Article (Scientific journals)
Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation
Nguyen, Van Dung; Béchet, Eric; Geuzaine, Christophe et al.
2012In Computational Materials Science, 55, p. 390-406
Peer Reviewed verified by ORBi
 

Files


Full Text
2012_COMMAT_PBC.pdf
Author postprint (3.66 MB)
(c) Computational Materials Science
Download
Annexes
2011_ACOMEN_PBC.pdf
Publisher postprint (2.24 MB)
Slide at Acomen 2011
Download

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],


All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
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.
Research center :
Computational & Multiscale Mechanics of Materials
Disciplines :
Mechanical engineering
Materials science & engineering
Author, co-author :
Nguyen, Van Dung  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Béchet, Eric ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Conception géométrique assistée par ordinateur
Geuzaine, Christophe  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Noels, Ludovic  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Language :
English
Title :
Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation
Publication date :
April 2012
Journal title :
Computational Materials Science
ISSN :
0927-0256
Publisher :
Elsevier Science, Amsterdam, Netherlands
Volume :
55
Pages :
390-406
Peer reviewed :
Peer Reviewed verified by ORBi
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
Funders :
Communauté française de Belgique : Direction Générale de l'Enseignement Non Obligatoire et de la Recherche Scientifique - DGENORS
Available on ORBi :
since 17 October 2011

Statistics


Number of views
1052 (355 by ULiège)
Number of downloads
7832 (96 by ULiège)

Scopus citations®
 
201
Scopus citations®
without self-citations
183
OpenCitations
 
165

Bibliography


Similar publications



Contact ORBi