Abstract
AbstractThe overall macroscopic response of magneto‐mechanically coupled materials stems from complex magnetization evolution and corresponding domain wall motion occurring on a lower length scale. In order to account for such effects we propose a computational homogenization approach that incorporates a ferromagnetic phase‐field formulation into a macroscopic Boltzmann continuum. This scale‐bridging is obtained by rigorous definition of rate‐type and incremental variational principles. An extended version of the classical Hill‐Mandel macro‐homogeneity condition is obtained as a consequence. In order to satisfy the unity constraint of the magnetization on the micro‐scale, an efficient operator‐split method is proposed. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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