Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment
Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment
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DOI：
10.1016/j.engfracmech.2007.05.010
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发表时间：
2008-03
影响因子：
5.4
通讯作者：
S. Bordas;T. Rabczuk;G. Zi
中科院分区：
文献类型：
--
作者：
S. Bordas;T. Rabczuk;G. Zi
本文提出了一种用于静态和动态分析的三维、非本质富集无网格方法，用于研究包括大变形在内的非线性固体中任意数量裂纹的萌生、分支、生长和合并。该方法的新奇在于，只需要一个外在的不连续的富集和没有近尖端富集。相反，拉格朗日乘子字段添加沿着裂纹前沿关闭裂纹。这降低了计算成本并消除了涉及分支富集的困难。将结果与实验数据和文献中的其他模拟进行比较，以显示该方法的鲁棒性和准确性。
This paper presents a three-dimensional, extrinsically enriched meshfree method for initiation, branching, growth and coalescence of an arbitrary number of cracks in non-linear solids including large deformations, for statics and dynamics. The novelty of the methodology is that only an extrinsic discontinuous enrichment and no near-tip enrichment is required. Instead, a Lagrange multiplier field is added along the crack front to close the crack. This decreases the computational cost and removes difficulties involved with a branch enrichment. The results are compared to experimental data, and other simulations from the literature to show the robustness and accuracy of the method.