A constitutive law for magnetostrictive materials and its application to Terfenol-D single and polycrystals

Daniel, Laurent; Galopin, Nicolas

doi:10.1051/epjap:2008031

Cited by 41 publications

(50 citation statements)

References 10 publications

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“…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%

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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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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“…The magneto-elastic part of the model is based on a reversible magneto-elastic model previously published [15,16].…”

Section: Micro-macro Modelingmentioning

confidence: 99%

“…The magneto-elastic model for the single crystal is derived from [15]. The single crystal is seen as an assembly of magnetic domains.…”

Section: Microscopic Magneto-elastic Modelmentioning

confidence: 99%

“…These internal variables are obtained through the numerical integration of the following Boltzmann-type relation [15]:…”

Section: Microscopic Magneto-elastic Modelmentioning

confidence: 99%

“…At the single crystal scale, for the calculation of the volumetric fractions f α , a 10242 orientation (α) data file was used [15]. The material constants are defined in Table 1 and Table 2.…”

Section: Model Parametersmentioning

confidence: 99%

See 2 more Smart Citations

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 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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A constitutive law for magnetostrictive materials and its application to Terfenol-D single and polycrystals

Cited by 41 publications

References 10 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

Micro–macro modelling of stress-dependent anisotropic magnetoresistance

A multiscale model for magneto-elastic behaviour including hysteresis effects

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