An energy-based variational model of ferromagnetic hysteresis for finite element computations

被引：32

作者：

Francois-Lavet, V. ^{[1
]}

Henrotte, F. ^{[2
]}

Stainier, L. ^{[3
]}

Noels, L. ^{[4
]}

Geuzaine, C. ^{[1
]}

机构：

[1] Univ Liege, Dept Elect Engn & Comp Sci, Montefiore Inst B28, B-4000 Liege, Belgium

[2] Catholic Univ Louvain, iMMC, B-1348 Louvain, Belgium

[3] Ecole Cent Nantes, GeM, F-44321 Nantes 3, France

[4] Univ Liege, LTAS MCT B52, B-4000 Liege, Belgium

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2013年 / 246卷

关键词：

Magnetic hysteresis; Variational formulations; Finite element methods;

D O I：

10.1016/j.cam.2012.06.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：243 / 250

页数：8

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