完备型二次边界轮廓法的研究及J积分和应力强度因子的计算  

Research of perfect quadratic boundary contour method and the evaluations of J integral and stress intensity factor

作　　者：陈颂英[1,2] 周慎杰[1,2] 孙树勋[1,2] 郑雯 

机构地区：[1]山东工业大学化工系 [2]山东工业大学工程力学研究所

出　　处：《计算力学学报》1999年第3期370-374,共5页Chinese Journal of Computational Mechanics

基　　金：山东省自然科学基金

摘　　要：选择二次完全多项式作为位移形函数，对边界轮廓法作了进一步的发展。证明二维弹性断裂问题的Ｊ积分方程的被积函数的散度等于零，将Ｊ积分化为边界点的势函数值的计算，无需计算数值积分。算例表明，该方法较传统边界元法求得的结果精度更好。Some developments of boundary contour method with perfect quadratic polynomial selected as displacement shape function are presented in this paper. Divergence free property of J integral in two dimensional elastic fracture problem is testified and J integral problems can be reduced can be reduced to merely evaluation of potential functions at points on the boun dary of a body without numerical integrals. Numerical results are given to show that the accuracy of the method is very excellent.

关 键 词：边界元 J积分 应力强度因子 二次边界轮廓法 

分 类 号：O346.1[理学—固体力学]