Propagation of p-, T-, and SV-waves at the interface between two solid–liquid media with magnetic field and initial stress in the context of two thermoelastic theories

Abstract

In this paper, we study the effects of magnetic field and initial stress on p-, T-, and SV-waves propagation. We investigated the problem of reflection and refraction of thermoelastic waves at a magnetized solid–liquid interface in the presence of initial stress. In the context of classical theory and Green–Lindsay theory of thermoelasticity, the problem has been solved. The boundary conditions applied at the interface are: (i) displacement continuity; (ii) vanishing tangential displacement; (iii) continuity of normal force per unit initial area; (iv) tangential force per unit initial area must vanish; and (v) continuity of temperature. The amplitudes ratios for the incident p-, T-, and SV-waves have been obtained. The reflection and transmittion coefficients from the incident waves are computed numerically, considering the initial stress and magnetic field effect and the results obtained have been presented graphically.