Regularization of the Displacement and Traction BIE for 3D Elastodynamics Using Indirect Methods

摘要: This paper deals with regularization techniques developed in order to overcome the strongly singular (displacement BIE) or hypersingular (traction character of boundary integral equations commonly used for three-dimensional elastodynamics. More specifically, we address indirect techniques, which rely upon singularity exclusion and separate evaluation integrals containing kernel only. In many, but not all, cases, this can be made using an auxiliary static problem together fact that dynamic kernels share same term. first give a bibliographical outline problem. Then regularized displacement traction BIE general 3D situations transient elastodynamics, including crack problems, are derived stated. We also recall related results interest. numerical implementation considerations considered. For completeness, brief survey Galerkin-type direct approaches is given. Finally some examples elastodynamics