Homogenization of composite ferromagnetic materials

被引：14
|
作者：
Alouges, Francois [1 ]
Di Fratta, Giovanni [1 ]
机构：
[1] Ecole Polytech, CMAP, F-91128 Palaiseau, France
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2015年 / 471卷 / 2182期
关键词：
composite ferromagnetic materials; micromagnetics; homogenization; Gamma-convergence; weighted two-scale convergence;
D O I：
10.1098/rspa.2015.0365
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The objective of this paper is to perform, by means of Gamma-convergence and two-scale convergence, a rigorous derivation of the homogenized Gibbs-Landau free energy functional associated with a composite periodic ferromagnetic material, i.e. a ferromagnetic material in which the heterogeneities are periodically distributed inside the media. We thus describe the Gamma-limit of the Gibbs-Landau free energy functional, as the period over which the heterogeneities are distributed inside the ferromagnetic body shrinks to zero.
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页数：19
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