Multiple crack analysis using symmetric galerkin boundary element method

摘要

The paper describes the application of Symmetric Galerkin boundary element method (SGBEM) for the analysis of 2D linear elastic crack problems. Unlike collocation boundary element method, SGBEM requires only C~(0,#alpha#) - continuity for the kinematic unknown on the crack surface, thereby allowing the use of standard C~0 interpolations. The direct SGBEM for crack problems is derived using Betti's reciprocal theorem resulting in a completely symmetric matrix. The effectiveness of this method is demonstrated on a finite rectangular plate containing an edge crack.