The objective of this paper is to perform, by means of γ-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 γ-limit of the Gibbs-Landau free energy functional, as the period over which the heterogeneities are distributed inside the ferromagnetic body shrinks to zero.
Homogenization of composite ferromagnetic materials / Alouges, F.; Di Fratta, G.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. - ISSN 1364-5021. - 471:2182(2015), p. 20150365. [10.1098/rspa.2015.0365]
Homogenization of composite ferromagnetic materials
Di Fratta G.
2015
Abstract
The objective of this paper is to perform, by means of γ-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 γ-limit of the Gibbs-Landau free energy functional, as the period over which the heterogeneities are distributed inside the ferromagnetic body shrinks to zero.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
