A hierarchical quadrature element method for energy release rate calculation in combination with the virtual crack closure technique
A hierarchical quadrature element method for energy release rate calculation in combination with the virtual crack closure technique
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DOI：
10.1016/j.engfracmech.2022.108792
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发表时间：
2022-09
影响因子：
5.4
通讯作者：
W. Xiang;Xin Li;Huai Ni;Bo Liu
中科院分区：
文献类型：
--
作者：
W. Xiang;Xin Li;Huai Ni;Bo Liu
本文首次将虚裂纹闭合技术（VCCT）与具有p收敛性的分层积分单元法（HQEM）相结合，用于应变能释放率（SERR）的计算。提出了一个适用于HQEM的SERR公式，该公式与单元边界的节点布置和节点数无关。通过均质材料Ⅰ型和Ⅱ型断裂以及双材料界面裂纹问题的典型算例，验证了该公式的有效性。通过与几种常用单元的综合比较表明，该方法在网格较粗的情况下，仍能显著提高SERR计算的精度和效率，是一种可行的、有效的断裂分析工具。
In this paper, the virtual crack closure technique (VCCT) is combined with a hierarchical quadrature element method (HQEM) withp-convergence for the evaluation of strain energy release rate (SERR) for the first time. A universal SERR formula suitable for HQEM is proposed, regardless of the node arrangements and the number of nodes per element boundary. The validity of the present formula is evaluated by the typical cases of mode I and II fracture of homogeneous materials, as well as the bimaterial interface crack problem. A comprehensive comparison with several widely-acknowledgedh-version elements shows that the present approach can significantly improve the accuracy and efficiency of SERR calculation even with a relatively coarse mesh and thus be readily used as a viable and effective tool for fracture analysis.