Reference : Three-dimensional crack initiation, propagation, branching and junction in non-linear...

	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/10993/34913

Title :	Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment
Language :	English
Author, co-author :	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Rabczuk, Timon [Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand]
	Zi, Goangseup [Department of Civil and Environmental Engineering, Korea University, 5 Ga 1, An-Am Dong, Sung-Buk Gu, Seoul 136-701, South Korea]
Publication date :	2008
Journal title :	Engineering Fracture Mechanics
Volume :	75
Issue/season :	5
Pages :	943-960
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	00137944
Keywords :	[en] Cohesive cracks ; Discontinuous enrichment ; Dynamic fracture ; Extended element free Galerkin method (XEFG) ; High velocity impact ; Lagrange multipliers ; Large deformations ; Coalescence ; Computer simulation ; Crack propagation ; Crack tips ; Deformation ; Galerkin methods ; Robustness (control systems) ; Extended meshfree method ; Non-linear solids ; Crack initiation ; Coalescence ; Computer simulation ; Crack initiation ; Crack propagation ; Crack tips ; Deformation ; Galerkin methods ; Robustness (control systems)
Abstract :	[en] This paper presents a three-dimensional, extrinsically enriched meshfree method for initiation, branching, growth and coalescence of an arbitrary number of cracks in non-linear solids including large deformations, for statics and dynamics. The novelty of the methodology is that only an extrinsic discontinuous enrichment and no near-tip enrichment is required. Instead, a Lagrange multiplier field is added along the crack front to close the crack. This decreases the computational cost and removes difficulties involved with a branch enrichment. The results are compared to experimental data, and other simulations from the literature to show the robustness and accuracy of the method.
Funders :	Agency for Defense Development (ADD) grant ADD-06-05-06.
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/34913
DOI :	10.1016/j.engfracmech.2007.05.010

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