夹杂和裂纹的相互作用及端点相交的奇性性态分析

The Crack-Inclusion Interaction and the Analysis of Singularity for the Horizontal Contact

利用单根裂纹和单根夹杂的基本解 ,通过弹性力学的线性叠加原理 ,将平面裂纹和夹杂相互作用的问题归结为解一组带有柯西型奇异积分的积分方程组 。

Using the basic solutions of a single crack and a single inclusion, and making use of the principle of linear superposition of elastic mechanics, the interaction problem between a planar crack and a flat inclusion in an elastic solid is studied. The problem is reduced to solve a set of standard Cauchy_type singular equations. And the stress intensity factors at points of crack and inclusion were obtained. Besides, the singularity for the horizontal contact of crack and inclusion was analyzed. The calculating model put forward can be regarded as a new technique for studying the crack and its expanding caused by inclusion tip. Then several numerical examples are given.