Arbitrary branched and intersecting cracks with the eXtended Finite Element Method
Arbitrary branched and intersecting cracks with the eXtended Finite Element Method
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DOI：
10.1002/1097-0207(20000830)48:12
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发表时间：
2000-08
影响因子：
2.9
通讯作者：
Christophe Daux;J. Dolbow;N. Sukumar;T. Belytschko
中科院分区：
文献类型：
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作者：
Christophe Daux;J. Dolbow;N. Sukumar;T. Belytschko
本文介绍了一种新的多分支裂纹、多孔裂纹和孔源裂纹有限元模拟方法的推广。这种扩展的有限元法（X-FEM）允许裂纹不连续性和空隙的表示独立的网格。一个标准的基于位移的近似是丰富的不连续elds通过分区的统一方法。提出了一种基于不连续几何特征与网格的相互作用来构造丰富近似的方法。计算的应力强度因子（SIF）在dierent的例子，包括分支和交叉裂纹以及从孔中发出的裂纹，以证明所提出的技术的准确性和鲁棒性。版权所有？2000年约翰威利父子有限公司
SUMMARY Extensions of a new technique for the nite element modelling of cracks with multiple branches, multiple holes and cracks emanating from holes are presented. This extended nite element method (X-FEM) allows the representation of crack discontinuities and voids independently of the mesh. A standard displacementbased approximation is enriched by incorporating discontinuous elds through a partition of unity method. A methodology that constructs the enriched approximation based on the interaction of the discontinuous geometric features with the mesh is developed. Computation of the stress intensity factors (SIF) in dierent examples involving branched and intersecting cracks as well as cracks emanating from holes are presented to demonstrate the accuracy and the robustness of the proposed technique. Copyright ? 2000 John Wiley & Sons, Ltd.