内部压力作用下矩形板中源于椭圆孔的分支裂纹应力强度因子的一种数值分析

应用一种边界元方法来研究内部压力作用下矩形板中源于椭圆孔的分支裂纹。该边界元方法由Crouch与Starfied建立的常位移不连续单元和笔者最近提出的裂尖位移不连续单元构成。在该边界元方法的实施过程中，左、右裂尖位移不连续单元分别置于裂纹的左、右裂尖处，而常位移不连续单元则分布于除了裂尖位移不连续单元占据的位置之外的整个裂纹面及其它边界。本数值结果进一步证实这种数值方法对计算有限大板中复杂裂纹的应力强度因子的有效性，同时该数值结果可以揭示裂纹体几何对应力强度因子的影响。

A numerical analysis of stress intensity factors for cracks emanating from an elliptical hole in a rectangular plate subjected to internal pressure

An analysis of cracks emanating from an elliptical hole in a rectangular plate subjected to internal pressure is made by means of a boundary element method presented recently by the author.The boundary element method consists of the constant displacement discontinuity element presented by Crouch and Starfield and the crack tip displacement discontinuity elements proposed by the author.In the boundary element implementation the left or the right crack tip displacement discontinuity element is placed locally at corresponding left or right crack tip on top of the constant displacement discontinuity elements that cover the entire crack surface and the other boundaries.The present numerical results further illustrate that the present approach is very effective and accurate for calculating stress intensity factors of complex cracks in a finite plate and can reveal the effect of the cracked body geometry on stress intensity factors.