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A constitutive law for magnetostrictive materials and its application to Terfenol-D single and polycrystals

Published online by Cambridge University Press:  28 March 2008

L. Daniel*
Affiliation:
Laboratoire de Génie Électrique de Paris, CNRS UMR 8507, SUPELEC, Univ. Paris-Sud, UPMC Univ. Paris 06, 11 rue Joliot-Curie, Plateau de Moulon, 91192 Gif-sur-Yvette Cedex, France
N. Galopin
Affiliation:
Laboratoire de Génie Électrique de Paris, CNRS UMR 8507, SUPELEC, Univ. Paris-Sud, UPMC Univ. Paris 06, 11 rue Joliot-Curie, Plateau de Moulon, 91192 Gif-sur-Yvette Cedex, France
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Abstract

This paper addresses a multiscale strategy for the prediction of anhysteretic magneto-elastic behavior and its application to the definition of a magneto-elastic constitutive law for Terfenol-D. The multiscale modeling is based on an energetic procedure at the single crystal scale. Localization and homogenization procedures are then applied to deduce the constitutive law of polycrystalline media from the behavior of the corresponding single crystal. The method is applied first to define the magneto-elastic behavior of single crystals, and the application to polycrystalline samples is then considered. Modeling results are compared to experimental data.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 2008

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References

G. Engdahl, Handbook of Giant Magnetostrictive Materials (Academic Press, 2000)
Buiron, N., Hirsinger, L., Billardon, R., J. Phys. IV France 9, 187 (1999)
L. Daniel, N. Buiron, O. Hubert, R. Billardon, J. Mech. Phys. Solids, in press, available on-line: doi:10.1016/j.jmps.2007.06.003
E. du Trémolet de Lacheisseirie, Magnetostriction — Theory and applications of magnetoelasticity (CRC Press, 1993)
A. Hubert, R. Schäfer, Magnetic domains (Springer, 1998)
S. Chikazumi, Physics of Ferromagnetism, 2nd edn. (Clarendon Press, 1997)
Daniel, L., Corcolle, R., IEEE Trans. Magn. 43, 3153 (2007) CrossRef
M. Bornert, T. Bretheau, P. Gilormini, Homogenization in Mechanics of Materials (ISTE Publishing Company, 2007)
H.J. Bunge, Texture Analysis in Materials Science (Butterworths, 1982)
L. Sandlund, M. Fahlander, T. Cedell, A.E. Clark, J.B. Restorff, M. Wun-Fogle, Proc. 4th Conf. New Actuators (Bremen, Germany, 1994), pp. 210–213
D.C. Jiles, Introduction to Magnetism and Magnetic Materials (Chapman & Hall, 1991)
A.E. Clark, in Ferromagnetic Materials, edited by E.P. Wohlfarth (North-Holland Publishing Company, 1980)
Wang, B.W., Busbridge, S.C., Li, Y.X., Wu, G.H., Piercy, A.R., J. Magn. Magn. Mater. 218, 198 (2000) CrossRef
Clark, A.E., Savage, H.T., Spano, M.L., IEEE Trans. Magn. 20, 1443 (1984) CrossRef
Wun-Fogle, M., Restorff, J.B., Leung, K., Cullen, J.R., Clark, A.E., IEEE Trans. Magn. 35, 3817 (1999) CrossRef
Etrema - Terfenol-D Data Sheet. http://etrema-usa.com/documents/Terfenol.pdf
Galopin, N., Daniel, L., Bouillault, F., Besbes, M., Przegląd Elektrotechnic. 6, 44 (2007)
Azoum, K., Besbes, M., Bouillault, F., Ueno, T., Eur. Phys. J. Appl. Phys. 36, 43 (2006) CrossRef