Numéro |
J. Phys. IV France
Volume 115, June 2004
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Page(s) | 129 - 137 | |
DOI | https://doi.org/10.1051/jp4:2004115016 |
J. Phys. IV France 115 (2004) 129
DOI: 10.1051/jp4:2004115016
Modelling of the magnetoelastic behaviour of a polycrystalline ferrimagnetic material
B. Vieille1, N. Buiron1, 2, Y.P. Pellegrini3 and R. Billardon11 Laboratoire de Mécanique et Technologie, ENS-Cachan/CNRS/UPMC, 61 avenue du Pdt. Wilson, 94235 Cachan Cedex, France
2 Laboratoire de Mécanique Roberval, Université de Technologie de Compiègne, BP. 20529, 60205 Compiègne Cedex, France
3 Service de Physique de la Matière Condensée, Commissariat à l'Énergie Atomique, BP. 12, 91680 Bruyères-le-Châtel, France
Abstract
The effect of stresses on the magnetic behaviour
of polycrystalline ferrites has been investigated by the use
of experiments and a multiscale model. This model is based upon
3 scales: the magnetic domain, the single crystal and the polycrystal.
At the scale of the magnetic domain, a minimisation of the potential
energy (composed of field energy, anisotropy energy and magneto-elastic
energy) gives the orientation of magnetisation under the effect
of magnetic field, stresses, and crystal orientation. At the
scale of the single crystal, the volume fractions of domains
of different orientations are computed from their respective
energies through a balance equation that introduces two adjusting
parameters. The isotropic polycrystalline behaviour is deduced
from the averaging of the behaviour of a sufficient number of
grains (of different crystallographic orientations). The adjusting
parameters are identified from the magnetisation response of
a ring subjected to two different levels of axial compressive
stresses. The model is then used to predict the behaviour of
the same ring subjected to different levels of radial compressive
loading. The predictions are in good agreement with the experimental
results.
© EDP Sciences 2004