Modelling crack growth by level sets in the extended finite element method
Modelling crack growth by level sets in the extended finite element method
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DOI：
10.1002/nme.201
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发表时间：
2001-07-20
影响因子：
2.9
通讯作者：
Belytschko, T
中科院分区：
文献类型：
--
作者：
Stolarska, M;Chopp, DL;Belytschko, T
描述了一种将水平集方法(LSM)和扩展有限元方法(X-FE)相结合来模拟裂纹扩展的算法。用水平集方法表示裂纹的位置，包括裂纹尖端的位置。扩展有限元方法用于计算确定裂纹扩展速率所需的应力场和位移场。这种结合的方法不需要随着裂纹的发展而重新划分网格，使得算法非常有效。这些方法的结合具有广泛应用的巨大潜力。最后给出了数值算例，验证了组合方法的准确性。版权所有(C)2001 John Wiley&Sons，Ltd.
An algorithm which couples the level set method (LSM)with the extended finite element method (X-FEM) to model crack growth is described. The level set method is used to represent the crack location, including the location of crack tips. The extended finite element method is used to compute the stress and displacement fields necessary for determining the rate of crack growth. This combined method requires no remeshing as the crack progresses, making the algorithm very efficient. The combination of these methods has a tremendous potential for a wide range of applications. Numerical examples are presented to demonstrate the accuracy of the combined methods. Copyright (C) 2001 John Wiley & Sons, Ltd.