International audienceThe magneto-mechanical behaviour 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 con-stitutive laws are usually too complex to be easily implemented in structural analysis tools for the design of electromagnetic devices. In this paper, a simplified approach for the modelling of multiaxial magneto-elastic behaviour 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