ORBi: Nguyen Van Dung - Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation

Reference : Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation


	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/2268/100283

Title :	Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation
Language :	English
Author, co-author :	Nguyen, Van Dung [Université de Liège - ULg > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
	Béchet, Eric [Université de Liège - ULg > Département d'aérospatiale et mécanique > Conception géométrique assistée par ordinateur >]
	Geuzaine, Christophe [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
	Noels, Ludovic [Université de Liège - ULg > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Publication date :	Apr-2012
Journal title :	Computational Materials Science
Publisher :	Elsevier Science
Volume :	55
Pages :	390-406
Audience :	International
ISSN :	0927-0256
City :	Amsterdam
Country :	The Netherlands
Keywords :	[en] Polynomial interpolation ; Periodic condition ; FEM ; Computational homogenization ; Heterogeneous materials
Abstract :	[en] In order to predict the effective properties of heterogeneous materials using the finite element approach, a boundary value problem (BVP) may be defined on a representative volume element (RVE) with appropriate boundary conditions, among which periodic boundary condition is the most efficient in terms of convergence rate. The classical method to impose the periodic boundary condition requires the identical meshes on opposite RVE boundaries. This condition is not always easy to satisfy for arbitrary meshes. This work develops a new method based on polynomial interpolation that avoids the need of matching mesh condition on opposite RVE boundaries.
Funders :	Les recherches ont été financées grâce à la subvention ”Actions de recherche concertées ARC 09/14-02 BRIDGING - From imaging to geometrical modelling of complex micro structured materials: Bridging computational engineering and material science” de la Direction générale de l’Enseignement non obligatoire de la Recherche scientifique, Direction de la Recherche scientifique, Communauté française de Belgique, et octroyées par l’Académie Universitaire Wallonie-Europe.
Name of the research project :	ARC 09/14-02 BRIDGING - From imaging to geometrical modelling of complex micro structured materials: Bridging computational engineering and material science
Permalink :	http://hdl.handle.net/2268/100283
DOI :	10.1016/j.commatsci.2011.10.017
Other URL :	http://dx.doi.org/10.1016/j.commatsci.2011.10.017
Mentions required by the publisher for OA :	NOTICE: this is the author's version of a work that was accepted for publication in Computational Materials Science. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computational Materials Science, [VOL 55, 2012],

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	File	Commentary	Version	Size	Access
Open access	2012_COMMAT_PBC.pdf	(c) Computational Materials Science	Author postprint	3.58 MB	View/Open

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Open access	2011_ACOMEN_PBC.pdf	Slide at Acomen 2011	-	2.19 MB	View/Open

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