An exact method for analyzing elastic waves in anisotropic media excited by harmonic line loads

Abstract

An exact matrix formulation for analyzing wave fields generated by harmonic line loads in anisotropic media is presented. In this formulation, a Fourier transform with respect to spatial coordinates is employed. An efficient technique to evaluate the inverse integral is implemented. Using this technique, the inverse integration in one direction is carried out analytically and the displacement is subsequently expressed explicitly as a one-dimensional integration. A quadrature scheme and complex path is then used to evaluate the integration to obtain the displacement in the spatial domain for both pure elastic materials and materials with dissipation. Numerical examples are presented to demonstrate the validity of the present method, and wave fields for the displacement are investigated for isotropic and anisotropic media.