Volume integral equation method for scattering of SH waves by multilayered anisotropic inclusions

Abstract

The Parallel Volume Integral Equation Method (PVIEM) is applied for the analysis of elastic wave scattering problems in an unbounded solid containing multiple multilayered anisotropic circular inclusions. It should be noted that this relatively new numerical method does not require the use of the Green's function for the inclusion - only the Green's function for the unbounded isotropic matrix is needed. This method can also be applied to solve general elastodynamic problems involving arbitrary shape and number of inhomogeneous and/or anisotropic inclusions. A detailed analysis of the SH wave scattering problem is presented for multiple multilayered orthotropic circular inclusions. Numerical results are presented for the displacement fields at the interfaces for square and hexagonal packing arrays of multilayered circular inclusions in a broad frequency range of practical interest. When a large number of inclusions are used in the VIEM formulation, computation time increases. Therefore, it is natural to use parallel programming standard, such as MPI, to speed up computation. It is demonstrated that the MPI-based PVIEM is very accurate and effective for solving this class of elastodynamic problems.