Energetical and multiscale approaches for the definition of an equivalent stress for magneto-elastic couplings

Hubert, Olivier; Daniel, Laurent

doi:10.1016/j.jmmm.2011.01.041

Cited by 50 publications

(42 citation statements)

References 48 publications

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“…Multiscale phenomenological approaches are an interesting solutions [13,14]. But they refer to anhysteretic behaviour which is a strong limitation.…”

Section: Resultsmentioning

confidence: 99%

Influence of a multiaxial stress on the reversible and irreversible magnetic behaviour of a 3%Si-Fe alloy

Rekik

Hubert

Daniel

2014

JAE

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The research presented in this paper is motivated by the design of electrical devices submitted to mechanical stress. It aims at studying the magnetic behaviour of ferromagnetic materials submitted to biaxial stress. It deals with the evolution of the magnetic susceptibility, coercive field and magnetic losses with respect to stress, magnetic field level and frequency. These quantities are of primary importance in the design of rotors for high speed rotating machines. The work is focused on the magnetic behaviour of a standard grade of Iron-Silicon alloy under the form of thin sheet. Non conventional experiments are performed on cross-shaped samples in order to apply biaxial stress representative of the loadings experienced by rotors of rotating machines. These experiments are performed on a multiaxial testing machine, ASTREE. The magnetic loading is applied using a single U-yoke. The measurement of magnetic induction, magnetic field and strain is conducted by the means of needle-B sensor, H-coil sensors and Digital Image Correlation (DIC) respectively. Both anhysteretic and dissipative responses to magneto-mechanical loadings are considered. The results allow to identify the more critical stress configurations for this material.

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“…Multiscale phenomenological approaches are an interesting solutions [13,14]. But they refer to anhysteretic behaviour which is a strong limitation.…”

Section: Resultsmentioning

confidence: 99%

Influence of a multiaxial stress on the reversible and irreversible magnetic behaviour of a 3%Si-Fe alloy

Rekik

Hubert

Daniel

2014

JAE

Self Cite

View full text Add to dashboard Cite

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“…  B A (10) III. IDENTIFICATION OF MODEL Fifteen parameters which are given in Table I are needed to model the properties of the studied material, 0.5 mm nonoriented Si-Fe sheets, and they were determined using experimental data obtained from a custom built uniaxial single sheet tester [14].…”

Section: Methodsmentioning

confidence: 99%

“…3 (a). Compression increases the MS, whereas tensile stress tends to decrease it [10], [12], [16]. In order to see the effect of more complex stress states FE simulations are performed under mechanical loadings that are given in (16) and rotational B.…”

Section: B Effect Of Various Stress States On Magnetic Propertiesmentioning

confidence: 99%

“…However, these test setups do not provide control for obtaining arbitrary in-plane stress tensor in the test material as it occurs in the operation of, for instance, rotational electrical machines [5]. On the other hand, some research has been done on modeling of the coupled multi-axial magneto-mechanical behavior [8]- [10]. Some measurements are often made to obtain necessary material data during modeling process as in [8]- [9].…”

Section: Introductionmentioning

confidence: 99%

“…Some measurements are often made to obtain necessary material data during modeling process as in [8]- [9]. A different approach is taken in [10] by defining a local free energy in domain scale and obtaining macroscopic magnetoelastic behavior by homogenization of local behavior.…”

Section: Introductionmentioning

confidence: 99%

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Coupled Magneto-Mechanical Analysis of Iron Sheets Under Biaxial Stress

et al. 2016

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A novel single sheet tester design is proposed and a directly coupled magneto-mechanical model is used to numerically analyze the behavior of iron sheets under biaxial magneto-mechanical loading applied by the tester device. Magneto-mechanically coupled constitutive equations of the material derived using an energy based approach are integrated into a finite element model of the single sheet tester device and simulations are performed to solve for the displacement field and the magnetic vector potential in the sample. The obtained numerical results of magnetostriction evolution due to uniaxial stress and stress induced anisotropies due to permeability variation under different magneto-mechanical loadings are presented. The simulation results are compared to the results published in the literature for the purpose of validation.

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A multiscale model for magneto-elastic behaviour including hysteresis effects

2014

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International audienceMagnetic 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

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Energetical and multiscale approaches for the definition of an equivalent stress for magneto-elastic couplings

Cited by 50 publications

References 48 publications

Influence of a multiaxial stress on the reversible and irreversible magnetic behaviour of a 3%Si-Fe alloy

Influence of a multiaxial stress on the reversible and irreversible magnetic behaviour of a 3%Si-Fe alloy

Coupled Magneto-Mechanical Analysis of Iron Sheets Under Biaxial Stress

A multiscale model for magneto-elastic behaviour including hysteresis effects

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