A Simplified 3-D Constitutive Law for Magnetomechanical Behavior

The magnetomechanical behavior of magnetic materials is the result of intricate mechanisms at different scales. These mechanisms have been described with satisfying accuracy from micro-mechanical approaches. But, the corresponding constitutive laws would lead to prohibitive computation time if they were implemented in structural analysis tools for the design of electromagnetic devices. In this paper, a simplified approach for the modeling of multi-axial magnetoelastic behavior is proposed. This approach includes hysteresis effects and their dependence to stress. The corresponding very low computational time makes it suitable for an implementation into numerical tools for structural analysis.