Reversible magneto-elastic behavior: A multiscale approach

Efficient methods for macroscopic magnetization simulation described by the assembly of simplified domain structure models

“…In the same way as in the micromagnetic simulation (see Appendix A.2), the magnetostatic energy is given as ( 2 ) where i is the cell index and h st is the normalized demagnetizing field; h st is given as…”

Micro–macro modelling of stress-dependent anisotropic magnetoresistance

“…The magneto-elastic part of the model is based on a reversible magneto-elastic model previously published [15,16].…”

“…In the case of polycrystals, the self-consistent scheme is known to provide satisfying results. The macro-meso localization rule is written as follows [16]:…”

“…The self-consistent localization scheme is known to provide satisfying estimates for polycrystalline media [18]. Under such hypotheses, the macro-meso localization rule can be written in the following form [16]:…”

“…B σ denotes the so-called concentration tensor and L inc is a tensor accounting for elastic incompatibilities due to magnetostriction. The way to calculate these fourth order tensor can be found in [18,16] and is briefly re-called in Appendix A.…”