In this paper, we investigate the modeling of ferromagnetic multiscale materials. We propose a computational homogenization technique based on the heterogeneous multiscale method (HMM) that includes both eddy-current and hysteretic losses at the mesoscale. The HMM comprises: 1) a macroscale problem that captures the slow variations of the overall solution; 2) many mesoscale problems that allow to determine the constitutive law at the macroscale. As application example, a laminated iron core is considered.
Niyonzima, I., Sabariego, R. V., Dular, P., Henrotte, F., & Geuzaine, C. (2013). Computational Homogenization for Laminated Ferromagnetic Cores in Magnetodynamics. IEEE Transactions on Magnetics, 49(5), 2049-2052. https://doi.org/10.1109/TMAG.2012.2237546 (Original work published 2013)