Modelling of torsional wave propagation in a two-layer anisotropic inhomogeneous media

Abstract

Abstract The current article reflects the behavior of torsional waves in a two-layer inho-mogeneous model, where rigidities and density vary along with the depth parameter z. The variation for the upper layer and lower half-space has been taken as the product of two exponential functions and the product of one linear and exponential function, respectively. A mathematical model is developed by following the concept of elastic waves. The separation of the variable method has been imposed on both layers in order to calculate the displacement equations. Intrinsic boundary conditions are imposed to derive the frequency equation in closed form. It has been observed a substantial effect of rigidity and density on the phase velocity of the torsional wave. Graphical presentations have been performed in order to support the different findings of the dispersion equation.