Reference : A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/34875
A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis
English
Vu-Bac, N. [Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15, D-99423 Weimar, Germany]
Nguyen-Xuan, H. [Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam]
Chen, L. [Center for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore, Singapore]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Kerfriden, P. [School of Engineering, Institute of Theoretical, Cardiff University, United Kingdom]
Simpson, R. N. [School of Engineering, Institute of Theoretical, Cardiff University, United Kingdom]
Liu, G. R. [University of Cincinnati, Cincinnati, OH 45221-0070, United States]
Rabczuk, T. [Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15, D-99423 Weimar, Germany]
2011
Computer Modeling in Engineering & Sciences
73
4
331-355
Yes
International
15261492
[en] Convergence rate ; Extended finite element method ; Fracture analysis ; Node-based smoothed finite element method ; Numerical method ; Stress intensity factor (SIF) ; Convergence rates ; Node-based smoothed finite element methods ; Stress intensity ; Convergence of numerical methods ; Crack tips ; Cracks ; Elasticity ; Fracture ; Integration ; Stiffness matrix ; Stress intensity factors ; Finite element method
[en] This paper aims to incorporate the node-based smoothed finite element method (NS-FEM) into the extended finite element method (XFEM) to form a novel numerical method (NS-XFEM) for analyzing fracture problems of 2D elasticity. NS-FEM uses the strain smoothing technique over the smoothing domains associated with nodes to compute the system stiffness matrix, which leads to the line integrations using directly the shape function values along the boundaries of the smoothing domains. As a result, we avoid integration of the stress singularity at the crack tip. It is not necessary to divide elements cut by cracks when we replace interior integration by boundary integration, simplifying integration of the discontinuous approximation. The key advantage of the NS-XFEM is that it provides more accurate solutions compared to the XFEM-T3 element. We will show for two numerical examples that the NS-XFEM significantly improves the results in the energy norm and the stress intensity factors. For the examples studied, we obtain super-convergent results.
Vietnam National Foundation for Science and Technology Development (NAFOSTED)
http://hdl.handle.net/10993/34875
10.3970/cmes.2011.073.331

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