Plane Waves Transmission and Reflection at the Interface Between Thermoelastic Continua in Absence of Dissipation: The Influence of Magnetic Field and Rotation

Abstract

In the present contribution, it is addressed the problem of plane wave reflection and transmission at the imperfect interface between thermoelastic halfspaces having different properties when the effect of magnetic and rotation fields is relevant. Using Green and Naghdi theory, we formulate the needed governing equations for thermoelastic bodies occupying both an half space under the assumption that each of them is homogeneous and isotropic. We could solve in a closed form the problem of planar waves whose propagation is determined by postulated balance equations. The amplitude of transmitted and reflected waves are obtained so that we can prove that one can observe three kinds of waves, namely, P–waves, T–waves and SV–waves. Our closed form solution allows us to determine the amplitude ratios between reflected and refracted waves also in the case of imperfect boundary. In particular, we obtain that these amplitude ratios depend on the elastic stiffness, the magnetic field and on the thermal properties of the considered bodies. Also the case of stress-free boundary has been considered. The effect of the magnetic and rotation fields is investigated via suitable numerical computations. We observe that rotation and magnetic fields may induce relevant phenomenology.