Abstract:Based on the fundamental solution of elasticity for two-half elasticity plane,the boundary integral equation method is extended to study the fracture problem in bimaterial plane with multiple cracks subjected to arbitrary loads. As the cracks lie in one side of the bimaterial plane,the problem is reduced with finite-part integral conceptions to a set of hypersingular integral equations,in which the unknown functions are the displacement discontinuities on the crack surfaces. According to the finite-part integral principles,a numerical method for the hypersingular integral equations is established. Then,based on the analytic results of the singular stress fields near the crack tip,a set of numerical formulas for stress intensity factors are proposed. Finally,solutions for stress intensity factors are given for conditions such as those with two collinear cracks in a finite plane and two cracks which are perpendicular to the interface in bimaterial plane. The interaction of cracks and the effects of the interface on stress intensity factors are investigated in detail. The numerical results show that the hypersingular integral equation method works effectively in solving the multiple cracks problem in bimaterial plane.