Extended finite element method for three-dimensional crack modelling
Extended finite element method for three-dimensional crack modelling
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DOI：
10.1002/1097-0207(20000820)48:11
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发表时间：
2000-08-20
影响因子：
2.9
通讯作者：
Belytschko, T
中科院分区：
文献类型：
--
作者：
Sukumar, N;Moës, N;Belytschko, T
本文介绍了一种三维裂纹模拟的扩展有限元法（X-FEM）。一个不连续的功能和二维渐近裂纹尖端位移场被添加到有限元近似帐户的裂纹使用单位分割的概念。这使得域被建模的有限元裂纹表面没有明确的网格。与裂纹的代表性和丰富的有限元近似的计算几何问题进行了讨论。给出了平面三维裂纹的应力强度因子，与基准解吻合较好。版权所有（C）2000约翰威利父子有限公司
An extended finite element method (X-FEM) for three-dimensional crack modelling is described. A discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the finite element approximation to account for the crack using the notion of partition of unity. This enables the domain to be modelled by finite elements with no explicit meshing of the crack surfaces. Computational geometry issues associated with the representation of the crack and the enrichment of the finite element approximation are discussed. Stress intensity factors (SIFs) for planar three-dimensional cracks are presented, which are found to be in good agreement with benchmark solutions. Copyright (C) 2000 John Wiley & Sons, Ltd.