A simple method for crack growth in mixed mode with X-FEM

被引：42
|
作者：
Geniaut, Samuel [1 ,2 ]
Galenne, Erwan [2 ]
机构：
[1] EDF CNRS, UMR 2832, Lab Mech Ageing Ind Struct LaMSID, F-92141 Clamart, France
[2] EDF R&D, F-92141 Clamart, France
来源：
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2012年 / 49卷 / 15-16期
关键词：
Fracture mechanics; Crack; Fatigue; Propagation; Level set update; X-FEM; Extended finite element method; Industrial structures; EXTENDED FINITE-ELEMENT; LEVEL SETS; HAMILTON-JACOBI; PROPAGATION; SIMULATION; FRACTURE;
D O I：
10.1016/j.ijsolstr.2012.04.015
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this paper, a new method for level set update is proposed, in the context of crack propagation modeling with the extended finite element method (X-FEM) and level sets. Compared with the existing methods, such as the resolution of the Hamilton-Jacobi equations, this new method is much simpler because it does not required complex manipulations of the level sets. This method, called the "projection" method, uses both a classical discretization of the surface of the crack (segments for 2d cracks and triangles for 3d cracks) and a level set representation of the crack. This discretization is updated with respect to the position of the new crack front. Then the level sets are re-computed using the true distance to the new crack, by an orthogonal projection of each node of the structure onto the new crack surface. Then, numerical illustrations are given on 2d and 3d academic examples. Finally, three illustrations are given on 3d industrial applications. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2094 / 2106
页数：13
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