An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions
An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions
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DOI：
10.1016/s0013-7944(01)00080-7
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发表时间：
2002-02
影响因子：
5.4
通讯作者：
M. Gosz;B. Moran
中科院分区：
文献类型：
--
作者：
M. Gosz;B. Moran
提出了一种新的交互作用能量积分法，用于提取非平面三维裂纹前缘沿着方向的混合型应力强度因子。在该方法中，定义了相互作用能围道积分，并以区域形式表示。混合型应力强度因子是通过计算域积分作为有限元法的后处理步骤而获得的。为了评估该方法的准确性，两个基准问题被认为是。第一个问题是等双轴拉伸下无限延伸固体中的弧形裂纹问题。第二种是嵌在承受静水张力的无限固体中的透镜状裂纹。从文献中获得的数值和相应的分析结果之间获得良好的协议。
A new interaction energy integral method for extracting mixed-mode stress intensity factors along the fronts of non-planar, three-dimensional cracks is described. In the method, interaction energy contour integrals are defined and expressed in domain form. The mixed-mode stress intensity factors are obtained by evaluating the domain integrals as a post-processing step in the finite element method. To assess the accuracy of the method, two benchmark problems are considered. The first problem is that of an arc crack in an infinitely extended solid subjected to equibiaxial tension. The second is that of a lens-shaped crack embedded in an infinite solid subjected to hydrostatic tension. Excellent agreement is obtained between the numerical and corresponding analytical results obtained from the literature.