A Frequency-Dependent Scalar Magneto-Elastic Hysteresis Model Derived Using Multi-Scale and Jiles-Atherton Approaches

The effects of mechanical stress on static and dynamic (frequency-dependence) magnetic behaviors of soft magnetic materials have to be modeled. A scalar static magneto-elastic hysteresis model is proposed which combines a simplified version of a multi-scale approach and the Jiles-Atherton (JA) model. The magneto-elastic hysteresis model is extended to include dynamic losses using the field separation approach. The effect of stress on dynamic loss components, particularly on the excess loss, is approximated using an exponential function. The model is validated with measured dynamic hysteresis loops over a frequency range of up to 1 kHz and uniaxial mechanical loading up to 50 MPa (both compressive and tensile stresses). The proposed model still preserves its simplicity and inverse form representation, which makes it quite amenable to numerical implementations. The approach can be applied to model magneto-elastic effects in the elastic range.