穿过反平面圆形夹杂界面的曲线型刚性线

利用复变函数方法和叠加原理建立了求解刚性线夹杂问题的弱奇积分方程，利用Ｃａｕｃｈｙ型奇异积分方程主部分方法，研究了穿过反平面圆夹杂界面的曲线型刚性线夹杂在界面交点处点处的奇性应力指数以及交点处角形域内的奇性应力，并定义了交点处的应力奇性因子。利用所得的奇性应力指数，通过对弱奇异积分方程的数值求解，得出了刚性线端点和交点处的应力奇性因子。

CURVED RIGID LINE ACROSS A BOUNDARY OF ANTIPLANE CIRCULAR INCLUSION

Applying complex variable function method and superposition principle, the weakly singular integral equation to solve the problem of the curved rigid line crossing the boundary of the antiplane circular inclusion is obtained. By virtue of principal part analysis method for the Cauchy type integral equation, the singular stress index at the intersecting point and the singular stress of different angular region near the intersecting point are obtained. The stress singular coefficient at the intersecting point is defined in terms of singular stress. By the obtained singular stress index, the interpolation formulas for the unknown function of the weakly singular integral equation are established. Solving the weakly singular integral equations numerically, the stress singular coefficient at the end points of the rigid line and intersecting point can be yielded.