A Phantom-Node Method with Edge-Based Strain Smoothing for Linear Elastic Fracture Mechanics

被引:105
|
作者
Vu-Bac, N. [1 ,2 ]
Nguyen-Xuan, H. [3 ]
Chen, L. [4 ]
Lee, C. K. [5 ]
Zi, G. [6 ]
Zhuang, X. [1 ]
Liu, G. R. [7 ]
Rabczuk, T. [2 ,8 ]
机构
[1] Tongji Univ, Dept Geotech Engn, Shanghai 200092, Peoples R China
[2] Bauhaus Univ Weimar, Inst Struct Mech, D-99423 Weimar, Germany
[3] Ton Duc Thang Univ, Div Computat Mech, Ho Chi Minh City 70000, Vietnam
[4] Queensland Univ Technol, Sch Chem Phys & Mech Engn, Brisbane, Qld 4001, Australia
[5] Cardiff Univ, Inst Mech & Adv Mat, Sch Engn, Cardiff CF24 3AA, S Glam, Wales
[6] Korea Univ, Dept Civil Environm & Architectural Engn, Seoul 136701, South Korea
[7] Univ Cincinnati, Cincinnati, OH 45221 USA
[8] Korea Univ, Sch Civil Environm & Architectural Engn, Seoul 136701, South Korea
关键词
FINITE-ELEMENT-METHOD; X-FEM; CRACK-GROWTH; WEAK DISCONTINUITIES; COHESIVE CRACKS; SOLID MECHANICS; METHOD SFEM; PROPAGATION; SIMULATION; XFEM;
D O I
10.1155/2013/978026
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents a novel numerical procedure based on the combination of an edge-based smoothed finite element (ES-FEM) with a phantom-node method for 2D linear elastic fracture mechanics. In the standard phantom-node method, the cracks are formulated by adding phantom nodes, and the cracked element is replaced by two new superimposed elements. This approach is quite simple to implement into existing explicit finite element programs. The shape functions associated with discontinuous elements are similar to those of the standard finite elements, which leads to certain simplification with implementing in the existing codes. The phantom-node method allows modeling discontinuities at an arbitrary location in the mesh. The ES-FEM model owns a close-to-exact stiffness that is much softer than lower-order finite element methods (FEM). Taking advantage of both the ES-FEM and the phantom-node method, we introduce an edge-based strain smoothing technique for the phantom-node method. Numerical results show that the proposed method achieves high accuracy compared with the extended finite element method (XFEM) and other reference solutions.
引用
收藏
页数:12
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