Reference : Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
Engineering, computing & technology : Materials science & engineering
http://hdl.handle.net/2268/100283
Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation
English
Nguyen, Van Dung mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Béchet, Eric mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Conception géométrique assistée par ordinateur >]
Geuzaine, Christophe mailto [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
Noels, Ludovic mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Apr-2012
Computational Materials Science
Elsevier Science
55
390-406
Yes
International
0927-0256
Amsterdam
The Netherlands
[en] Polynomial interpolation ; Periodic condition ; FEM ; Computational homogenization ; Heterogeneous materials
[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.
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.
ARC 09/14-02 BRIDGING - From imaging to geometrical modelling of complex micro structured materials: Bridging computational engineering and material science
http://hdl.handle.net/2268/100283
10.1016/j.commatsci.2011.10.017
http://dx.doi.org/10.1016/j.commatsci.2011.10.017
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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