Analysis of three-dimensional edge cracks under tensile loading

摘要

Three-dimensional edge cracks are analyzed using the Self-Similar Crack Expansion (SSCE)method with a boundary integral equation technique. The boundary integral equations for surface cracks in a half space are presented based on a half space Green's function(Mindlin, 1936). By using the SSCe method, the stress intensity factors are determined by crack-opening displacement over the crack surface. In discrete boundary integral equations, the regular and singular integrals on the crack sur- face elements are evaluated by an analytical method, and the closed form expressions of the integrals are given for subsurface cracks and edge cracks.