曲线裂纹和反平面圆形夹杂相交问题

ANTIPLANE CIRCULAR INCLUSION WITH A CURVED CRACK CROSSING THE BOUNDARY

建立了和反平面圆夹杂界面相交的曲线裂纹的弱奇异积分方程 ,利用Cauchy型奇异积分方程主部分析方法研究了穿过反平面圆夹杂界面的曲线裂纹在交点处的奇性应力指数以及交点处角形域内的奇性应力 ,并根据奇性应力定义了交点处的应力强度因子 .通过对弱奇异积分方程的数值求解 ,可得裂纹端点和交点处的应力强度因子 .

The weakly singular integral equation used to solve the problem of the curved crack crossing the boundary of the antiplane circular inclusion is presented. Using principal part analysis method of Cauchy type integral equation, the singular stress index at the intersection and the singular stress of angular regions near the intersection are obtained. The stress intensity factor at the intersection is then defined by using the obtained singular stress. Through the numerical solution of the integral equation, the stress intensity factors at the end points of the crack and intersection are obtained.