裂纹与线夹杂垂直接触问题的奇性分析

Analyses of the Singularity for the Vertical Contact Problem of Line Crack-Inclusion

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P R China

摘要: 以短纤维复合材料等作为工程背景,采用现有文献中单裂纹和单夹杂的基本解,对无限平面(基体)上,裂纹和线夹杂的垂直接触问题从断裂力学的角度作了研究,得到了问题的积分方程,推出了接触点的性态指数、奇性应力及以此表示的接触点附近三个区域内的应力强度因子表达式。并给出了一些数值结果,可供工程实际参考。
- 裂纹 /
- 线夹杂 /
- 垂直接触 /
- 奇性应力 /
- 应力强度因子
Abstract: Taking the short-fiber composite materials as engineering back-ground,utilizing the existing basic solutions of single inclusion and single crack,the plane problem of vertical contact interactions between line crack and rigid line inclusion in infinite plane(matrix)from the viewpoint of crack fracture mechanics is studied.According to boundary conditions,a set of standard Cauchy-type singular integral equations of the problem is obtainable.Besides,singular indexes,stresses and stress intensity factors around the contact point are expressed.Numerical examples are given to provide references to engineering.
- crack /
- line inclusion /
- the vertical contact point /
- singular stress /
- stress intensity factor

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