Indirect Bem Formulation for 2D Elastodynamic Problem

摘要

This paper deals with a 2d scattering problem of elasto-acoustic plane waves in elastic isotropic and homogenous media. An indirect BEM formulation is applied to obtain the solution of a problem with mixed boundary condition in both bounded and unbounded domains. A system of integral equations with singular kernels is derived. The variational formulation allows direct integration of singular terms and Hypersingular integral, coming from the traction representation, is treated based on analytical transformation. An associated algorithm is implemented. Several examples and discussions, showing stability and accuracy of this method are presented.