Equivalent Stress Model for Magnetic Hysteresis Losses Under Biaxial Loading

The concept of equivalent stress for hysteretic behavior is discussed. Magnetic measurements are first performed on iron-silicon thin sheets subjected to biaxial stress. Both anhysteretic and dissipative magnetic responses are recorded. An anhysteretic equivalent stress for the magnetic susceptibility is first applied. A configuration effect allows building an equivalent stress for the coercive field. The combination of the two formulations leads to a prediction of losses in the stress plane.