特異積分方程式法による異種材料接合界面に接する 3 次元き裂の理論的解析

抄録

In this paper a three dimensional crack perpendicular to and terminating at a bimaterial interface is considered under general mixed-mode loading. The solution utilizes the body force method and requires Green's functions for perfectly bonded elastic half planes. The formulation leads to a system of hypersingular integral equations whose unknowns are three modes of crack opening displacements. The main-part analytical method is used to investigate the characteristics of stress singularity around the crack front touching the interface. An explicit closed-form expression is given for the singular stress field, which is controlled by general stress intensity factors. The relations between three modes of crack opening displacements and stress intensity factors are also discussed.