Effect of initial stresses on incident $qSV$-waves in pre-stressed elastic half-spaces

The effect of initial stresses on incident quasi $SV$-waves at a plane interface between two dissimilar pre-stressed elastic half-spaces is investigated. The reflection and refraction coefficients of the reflected and refracted $qSV$- and $qP$-waves are derived with the help of appropriate boundary conditions. The coefficients are found to be functions of the angle of incidence and the initial stresses and incremental elastic parameters of the pre-stressed elastic half-spaces