Analysis of 3D cracks in anisotropic multi-material domain with weakly singular SGBEM

摘要: Abstract A weakly singular, symmetric Galerkin boundary element method (SGBEM) is established for analysis of cracks in a three-dimensional, linearly elastic domain consisting subdomains which are made from different materials. The integral equations governing each subdomain obtained by employing pair weak-form displacement and traction equations. system the entire subsequently form properly combining along with use continuity displacements tractions on interface. technique developed possesses several important features: (1) it applicable modeling arbitrary geometry under general loading; (2) contain only singular kernels (of O ( 1 / r ) such that their validity requires data; (3) formulation gives rise to linear coefficient matrix; (4) allows treatment multi-material where material constituting can be generally anisotropic. In numerical implementation, standard C o elements employed everywhere except crack surface special crack-tip utilized model asymptotic behavior vicinity front. this allows, additionally, mixed-mode stress intensity factors determined directly accurately terms extra degrees freedom introduced at nodes Several example problems presented demonstrate accuracy capability technique; results indicate highly accurate relatively coarse meshes.