Article (Scientific journals)
An Energy-Based Variational Model of Ferromagnetic Hysteresis for Finite Element Computations
François-Lavet, Vincent; Henrotte, François; Stainier, Laurent et al.
2013In Journal of Computational and Applied Mathematics, 246, p. 243–250
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NOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. 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 Jounal of COmputational and Applied Mathematics, Vol. 246, pages 243-250, 2013, DOI: 10.1016/j.cam.2012.06.007


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Keywords :
Magnetic hysteresis; Variational formulations; Finite Element Methods
Abstract :
[en] This paper proposes a macroscopic model for ferromagnetic hysteresis that is well-suited for finite element implementation. The model is readily vectorial and relies on a consistent thermodynamic formulation. In particular, the stored magnetic energy and the dissipated energy are known at all times, and not solely after the completion of closed hysteresis loops as is usually the case. The obtained incremental formulation is variationally consistent, i.e., all internal variables follow from the minimization of a thermodynamic potential.
Research center :
Computational & Multiscale Mechanics of Materials
Disciplines :
Materials science & engineering
Electrical & electronics engineering
Author, co-author :
François-Lavet, Vincent ;  Université de Liège - ULiège > Department of Electrical Engineering and Computer Science
Henrotte, François;  Université Catholique de Louvain - UCL > iMMC
Stainier, Laurent ;  Ecole Centrale de Nantes > GeM
Noels, Ludovic  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Geuzaine, Christophe  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Language :
English
Title :
An Energy-Based Variational Model of Ferromagnetic Hysteresis for Finite Element Computations
Publication date :
July 2013
Journal title :
Journal of Computational and Applied Mathematics
ISSN :
0377-0427
eISSN :
1879-1778
Publisher :
Elsevier Science, Amsterdam, Netherlands
Special issue title :
Fifth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011)
Volume :
246
Pages :
243–250
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
BELSPO - SPP Politique scientifique - Service Public Fédéral de Programmation Politique scientifique
Belgian French Community (ARC 09/14-02)
Walloon Region (WIST3 No 1017086 ONELAB)
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