Multiaxial Validation of a Magneto-Elastic Vector-Play Model

The ferromagnetic materials used in electrical machines are usually subjected to multiaxial mechanical loadings. The influence of these multiaxial stress states on the hysteresis behavior can be modeled using an extended vector-play model. In this approach, a combination of an anhysteretic multiscale model and a magnetic hysteresis vector-play model is proposed. The magnetic hysteresis response of a nonoriented (NO) iron-silicon steel subjected to biaxial stress loadings is simulated using the vector-play approach. By considering a simplified texture, anisotropy effects are also taken into account. The simulation results are then compared with experimental measurements previously presented in the literature. It is shown that the proposed approach, with parameters identified from uniaxial measurements along one direction only, allows predicting the hysteresis losses under bi-tension, bi-compression, and shear with errors lower than 15% when the field is along rolling direction (RD). The hysteresis losses for a more challenging configuration, with field along the transverse direction (TD) and under biaxial stress, are also reasonably predicted with errors lower than 25%.