Reflection/transmission of plane waves at an imperfectly bonded interface of two orthotropic generalized thermoelastic half-spaces

Abstract

The present study is concerned with the reflection and transmission of plane waves at an imperfectly bonded interface of two orthotropic generalized thermoelastic half-spaces with different elastic and thermal properties. The reflection and transmission coefficients of quasi longitudinal (QL-) wave, quasi thermal (T-mode) wave and quasi transverse (QT-) wave have been derived for different incident waves. The reflection and refraction coefficients of different reflected and transmitted waves have been compared for the two generalized theories, i.e. Lord–Shulman theory [H.W. Lord, Y. Shulman, J. Mech. Phys. Solids 15 (1967) 299–309] and Green–Lindsay theory [A.E. Green, K.A. Lindsay, J. Elasticity 2 (1) (1972) 1–7] with angle of incidence. Some special cases of boundaries, i.e. normal stiffness, transverse stiffness, thermal contact conductance, slip boundary and welded contact boundary have been deduced from an Imperfect one. It is observed that thermal properties and imperfect boundary have significant effect on the propagation of waves.