Torsional Surface Waves in a Self-Reinforced Medium over a Heterogeneous Half Space

Abstract

This paper aims to study the dispersion of torsional surface waves in a self-reinforced layer over a half-space with linearly varying rigidity and density. Dispersion equation has been obtained in closed form. Dispersion relation for isotropic layer lying over a heterogeneous half-space has been deduced. As a result, the velocity equation for reinforced layer over a half-space of constant density has also been obtained. It has been observed that for isotropic upper layer over a homogeneous half-space, the velocity of torsional surface waves coincides with that of Love waves. This study shows that the increment in inhomogeneity decreases the phase velocity but the presence of reinforcement increases it significantly. Effects of different inhomogeneity parameters on the phase velocity have been depicted by means of graphs. Dispersion curves have been plotted for both reinforced and reinforcement free cases.