Effect of the Heterogeneity, Initial Stress and Viscosity on the Propagation Characteristics of Shear Wave

This paper irradiates the influence of initial stress, heterogeneity and viscoelasticity on the propagation behavior of shear wave in a heterogeneous orthotropic layer under initial stress overlying a heterogeneous viscoelastic half-space. A separation of variables method has been adopted to obtain the analytical solutions for both the layer and half-space separately. A complex frequency equation has been derived by using suitable boundary conditions. Thereafter, the complex frequency equation has been separated into dispersion and absorption equations. The effects of heterogeneities, initial stress and attenuation coefficient on the phase velocity and dissipation function of shear wave have been shown graphically.