Abstract
Magnetic and mechanical behaviour are strongly coupled: an applied stress modifies the magnetic behaviour, and on the other hand, magnetic materials undergo a magnetisation-induced strain known as the magnetostriction strain. These coupling effects play a significant role on the overall performance of electromagnetic devices such as magnetostrictive transducers or high-performance electric machines. In order to provide engineers with accurate design tools, magneto-elastic effects must be included into constitutive laws for magnetic materials. The origin of the magneto-elastic coupling lies in the competitive contributions of stress and magnetic field to the definition of magnetic domain configurations in magnetic materials. The magnetic domain scale is then suitable to describe magneto-elastic interactions, and this is the reason why multiscale approaches based on a micro-mechanical description of magnetic domain structures have been developed in the last decades. We propose in this paper an extension of a previous anhysteretic multiscale model in order to consider hysteresis effects. This new irreversible model is fully multiaxial and allows the description of typical hysteresis and butterfly loops and the calculation of magnetic losses as a function of external magneto-mechanical loadings. It is notably shown that the use of a configuration demagnetising effect related to the initial domain configuration enables to capture the non-monotony of the effect of stress on the magnetic susceptibility. This configuration demagnetising effect is also relevant to describe the effects of stress on hysteresis losses and coercive field.
Highlights
Ferro- and ferrimagnetic materials are widely used as a basic constituent of electromagnetic devices and transducers
As a consequence of these constraints, the magneto-mechanical loadings experienced by magnetic materials are reaching higher intensities
We propose in this paper to extend such a multiscale scheme in order to describe hysteresis effects and their dependence to magneto-mechanical loadings
Summary
Ferro- and ferrimagnetic materials are widely used as a basic constituent of electromagnetic devices and transducers. Rekik Laboratoire de Génie Electrique de Paris (LGEP), CNRS(UMR8507)/SUPELEC/UPMC/Univ Paris-Sud 11 rue Joliot-Curie, Plateau de Moulon, 91192, Gif-sur-Yvette, France. Multiscale approaches based on a micro-mechanical description of magnetic domain structures have been developed [9,10,11,12,13] mostly inspired by the early works of Néel [14]. These multiscale approaches seem relevant to establish macroscopic constitutive laws since magneto-elastic coupling effects originates from the evolution of magnetic domain structures under magnetomechanical loading.
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