lindsay) theory of thermoelasticity

The present paper delves into the problem of reflection and refraction of incident plane wave at the loosely bonded common interface of an isotropic elastic medium and piezothermoelastic medium. The mechanical boundary conditions and the non-classical theory of thermo-electrodynamics for a piezothermoelastic material are employed to obtain the amplitude ratios of reflected and refracted waves, respectively. Emphasis has been given to analyze the variation of amplitude ratios of different reflected and transmitted waves under LS (Lord-Shulman) and GL (Green-Lindsay) theories of thermoelasticity. The variation of amplitude ratios corresponding to the alteration of bonding parameter for different waves has been computed numerically in respect to the generalized theory of thermoelasticity. Moreover, the effect of thermal boundaries (isothermal and adiabatic) and electrical boundaries (electrically open and electrically short), on the amplitude ratios for a particular model are presented graphically. The expressions for energy ratios of reflected and refracted waves are derived and energy conservation is validated with the help of obtained graphs under LS and GL theories.

Automated summary

This paper investigates the reflection and refraction problem of incident plane waves at the loosely bonded common interface between an isotropic elastic medium and a piezothermoelastic medium. By using mechanical boundary conditions and the non-classical theory of thermo-electrodynamics, the amplitude ratios of reflected and refracted waves are obtained. The study focuses on the variations of amplitude ratios under different thermoelasticity theories. Numerical computations are used to analyze the changes in amplitude ratios with respect to the bonding parameter in the generalized theory of thermoelasticity. Additionally, the effects of thermal and electrical boundaries on the amplitude ratios are presented graphically for a specific model. Energy ratios of reflected and refracted waves are derived and energy conservation is validated using graphs under different thermoelasticity theories.