Analysis of elastic wave scattering problems using volume integral equation method

Abstract

A volume integral equation method (VIEM) is applied for the effective analysis of elastic wave scattering problems in unbounded solids containing isotropic or anisotropic inclusions. It should be noted that this newly developed numerical method does not require Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. Through the analysis of plane wave scattering problems in unbounded isotropic matrix with isotropic or anisotropic inclusions, it will be established that this new method is very accurate and effective for solving plane wave scattering problems in unbounded solids containing isotropic or anisotropic inclusions.