An extended finite element method for modeling crack growth with frictional contact
An extended finite element method for modeling crack growth with frictional contact
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DOI：
10.1016/s0045-7825(01)00260-2
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发表时间：
2001-01-01
影响因子：
7.2
通讯作者：
Belytschko, T
中科院分区：
文献类型：
--
作者：
Dolbow, J;Moës, N;Belytschko, T
本文提出了一种新的裂纹面摩擦接触扩展有限元模拟方法。扩展有限元法（X-FEM）被用来离散方程，允许其几何形状是独立的有限元网格的裂纹的建模。这种方法极大地方便了增长裂纹的模拟，因为不需要重新划分网格的域。描述摩擦接触的条件被公式化为由裂纹面形成的界面上的非光滑本构律，并且在LATIN方法[非线性计算结构力学，Springer，纽约，1998]中实施的迭代方案被应用于解决非线性边值问题。的迭代策略和X-FEM的基本特征进行审查，并提出必要的修改，以整合界面上的本构关系。几个基准问题的解决，以说明该方法的鲁棒性，并检查收敛性。然后，该方法被应用到模拟裂纹扩展时，有摩擦接触的裂纹面，并将结果进行了比较，分析和实验结果。(C)2001 Elsevier Science B. V.保留所有权利。
A new technique for the finite element modeling of crack growth with frictional contact on the crack faces is presented. The extended Finite Element Method (X-FEM) is used to discretize the equations, allowing for the modeling of cracks whose geometry are independent of the finite element mesh. This method greatly facilitates the simulation of a growing crack, as no remeshing of the domain is required. The conditions which describe frictional contact are formulated as a non-smooth constitutive law on the interface formed by the crack faces, and the iterative scheme implemented in the LATIN method [Nonlinear Computational Structural Mechanics, Springer, New York, 1998] is applied to resolve the nonlinear boundary value problem. The essential features of the iterative strategy and the X-FEM are reviewed, and the modifications necessary to integrate the constitutive law on the interface are presented. Several benchmark problems are solved to illustrate the robustness of the method and to examine convergence. The method is then applied to simulate crack growth when there is frictional contact on the crack faces, and the results are compared to both analytical and experimental results. (C) 2001 Elsevier Science B.V. All rights reserved.