From micromagnetic to multiscale modeling of the coupled magnetoelastic behavior of ferromagnetic materials

The aim of this contribution is to present and compare different techniques to model of magnetoelastic couplings. In the micromagnetic model, the elementary variable used is the magnetic moment, defined at the scale of a set of atoms. The simulation of an array of interacting atoms allows for the prediction of a realistic magnetic domain structure in a two dimensional crystal. In the multiscale approach that is presented in the second part of this article, the elementary variables are the volume fractions of domains of different orientations defined at the scale of the grain. The two approaches give descriptions of the behavior of a single crystal that can be compared. Then, by the use of homogenization techniques, the multiscale approach can be used to predict the behavior of polycrystals.