Reference : The smoothed extended finite element method

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a journal
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/15333

Title :	The smoothed extended finite element method
Language :	English
Author, co-author :	Natarajan, S. [GE-Aviation, India Technology Center, Bangalore, India]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Minh, Q. D. [Division of Computational Mechanics, Department of Mathematics and Informatics, University of Natural Sciences - VNU-HCM, Viet Nam]
	Nguyen, H. X. [Division of Computational Mechanics, Department of Mathematics and Informatics, University of Natural Sciences - VNU-HCM, Viet Nam]
	Rabczuk, T. [Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand]
	Cahill, L. [Department of Mechanical Engineering, University of Limerick, Ireland]
	McCarthy, C. [Department of Mechanical Engineering, Materials and Surface Science Institute, University of Limerick, Ireland]
Publication date :	2008
Journal title :	Proceedings of the 6th International Conference on Engineering Computational Technology
Peer reviewed :	Yes
Audience :	International
Event name :	6th International Conference on Engineering Computational Technology, ECT 2008
Event date :	2 September 2008 through 5 September 2008
Event place (city) :	Athens
Keywords :	[en] Cracks without remeshing ; Extended finite element method ; Fracture mechanics ; Partition of unity methods ; Smoothed finite element method ; Strain smoothing ; Arbitrary shape ; Finite Element ; Linear elastic fracture mechanics ; Numerical results ; Remeshing ; Shape functions ; Smoothing techniques ; Brittle fracture ; Cracks ; Finite element method ; Crack propagation
Abstract :	[en] This paper shows how the strain smoothing technique recently proposed by G.R.Liu [1] coined as smoothed finite element method (SFEM) can be coupled to partition of unity methods, namely extended finite element method (XFEM) [2] to give birth to the smoothed extended finite element method (SmXFEM), which shares properties both with the SFEM and the XFEM. The proposed method suppresses the need to compute and integrate the derivatives of shape functions (which are singular at the tip in linear elastic fracture mechanics). Additionally, integration is performed along the boundary of the finite elements or smoothing cells and no isoparametric mapping is required, which allows elements of arbitrary shape. We present numerical results for cracks in linear elastic fracture mechanics problems. The method is verified on several examples and comparisons are made to the conventional XFEM. © 2008 Civil-Comp Press.
Permalink :	http://hdl.handle.net/10993/15333
Commentary :	89032 9781905088249

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