Magneto-elastic coupled finite element analyses
Keywords:
magneto-elastic coupling, magnetic hysteresis, electromagnetic losses, magnetostrictionAbstract
The aim of this paper is to introduce a general framework to model the coupled phenomena which occur when a system of solids is subjected to thermal, magnetic and mechanical loadings. This framework constitutes the basis of the numerical methods to be developed in order to perform coupled thermo-magneto-mechanical structural analyses of electrical machines. These general concepts are illustrated by different examples.
Downloads
References
[AKI 70] AKIMA H., J. ACM, 17 (1970), 589.
[BAR 95] BARBIER G.,<< Proposition d'un modele de couplage magneto-mecanique pour les
materiaux ferromagnetiques doux >>,Rapport du DEA de Mecanique, Universite Paris VI,
LMT Cachan, 1995.
(BEN 88] BENALLAL A., BILLARDON R, DOGHRI I., "An integration algorithm and the
corresponding consistent tangent operator for fully coupled elastoplastic and damage
equations", Communications in Applied Numerical Methods, 4 ( 1988) 731-740.
[BUI 98] BUIRON N., HIRSINGER L.,BILLARDON R., "A multiscale model for magneto-elastic
couplings", J. Phys. IV France 9, (1999), Pr9-187-196.
[CHE 86] CHEN C.-W., "Magnetism and metallurgy of soft magnetic materials", Dover
Publication, New York, 1986.
(ERI 90] ERINGEN A.C. & MAUGIN G.A., Electrodynamics of continua, Springer Verlag,
(GOU 98] GOURDIN C., HIRSINGER L., BARBIER G. et BILLARDON R., "Experimental
identification of the coupling between the anhysteretic magnetic and magnetostrictive
behaviours", J. Magn. Mag. Mat., 177-181 (1998) 201-202.
[GOU 98bis] GOURDIN C., Identification et modelisation du comportement electromagnetique
de structures ferromagnetiques, These de Doctorat, Universite Paris VI, LMT-Cachan,
Janvier 1998.
[HIR 94] HIRSINGER L., Etude des deformations magneto-elastiques dans les materiaux
ferromagnetiques doux, These de doctorat de l'Universite Paris VI, decembre 1994.
(HIR 96] HIRSINGER L., BILLARDON R., "Static and dynamic 2-D magnetic analysis with an
internal variables hysteresis model", Numerical Methods in Engineering '96, 2nd
ECCOMAS Proc., Wiley, 1996, p. 318-324.
[HIR 98] HIRSINGER L., GOURDIN C., BILLARDON R., "Identification of the frequency effect
on magnetic hysteresis and modelling with an internal variables model", J. Phys. IV
France 8, (1998), Pr2-655-658.
[JIL 95] JILES D.C., "Theory of the magnetomechanical effect", J. Phys. D: Applied Physics,
(1995), 1537-1546.
(LEM 90] LEMAITRE J. & CHABOCHE J.-L., Mechanics of solid materials, Cambridge
University Press, 1990.
[MAR 90] MARECHAL Y., "Modelisation des phenomenes magnetodynamiques avec terme de
transport. Application aux ralentisseurs electromagnetiques, These de Doctorat, lnstitut
National Polytechnique de Grenoble, fevrier 1991.
[MAU 88] MAUGIN G.A., "Continuum mechanics of electromagnetic solids", North-Holland,
[MAU 91] MAUGIN G.A.; "Compatibility of magnetic hysteresis with thermodynamics", Int.
J. of Appl. Electromag. in Mat. 2, (1999), 7-19.
[OSS 99] OSSART F., HIRSINGER L., BILLARDON R., "Modelling of hysteresis losses in an
electric machine stator subjected to assembling elastic stresses", 9th ISEM, International
Symposium on Nonlinear Electromagnetic Systems, Pavia, may 10-12, 1999.
[ROU 96] ROUVE L.-L., 0SSARTF., WAECKERLE T., KEDOUS-LEBOUC A., "Magnetic flux and
losses computation in electrical laminations", IEEE Trans. Mag., Vol. 32, 5, (1996),
-4221.
[SAB 95] SABIR M., "Constitutive relations for magnetomechanical hysteresis in
ferromagnetic materials", Int. J. Engng. Sci., 33, 9 (1995) 1233-1249.