ORBi: Becker Gauthier - A fracture framework for Euler Bernoulli beams based on a full discontinuous Galerkin formulation/extrinsic cohesive law combination

Reference : A fracture framework for Euler Bernoulli beams based on a full discontinuous Galerkin fo...


	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering Engineering, computing & technology : Materials science & engineering
	To cite this reference:	http://hdl.handle.net/2268/64724

Title :	A fracture framework for Euler Bernoulli beams based on a full discontinuous Galerkin formulation/extrinsic cohesive law combination
Language :	English
Author, co-author :	Becker, Gauthier [Université de Liège - ULg > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
	Noels, Ludovic [Université de Liège - ULg > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Publication date :	2011
Journal title :	International Journal for Numerical Methods in Engineering
Publisher :	John Wiley & Sons, Inc
Volume :	85
Issue/season :	10
Pages :	1227–1251
Peer reviewed :	Yes (verified by ORBi)
Audience :	International
ISSN :	0029-5981
City :	Chichester
Country :	United Kingdom
Keywords :	[en] Euler Bernoulli beam ; discontinuous Galerkin method ; fracture ; finite-element ; cohesive model
Abstract :	[en] A new full Discontinuous Galerkin discretization of Euler Bernoulli beam is presented. The main interest of this framework is its ability to simulate fracture problems by inserting a cohesive zone model in the formulation. With a classical Continuous Galerkin method the use of the cohesive zone model is di cult because as insert a cohesive element between bulk elements is not straightforward. On one hand if the cohesive element is inserted at the beginning of the simulation there is a modification of the structure stiffness and on the other hand inserting the cohesive element during the simulation requires modification of the mesh during computation. These drawbacks are avoided with the presented formulation as the structure is discretized in a stable and consistent way with full discontinuous elements and inserting cohesive elements during the simulation becomes straightforward. A new cohesive law based on the resultant stresses (bending moment and membrane) of the thin structure discretization is also presented. This model allows propagating fracture while avoiding through-the-thickness integration of the cohesive law. Tests are performed to show that the proposed model releases, during the fracture process, an energy quantity equal to the fracture energy for any combination of tension-bending loadings.
Funders :	Fonds pour la formation à la Recherche dans l'Industrie et dans l'Agriculture (Communauté française de Belgique) - FRIA
Target :	Researchers ; Professionals
Permalink :	http://hdl.handle.net/2268/64724
DOI :	10.1002/nme.3008
Other URL :	http://dx.doi.org/10.1002/nme.3008
Mentions required by the publisher for OA :	This is a preprint of an article accepted for publication in Int. J. Numer. Meth. Engng. Copyright (c) 2010 John Wiley & Sons, Ltd.

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	File	Commentary	Version	Size	Access
Restricted access	2010_IJNME_Beam.pdf		Author preprint	3.12 MB	Request copy

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Restricted access	2010_WCCM_BEAMS.ppt	WCCM 2010 presentation (ppt)	-	1.82 MB	Request copy
Restricted access	2010_WCCM_BEAMS.pdf	WCCM 2010 presentation (pdf)	-	2.46 MB	Request copy

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