New integration scheme for the branch crack problem
New integration scheme for the branch crack problem
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DOI：
10.1016/0013-7944(95)00052-w
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发表时间：
1995-11
影响因子：
5.4
通讯作者：
Y. Chen;N. Hasebe
中科院分区：
文献类型：
--
作者：
Y. Chen;N. Hasebe
平面弹性力学中的分支裂纹问题可以用位错的合理分布来模拟。以如下方式提出了一种新的集成方案。在分支点处放置一个点位错，并假设位错沿沿着分布。这样，就可以建立分支裂纹问题的奇异积分方程和约束方程。使用半开求积法则，可以保证未知数的数目等于方程的数目。数值解的结果与分支尖端的应力强度因子直接相关。最后给出了几个数值例子。
The branch crack problem in plane elasticity is modeled by a reasonable distribution of the dislocation. A new integration scheme is proposed in the following manner. A point dislocation is placed at the branch point and the distributed dislocations are assumed along all the branches. Thus, the singular integral equation and the constraint equation can be formulated for the branch crack problem. A semi-open quadrature rule is used, which can ensure that the number of unknowns is equal to the number of equations. The results of the numerical solution directly relate to the stress intensity factors at the branch tip. Finally, several numerical examples are given.