Reference : An Adaptive Multiscale Method for Quasi-static Crack Growth

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/11890

Title :	An Adaptive Multiscale Method for Quasi-static Crack Growth
Language :	English
Author, co-author :	Pattabhi, Budarapu [Bauhaus Univesity of Weimar, > Institute of Structural Mechanics]
	Robert, Gracie [University of Waterloo > Department of Civil and Environmental Engineering]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Timon, Rabczuk [> >]
Publication date :	2013
Journal title :	Computational Mechanics
Publisher :	Springer Science & Business Media B.V.
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	0178-7675
City :	New York
Country :	NY
Keywords :	[en] multiscale ; adaptivity ; refinement
Abstract :	[en] This paper proposes an adaptive atomistic-continuum numerical method for quasi-static <br />crack growth. The phantom node method is used to model the crack in the continuum region <br />and a molecular statics model is used near the crack tip. To ensure self-consistency in the bulk, <br />a virtual atom cluster is used to model the material of the coarse scale. The coupling between <br />the coarse scale and ne scale is realized through ghost atoms. The ghost atom positions are <br />interpolated from the coarse scale solution and enforced as boundary conditions on the ne <br />scale. The ne scale region is adaptively enlarged as the crack propagates and the region behind <br />the crack tip is adaptively coarsened. An energy criterion is used to detect the crack tip loca- <br />tion. The triangular lattice in the ne scale region corresponds to the lattice structure of the <br />(111) plane of an FCC crystal. The Lennard-Jones potential is used to model the atom-atom <br />interactions. The method is implemented in two dimensions. The results are compared to pure <br />atomistic simulations; they show excellent agreement.
Target :	Researchers ; Professionals ; Students ; Others
Permalink :	http://hdl.handle.net/10993/11890
DOI :	10.1007/s00466-013-0952-6
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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