两相材料V形切口应力强度因子边界元分析

建立了边界元法计算两相材料粘结V形切口奇异应力场的新途径。在V形切口尖端挖出一小扇形，将该扇形弧线边界的位移和面力表示为有限项奇性指数和特征角函数的线性组合，其组合系数即为广义应力强度因子，将该组合回代到在被挖去小扇形后的剩余结构内建立的边界积分方程，离散后可求解出组合系数，获得两相材料粘结V形切口尖端的应力强度因子。算例证明了本文方法的有效性。

BOUNDARY ELEMENT ANALYSIS OF STRESS INTENSITY FACTORS OF V-NOTCH IN BONDED BI-MATERIALS

A new way to determinate the singularity stress field near the V-notch tip in bonded bi-materials by the boundary element method is proposed. A small sector around the V-notch tip is dug out from the V-notch structures. The displacements and stresses in this small sector are expressed as the linear combinations of finite terms of the series expansion with several singularity orders. The combination coefficients are the generalized stress intensity factors of the V-notch. Then the expressions of displacements and stresses are substituted into the boundary integral equations which are established in the V-notch structures without the tip sector. The combination coefficients can be obtained by solving the discretized boundary integral equations. Two examples demonstrate the efficiency of the present method.