A simplified 3D constitutive law for magneto-mechanical behaviour

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

1 LGEP - Laboratoire de génie électrique 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 micromechanical approaches. But the corresponding constitutive 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: Electromagnétisme; Matériaux; Mécanique des matériaux [physics.class-ph]

Laurent Daniel, Olivier Hubert, Mahmoud Rekik. A simplified 3D constitutive law for magneto-mechanical behaviour. 6th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2014), May 2014, Annecy, France. ⟨hal-01552446⟩