Paper
26 July 2004 Numerical approximation of ferromagnetic materials
Michel J.-M. Bernadou, Sophie Depeyre, Song He, Philip Meilland
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Abstract
In previous works, we have obtained several results on the numerical analysis of magnetostrictive materials at microscopic scale. These studies, based on the minimization of the total energy functional of the system, include the existence and the approximation of solutions and the associated numerical experiments on two-dimensional samples. Next, we have considered the numerical analysis of two-dimensional cubic crystals of ferromagnetic materials with emphasis on the thickness of the walls and their evolution under an incremental magnetic field and the effect of nonmagnetic inclusions. This contribution discusses more specifically two extensions i) to three dimensional ferromagnetic materials (computation and representation of magnetic domains and Bloch walls) and ii) to the case of two-dimensional polycrystals, in particular, the magnetic domains for adjacent rectangular crystals whose easy lines of magnetization have different orientations.
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Michel J.-M. Bernadou, Sophie Depeyre, Song He, and Philip Meilland "Numerical approximation of ferromagnetic materials", Proc. SPIE 5383, Smart Structures and Materials 2004: Modeling, Signal Processing, and Control, (26 July 2004); https://doi.org/10.1117/12.540294
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KEYWORDS
Magnetism

Crystals

Ferromagnetics

Numerical simulations

Magnetostrictive materials

Numerical analysis

Finite element methods

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