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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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.
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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Bibliography
G. Bertotti Hysteresis in Magnetism 1998 Academic Press
I. Mayergoyz Mathematical Models of Hysteresis and their Applications: Second Edition 2003 Academic Press
D.C. Jiles, and D.L. Atherton Theory of ferromagnetic hysteresis Journal of Magnetism and Magnetic Materials 1986 North-Holland, Amsterdam
A. Benabou, S. Clenet, and F. Piriou Comparison of Preisach and Jiles-Atherton models to take into account hysteresis phenomenon for finite element analysis Journal of Magnetism and Magnetic Materials 2003
Ben van de Wiele Energy considerations in a micromagnetic hysteresis model and the Preisach model Journal of Applied Physics 108 2010 103902 10.1063/1.3505779
G. Bertotti Connection between microstructure and magnetic properties of soft magnetic materials Journal of Magnetism and Magnetic Materials 320 2008 2436 2442
T. Matsuo, and M. Shimasaki Two types of isotropic vector play models and their rotational hysteresis losses IEEE Transactions on Magnetics 44 6 2008 898 901
A. Bergqvist Magnetic vector hysteresis model with dry friction-like pinning Physica B 233 1997
F. Henrotte, A. Nicolet, K. Hameyer, An energy-based vector hysteresis model for ferromagnetic model, Selected Papers from the EPNC'2004 Symp., Poznan, Poland, June 28-30, 2004.
F. Henrotte, and K. Hameyer A dynamical vector hysteresis based on an energy approach IEEE Transactions on Magnetics 42 4 2006
A.M. Puzrin, and G.T. Houlsby Fundamentals of kinematic hardening hyperplasticity International Journal of Solids and Structures 38 2001 3771 3794
A.M. Puzrin, and G.T. Houlsby A thermomechanical framework for constitutive models for rate-independent dissipative materials International Journal of Plasticity 16 2001 1017 1047
M. Ortiz, and L. Stainier The variational formulation of viscoplastic constitutive updates Computer Methods in Applied Mechanics and Engineering 171 1999 419 444
N. Ida, and J.P.A. Bastos Electromagnetics and Calculation of Fields 1992 Springer
P. Dular, C. Geuzaine, F. Henrotte, and W. Legros A general environment for the treatment of discrete problems and its application to the finite element method IEEE Transactions on Magnetics 34 5 1998 3395 3398
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