Reversible magneto-elastic behavior: A multiscale approach

Journal of the Mechanics and Physics of Solids

Volumn 56, Issue 3, 2008, Pages 1018-1042

  Daniel, Laurent ^a   Hubert, Olivier ^b   Buiron, Nicolas ^c   Billardon, René ^b  

^a UNIV PARIS SUD   (France)

^b Grande Voie des Vignes   (France)

^c UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

Magneto elastic couplings; Magnetostriction; Multiscale modeling; Polycrystal; Single crystal

Indexed keywords

COMPUTER SIMULATION; HOMOGENIZATION METHOD; MAGNETIC FIELDS; MAGNETOSTRICTION; MICROSTRUCTURE; POLYCRYSTALLINE MATERIALS; SINGLE CRYSTALS;

MAGNETO-ELASTIC COUPLINGS; MULTISCALE MODELING;

FERROMAGNETIC MATERIALS;

EID: 39049126907     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2007.06.003     Document Type: Article

References (39)

1. Appino C., Durin G., Basso V., Beatrice C., Pasquale M., and Bertotti G. Effect of stress anisotropy on hysteresis and Barkhausen noise in amorphous materials. J. Appl. Phys. 85 8 (1999) 4412-4414
2. Azoum K., Besbes M., and Bouillault F. Three dimensional finite element model of magnetostriction phenomena using coupled constitutive laws. Int. J. Appl. Electromagn. Mech. 19 (2004) 367-371
3. Bernard Y., and Ossart F. Comparison between two models of magnetic hysteresis accounting for stress. Int. J. Appl. Electromagn. Mech. 19 (2004) 551-556
4. Berveiller M., and Zaoui A. An extension of the self-consistent scheme to plastically-flowing polycrystals. J. Mech. Phys. Solids 26 5-6 (1978) 325-344
5. Bornert M., Bretheau T., and Gilormini P. Homogenization in Mechanics of Material (2007), Iste Publishing Company
6. Bozorth R.M. Ferromagnetism (1951), Van Nostrand, Princeton, NJ
7. Bruggeman D.A.G. Berechnung verschiedener physikalischer konstanten von heterogenen substanzen. Annalen der Physik 5 24 (1935) 636-664
8. Buiron, N., 2000. Modélisation multi-échelle du comportement magnéto-mécanique couplé des matériaux ferromagnétiques doux. PhD Thesis, Ecole Normale Supérieure de Cachan, France.
9. Buiron N., Hirsinger L., and Billardon R. A multiscale model for magneto-elastic couplings. J. Phys. IV 9 (1999) 139-141
10. Chikazumi S. Physics of Ferromagnetism. second ed (1997), Clarendon Press, Oxford
11. Cullity B.D. Introduction to Magnetic Materials (1972), Addison-Wesley Publishing Company, London
12. Daniel L., Hubert O., Ossart F., and Billardon R. Experimental analysis and multiscale modelling of the anisotropic mechanical and magnetostrictive behaviours of electrical steels. J. Phys. IV 105 (2003) 247-253
13. Daniel L., Hubert O., and Billardon R. Multiscale modelling of the magnetostrictive behaviour of electrical steels-demagnetising surface effect and texture gradient. Int. J. Appl. Electromagn. Mech. 19 (2004) 293-297
14. Daniel L., Hubert O., and Vieille B. Multiscale strategy for the determination of magneto-elastic behaviour: discussion and application to Ni-Zn ferrites. Int. J. Appl. Electromagn. Mech. 25 (2007) 31-36
15. DeSimone A. Energy minimizers for large ferromagnetic bodies. Arch. Ration. Mech. Anal. 125 (1993) 99-143
16. DeSimone A., and James R.D. A constrained theory of magnetoelasticity. J. Mech. Phys. Solids 50 (2002) 283-320
17. DeSimone A., Kohn R.V., Müller S., and Otto F. Magnetic microstructures-a paradigm of multiscale problems. In: Ball J.M., and Hunt J.C.R. (Eds). ICIAM 99 (2000), Oxford University Press, Oxford 175-190
18. Du Trémolet de Lacheisserie E. Magnetostriction-Theory and Applications of Magnetoelasticity (1993), CRC Press, Boca Raton
19. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. London A 421 (1957) 376
20. Gilormini P. Insuffisance de l'extension classique du modèle autocohérent au comportement non linéaire. C. R. Acad. Sci. Paris, Série IIb 320 (1995) 115-122
21. Haug A., Huber J.E., Onck P.R., and Van der Giessen E. Multi-grain analysis versus self-consistent estimates of ferroelectric polycrystals. J. Mech. Phys. Solids 55 3 (2007) 648-665
22. He, S., 1999. Modélisation et simulation numérique de matériaux magnétostrictifs. PhD Thesis, Université Pierre et Marie Curie, France.
23. Hill R. Continuum micro-mechanics of elastoplastic polycrystals. J. Mech. Phys. Solids 13 (1965) 89-101
24. Hirsinger L., Barbier G., Gourdin C., and Billardon R. Application of the internal variable formalism to the modelling of magneto-elasticity. In: Yang J.S., and Maugin G.A. (Eds). Mechanics of Electromagnetic Materials and Structures (2000), IOS Press 54-67
25. Huber J.E., Fleck N.A., Landis C.M., and McMeeking R.M. A constitutive model for ferroelectric polycrystals. J. Mech. Phys. Solids 47 8 (1999) 1663-1697
26. Hubert A., and Schäfer R. Magnetic Domains (1998), Springer, Berlin
27. Hubert, O., Daniel, L., Billardon, R., 2003. Multiscale modelling and demagnetising surface effect: application to the prediction of magnetostriction of Grain Oriented silicon irons. In: Proceedings of the 16th Soft Magnetic Materials Conference.
28. James R., and Kinderlehrer D. Frustration in ferromagnetic materials. Cont. Mech. Therm. 2 (1990) 215-239
29. Jiles D.C. Introduction to Magnetism and Magnetic Materials (1991), Chapman & Hall, London
30. Joule J.P. On the effects of magnetism upon the dimensions of iron and steel bars. Philos. Mag. Sér. 3 30 199 (1847) 76-87
31. Kuruzar M.E., and Cullity B.D. The magnetostriction of iron under tensile and compressive tests. Int. J. Magn. 1 (1971) 323-325
32. Lagoudas D.C., Entchev P.B., Popov P., Patoor E., Brinson L.C., and Gao X. Shape memory alloys, part II: modeling of polycrystals. Mech. Mater. 38 5-6 (2006) 430-462
33. McClintock F.A., and Argon A.S. Mechanical Behavior of Materials (1966), Addison-Wesley, New York
34. Mura T. Micromechanics of Defects in Solids (1982), Martinus Nijhoff Publishers, Dordrecht, MA
35. Patoor E., Lagoudas D.C., Entchev P.B., Brinson L.C., and Gao X. Shape memory alloys, part I: general properties and modeling of single crystals. Mech. Mater. 38 5-6 (2006) 391-429
36. Sablik M.J., and Jiles D.C. Coupled magnetoelastic theory of magnetic and magnetostrictive hysteresis. IEEE Trans. Magn. 29 3 (1993) 2113-2123
37. Vieille B., Buiron N., Pellegrini Y.P., and Billardon R. Modelling of the magnetoelastic behaviour of a polycrystalline ferrimagnetic material. J. Phys. IV 115 (2004) 129
38. Webster W.L. The magnetic properties of iron crystals. Proc. R. Soc. London 107A (1925) 496-509
39. Webster W.L. Magnetostriction in iron crystals. Proc. R. Soc. London 109A (1925) 570-584