Effect of Reinforcement and Inhomogeneity on the Propagation of Love Waves

Abstract

The aim of this paper is to investigate the propagation of Love waves in an anisotropic fiber-reinforced layer over an elastic inhomogeneous stratum. The inhomogeneity of the half-space has been taken as a linear variation of rigidity and density. The equations of motion have been formulated separately for layer and half-space under suitable boundary conditions. The frequency relation of phase velocity has been deduced in compact form using separation of variables by means of the Whittaker function. Some particular cases have also been investigated. As a special case when both the layer and half-space are homogeneous, the computed frequency relation coincides with the general equation of the Love wave. Numerical calculations of frequency relation have been performed for different values of parameters and plotted graphically to study the effect of different factors. The wave velocity is strongly influenced by the reinforcement and inhomogeneity parameters.