Reference : XLME interpolants, a seamless bridge between XFEM and enriched meshless methods

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/10965

Title :	XLME interpolants, a seamless bridge between XFEM and enriched meshless methods
Language :	English
Author, co-author :	Amiri, F. [Institute of Structural Mechanics, Bauhaus University Weimar, Marienstr. 15, Weimar, 99423, Germany]
	Anitescu, C. [Institute of Structural Mechanics, Bauhaus University Weimar, Marienstr. 15, Weimar, 99423, Germany]
	Arroyo, M. [Departament de Matemática Aplicada 3, School of Civil Engineering of Barcelona (ETSECCPB), Universitat Politécnica de Catalunya, Barcelona, Spain]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Rabczuk, T. [Institute of Structural Mechanics, Bauhaus University Weimar, Marienstr. 15, Weimar, 99423, Germany, School of Civil, Environmental and Architectural Engineering, Korea University, Seoul, South Korea]
Publication date :	2013
Journal title :	Computational Mechanics
Pages :	1-13
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	01787675
Keywords :	[en] Convex approximation ; Extrinsic enrichment ; Local maximum entropy ; Meshless methods
Abstract :	[en] In this paper, we develop a method based on local maximum entropy shape functions together with enrichment functions used in partition of unity methods to discretize problems in linear elastic fracture mechanics. We obtain improved accuracy relative to the standard extended finite element method at a comparable computational cost. In addition, we keep the advantages of the LME shape functions, such as smoothness and non-negativity. We show numerically that optimal convergence (same as in FEM) for energy norm and stress intensity factors can be obtained through the use of geometric (fixed area) enrichment with no special treatment of the nodes near the crack such as blending or shifting. © 2013 Springer-Verlag Berlin Heidelberg.
Target :	Researchers ; Professionals ; Students ; Others
Permalink :	http://hdl.handle.net/10993/10965
DOI :	10.1007/s00466-013-0891-2
Framework Programme / European Project :	FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery

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