A magneto-elastic vector-play model under rotating fields and multiaxial stress states

The hysteresis behavior of ferromagnetic materials under static stress is represented using an energy-based vector-play approach combined with a multiscale model. Using parameters identified from uniaxial measurements along one direction only, the modeling predictions agree well with the measured hysteresis loops of a non-oriented (NO) iron-silicon steel under multiaxial mechanical loadings and rotating fields. The hysteresis loss trend under stress is also reproduced with the proposed approach. Notably, the model reproduces the influence of complex mechanical loadings, such as shear, in the rotating losses description with errors lower than 12%.