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A Novel Robust Remeshing Finite Element Technique for Fracture Propagation
International Journal of Computational Methods ( IF 1.7 ) Pub Date : 2020-07-13 , DOI: 10.1142/s0219876220500401
L. D. C. Ramalho 1 , J. Belinha 2 , R. D. S. G. Campilho 2
Affiliation  

In this work, a novel and robust remeshing algorithm for crack opening problems is proposed, combined with triangular plane stress finite elements. In the proposed algorithm, the crack tip efficiently propagates until a pre-established maximum crack length is achieved and the crack propagation direction is defined considering the maximum tangential stress criterion. The stress state at the crack tip is obtained using a weighted average of the stresses of the integration points adjacent to the crack tip, to smoothen the stress field near the crack tip. In order to achieve accurate stress fields in the vicinity of the singularity, the proposed algorithm establishes that there is always a fixed number of nodes and elements surrounding the crack tip. To verify the accuracy of the algorithm, three benchmark tests were analyzed and the solutions were compared with results available in the literature. It was observed that the proposed technique allows to maintain the meshes regular during the propagation process, significantly reducing the number of distorted elements, which solves one of the main problems when simulating crack propagation with the finite element method (FEM). Additionally, the obtained results allowed to understand that this algorithm generally leads to accurate crack paths.

中文翻译:

一种新的用于裂缝扩展的鲁棒重新网格化有限元技术

在这项工作中,结合三角平面应力有限元,提出了一种新颖且鲁棒的裂纹张开问题重新网格划分算法。在所提出的算法中,裂纹尖端有效地扩展,直到达到预先确定的最大裂纹长度,并且考虑最大切向应力准则来定义裂纹扩展方向。裂纹尖端的应力状态是利用裂纹尖端附近积分点的应力加权平均得到的,以平滑裂纹尖端附近的应力场。为了在奇点附近获得准确的应力场,所提出的算法确定裂纹尖端周围始终存在固定数量的节点和单元。为了验证算法的准确性,分析了三个基准测试,并将解决方案与文献中可用的结果进行了比较。据观察,所提出的技术允许在传播过程中保持网格规则,显着减少扭曲单元的数量,这解决了使用有限元法 (FEM) 模拟裂纹扩展时的主要问题之一。此外,获得的结果可以理解,该算法通常会导致准确的裂纹路径。
更新日期:2020-07-13
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