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

V. François-Lavet (1) , F. Henrotte (2) , Laurent Stainier (3) , Ludovic Noels (4) , Christophe Geuzaine (5)

1 Université de Liège
2 UCL - Université Catholique de Louvain = Catholic University of Louvain
3 GeM - Institut de Recherche en Génie Civil et Mécanique
4 LTAS - Aerospace and Mechanical Engineering Department [Liège]
5 Institut Montefiore - Département d'Electricité, Electronique & Informatique

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.

Mots clés: Finite element methods; Variational formulations; Magnetic hysteresis

Domaines: Mécanique [physics.med-ph]; Matériaux

V. François-Lavet, F. Henrotte, Laurent Stainier, Ludovic Noels, Christophe Geuzaine. An energy-based variational model of ferromagnetic hysteresis for finite element computations. Journal of Computational and Applied Mathematics, 2013, 246, pp.243-250. ⟨10.1016/j.cam.2012.06.007⟩. ⟨hal-01004989⟩