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 surfacecracks in a half space are presented based on a half space Green’s function (Mindlin,1936).By usingthe SSCE method,the stress intensity factors are determined by the crack-opening displacement over thecrack 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 aregiven for subsurface cracks and edge crakcs.This globally numerical and locally analytical method im-proves the solution accuracy and computational effort.Numerical results for edge cracks under tensileloading with various geometries,such as rectangular cracks,elliptical cracks,and semi-circular cracks,are presented using the SSCE method.Results for stress intensity factors of those surface breaking cracksare in good agreement with other numerical and analytical solutions.