A multiscale model for magneto-elastic couplings

A multiscale model for magneto-elastic couplings
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DOI:
10.1051/jp4:1999919
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发表时间:
1999-09-01
期刊:
JOURNAL DE PHYSIQUE IV
影响因子:
--
通讯作者:
Billardon, R
Billardon, R
中科院分区:
其他
文献类型:
--
作者:
Buiron, N;Hirsinger, L;Billardon, R

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在宏观尺度上,两种不同的现象说明了铁磁材料的弹性和磁性行为之间的耦合:第一,磁化引起称为磁致伸缩的变形机制,第二,应力对磁性行为有影响。这些现象之间的非线性关系的复杂性是这样的,已经提出了一些现实的宏观本构方程来模拟磁性材料的耦合磁弹性行为。磁化强度和磁致伸缩是复杂磁畴结构的宏观表现,该磁畴结构通过施加的机械和磁载荷而改变。在这里,它建议使用均匀化的方法来推断宏观行为的单晶和多晶的磁畴结构的统计描述。因此,宏观耦合自然地产生于在磁畴水平写入的自由能的表达。
At the macroscopic scale two different phenomena illustrate the couplings between the elastic and magnetic behaviours of ferromagnetic materials: first, magnetisation induces a deformation mechanism called magnetostriction, and, second, stresses have an effect on the magnetic behaviour. The complexity of the non-linear relations between these phenomena is such that few realistic macroscopic constitutive equations have been proposed to model the coupled magneto-elastic behaviour of magnetic materials. Magnetisation and magnetostriction are macroscopic manifestations of the complex magnetic domain structure that is modified by applied mechanic and magnetic loads. Herein, it is proposed to use homogenisation methods to deduce the macroscopic behaviour of single crystals and polycrystals from a statistical description of the magnetic domain structure. Therefore, the macroscopic couplings naturally arise from the expression of the free energy written at the level of the magnetic domains.