Torsional wave in an initially stressed layer lying between two inhomogeneous media

In the present paper, case wise studies have been made to investigate the existence of torsional surface wave in an initially stressed isotropic heterogeneous layer sandwiched between two inhomogeneous semi infinite media. Two cases have been discussed separately for wave propagation in an inhomogeneous layer between homogeneous and non-homogeneous half spaces, respectively. The dispersion relations of torsional surface wave for both the cases have been obtained in closed form. The effect of inhomogeneity parameter and initial stresses on the propagation of torsional surface wave have been discussed and presented graphically by plotting the dispersion curves.