用非等参边界元计算二维裂纹应力强度因子

Two-dimensional Stress Intensity Factor Computation Using Non-isoparametric Boundary Elements

本文针对二维裂纹应力强度因子的计算,提出一种特殊的三点非等参曲线边界元。文中对于出现在这种单元上的强奇异积分给出了具体处理办法;并推导出了用这种单元节点位移计算裂纹尖端应力强度因子的具体表达式。算例检验表明本文提出的特殊边界单元优于常用的“1/4节点”单元。

This paper proposes a special three-node non-isoparametric curved boundary element,for the computation of two-dimensional stress intensity factor. The treatment of the strong singular integrals involved in such special elements is given in detail,and the expression of crack-frontal stress intensity factor by the nodal displacements of such special element is derived. It is shown by several examples that the special element proposed in this paper has an advantage over the conventional quarter-point element.