A multiscale model for magneto-elastic couplings

Buiron, Nicolas; Hirsinger, Laurent; Billardon, René

doi:10.1051/jp4:1999919

Cited by 32 publications

(36 citation statements)

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“…Hysteresis and eddy-current effects are not taken into account. The mechanical problem with external forces (see Section IV-A for more details on these forces): (10) is considered with the decomposition of the total strain into the elastic strain and the magnetostriction strain : (11) and with the constitutive law: (12) where is the usual stiffness tensor. 1 The total strain corresponds to the symmetrical part of the displacement gradient: (13) The resulting mechanical formulation contains an additional term , corresponding to an equivalent force due to the magneto-elastic coupling.…”

Section: Finite-element Formulationmentioning

confidence: 99%

“…These approaches can be suited for certain particular multiaxial configuration of stress but did not succeed in giving a general description of the effect of stress on magneto-elastic behavior. Fully multiaxial magneto-elastic models, based on an energetic approach, have been proposed for single crystals [11] and for single and poly-crystalline media, including the effect of crystallographic texture [12]- [14]. The implementation of the latter models into a finite-element simulation still leads to dissuasive computational times for engineering design applications.…”

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confidence: 99%

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Effect of Stress on Switched Reluctance Motors: A Magneto-Elastic Finite-Element Approach Based on Multiscale Constitutive Laws

et al. 2011

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The design of electromagnetic devices submitted to high mechanical stress is a growing issue and requires consequently appropriate modeling tools. We propose in this paper to implement a multiscale model for magneto-elastic behavior into a finite-element code. The 2-D magneto-elastic constitutive law is derived from a multiscale model based on a local energetic approach. The method is applied to study the effect of stress on the magnetic behavior of a switched reluctance motor. This work provides a finite-element tool for the modeling of the effect of multiaxial stress on electrotechnical devices.Index Terms-Effect of stress, electrical machines, finite-element method, magneto-elasticity, multiscale modeling.

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Section: Finite-element Formulationmentioning

confidence: 99%

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confidence: 99%

Effect of Stress on Switched Reluctance Motors: A Magneto-Elastic Finite-Element Approach Based on Multiscale Constitutive Laws

et al. 2011

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“…We use here after the description of the magneto-elastic behaviour of single crystals proposed by Buiron et al (1999Buiron et al ( , 2001). This approach is derived from Néel magnetic phase model (Néel, 1944).…”

Section: Magnetic Behaviourmentioning

confidence: 99%

“…A micromagnetic model for single crystals, proposed by Buiron et al (1999Buiron et al ( , 2001) is presented as well as its extension to polycrystalline media. The results are then compared to experimental data and discussed.…”

Section: Introductionmentioning

confidence: 99%

Homogenisation of magneto-elastic behaviour: from the grain to the macro scale

Daniel¹,

Hubert²,

Billardon³

2004

Comput. Appl. Math.

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“…We then introduce the volumetric fractions f α of domains with magnetization orientation α [19,20,21,16]. These internal variables are obtained through the numerical integration of the following Boltzmann-type relation [15]:…”

Section: Microscopic Magneto-elastic Modelmentioning

confidence: 99%

Micro–macro modelling of stress-dependent anisotropic magnetoresistance

Bartok¹,

Daniel²,

Razek³

2011

J. Phys. D: Appl. Phys.

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Abstract.Anisotropic magnetoresistance (AMR) is the basic phenomenon of a spread class of sensors. AMR effect has a strong mechanical stress dependence. Micromagnetic simulations are often used for modeling the magnetoresistance of ferromagnetic materials, but these approaches do not allow to investigate macroscopic effects (for example behavior of a polycrystal under stress) due to the high number of interactions and degrees of freedom. On the other hand macroscopic phenomenological approaches fail in describing the main role of microstructure on the effective behavior. In this work a micro-macro model is proposed to describe the effect of stress on the AMR in ferromagnetic polycrystals. Results are discussed and compared to experimental data from the literature.

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A multiscale model for magneto-elastic couplings

Cited by 32 publications

References 0 publications

Effect of Stress on Switched Reluctance Motors: A Magneto-Elastic Finite-Element Approach Based on Multiscale Constitutive Laws

Effect of Stress on Switched Reluctance Motors: A Magneto-Elastic Finite-Element Approach Based on Multiscale Constitutive Laws

Homogenisation of magneto-elastic behaviour: from the grain to the macro scale

Micro–macro modelling of stress-dependent anisotropic magnetoresistance

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