A Simplified 3-D Constitutive Law for Magnetomechanical Behavior

Laurent Daniel (1) , Olivier Hubert (2) , Mahmoud Rekik (2)

1 GeePs - Laboratoire Génie électrique et électronique de Paris
2 LMT - Laboratoire de Mécanique et Technologie

The 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.

Mots clés: magneto-elasticity; magnetostriction; hysteresis loops; multiaxial stress

Domaines: Energie électrique; Electromagnétisme; Mécanique des matériaux [physics.class-ph]

Laurent Daniel, Olivier Hubert, Mahmoud Rekik. A Simplified 3-D Constitutive Law for Magnetomechanical Behavior. IEEE Transactions on Magnetics, 2015, 51 (3), pp.7300704. ⟨10.1109/TMAG.2014.2361643⟩. ⟨hal-01532885⟩