方孔分支裂纹的一种边界元分析

Boundary element analysis of branching cracks emanating from a square hole

方孔分支裂纹是一个很复杂裂纹问题.本文利用笔者最近提出的边界元方法来研究内部压力作用下方孔分支裂纹问题.数值算例与文献报道的结果进行比较,发现这种数值方法无论对无限大板还是对有限大板中复杂裂纹的应力强度因子计算都非常有效.另外本文报道的方孔分支裂纹的应力强度因子数值结果可以揭示裂纹体几何对应力强度因子的影响.

Branching cracks emanating from a square hole is a very complicated problem. In this paper, an analysis of branching cracks emanating from a square hole subjected to the internal pressure is made by means of a boundary element method presented recently by the author. Numerical examples are given and compared with those in literature. It is found that the numerical approach is very effective and accurate for calculating the stress intensity factors of complex cracks either in an infinite plate or in a finite plate. Moreover, the numerical results reported here can reveal the effect of the cracked body geometry on the stress intensity factors.