Multiscale and macroscopic modeling of magneto-elastic behavior of soft magnetic steel sheets

This paper compares different energy-based magneto-mechanical models, which describe the magnetization changes that a magnetostrictive and anisotropic material undergoes when subjected to a quasi-static H-field excitation and tensile or compressive external stress. The magnetic behavior is either characterized by considering the phenomenological energy-based Hauser hysteresis model or by the recently introduced hysteresis energy. The effect of mechanical stress is included naturally in the energy summation of the multiscale models. Properties of the different models, such as accuracy and parameter identification, are illustrated by comparison with experimental data for a nonoriented FeSi3% electrical steel grade.