Green Lindsay model on reflection and refraction of p- and SV-waves at interface between solid-liquid media presence in magnetic field and initial stress

摘要

In this paper, the reflection and transmission of thermoelastic wave at a solid-liquid interface in presence of initial stress and magnetic field is investigated in context of GL model. After solving the governing equations, we can find the two reflection and refraction coefficients of incident p-(pressure) and SV- (shear vertical) waves in presence of initial stress and magnetic field. The boundary conditions at the interface that: (i) displacement continuity, (ii) vanishing the 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 is applied. The appropriate expressions to find the amplitude ratios for the two incidence waves (p- and SV-waves) have been obtained. A numerical example is considered for the reflection and transmitted coefficients of the incident waves, in which we study the effect of initial stresses and magnetic field. The results obtained are presented graphically for the effect of magnetic field and initial stress to display the phenomena physical meaning.