Modelling of stationary and growing cracks in FE framework without remeshing: a state-of-the art review
Modelling of stationary and growing cracks in FE framework without remeshing: a state-of-the art review
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DOI：
10.1016/s0045-7949(02)00431-5
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发表时间：
2003-02
影响因子：
4.7
通讯作者：
B. Karihaloo;Q. Xiao
中科院分区：
文献类型：
--
作者：
B. Karihaloo;Q. Xiao
综述了最近发展起来的在有限元框架内模拟裂纹的技术，这些技术使用与裂纹形状无关的网格，从而避免了重新划分网格。它们将传统的有限元方法与单位分割法相结合，用于模拟单个裂纹、交叉或分支裂纹以及孔洞或其他内部界面发出的裂纹。讨论了浓缩单元的数值积分，离散方程组的线性相关性和相应的求解技术，以及裂纹尖端场的精度。讨论了该技术的进一步发展及其应用前景。
The recently developed techniques for modelling cracking within the finite element (FE) framework which use meshes independent of the crack configuration and thus avoid remeshing are reviewed. They combine the traditional FE method with the partition of unity method for modelling individual cracks, intersecting or branching cracks, as well as cracks emanating from holes or other internal interfaces. Numerical integration for the enriched elements, linear dependence and the corresponding solution techniques for the discretized system of equations, as well as the accuracy of the crack tip fields are addressed. Future improvements of the techniques as well as their applications are discussed.