On the Energy-Based Variational Model for Vector Magnetic Hysteresis

Prigozhin, Leonid; Barrett, John W.; Zirka, S. E.

doi:10.1109/tmag.2016.2599143

Cited by 16 publications

(7 citation statements)

References 29 publications

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“…Another possibility to solve equation (23) exactly is to minimize a functional at each time step, see e.g. the work of François-Lavet et al [28] or Prigozhin et al [27].…”

Section: Magnetizable Particlesmentioning

confidence: 99%

“…Unlike the Preisach model [24] or the Jiles-Atherton model [25], this approach has a consistent energy interpretation. Thus, the stored magnetic as well as the dissipated energies are calculable at any time [26,27]. As in the Jiles-Atherton model, the cause of magnetic hystereses is ascribed to the pinning, i.e.…”

Section: Introductionmentioning

confidence: 98%

“…Applications of the Bergqvist model and various similar models can be found in the literature, see e.g. [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling of magnetic hystereses in soft MREs filled with NdFeB particles

Kalina

Brummund

Metsch

et al. 2017

Smart Mater. Struct.

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Herein, we investigate the structure-property relationships of soft magnetorheological elastomers (MREs) filled with remanently magnetizable particles. The study is motivated from experimental results which indicate a large difference between the magnetization loops of soft MREs filled with NdFeB particles and the loops of such particles embedded in a comparatively stiff matrix, e.g. an epoxy resin. We present a microscale model for MREs based on a general continuum formulation of the magnetomechanical boundary value problem which is valid for finite strains. In particular, we develop an energetically consistent constitutive model for the hysteretic magnetization behavior of the magnetically hard particles. The microstructure is discretized and the problem is solved numerically in terms of a coupled nonlinear finite element approach. Since the local magnetic and mechanical fields are resolved explicitly inside the heterogeneous microstructure of the MRE, our model also accounts for interactions of particles close to each other. In order to connect the microscopic fields to effective macroscopic quantities of the MRE, a suitable computational homogenization scheme is used. Based on this modeling approach, it is demonstrated that the observable macroscopic behavior of the considered MREs results from the rotation of the embedded particles. Furthermore, the performed numerical simulations indicate that the reversion of the sample’s magnetization occurs due to a combination of particle rotations and internal domain conversion processes. All of our simulation results obtained for such materials are in a good qualitative agreement with the experiments.

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“…Another possibility to solve equation (23) exactly is to minimize a functional at each time step, see e.g. the work of François-Lavet et al [28] or Prigozhin et al [27].…”

Section: Magnetizable Particlesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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Modeling of magnetic hystereses in soft MREs filled with NdFeB particles

Kalina

Brummund

Metsch

et al. 2017

Smart Mater. Struct.

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“…This implies that for H irr < κ the polarization J will remain constant until H irr = κ [47]. From the previous definitions:…”

Section: Irreversible Process and Vector-play Modelmentioning

confidence: 95%

An Extension of the Vector-Play Model to the Case of Magneto-Elastic Loadings

et al. 2022

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The influence of mechanical stress on the magnetic hysteretic behavior is modeled through the association of a reversible simplified multiscale approach, and a macroscopic energy-based magnetic hysteresis model in a vector-play form. A phenomenological description of the dissipation parameters under mechanical stress is proposed. The non-monotonic effect of tensile stress on the magnetic permeability is modeled using a second-order development in the magneto-elastic energy. Material parameters for both reversible and irreversible behavior are identified from experimental characterization under mechanical stress performed on a DC04 electrical steel. The experimental tests include anhysteretic and hysteretic measurements. Modeling results of the anhysteretic magnetic permeability, the coercive field, and the remanent induction under several levels of peak magnetic field and uniaxial mechanical stress are satisfactorily compared with those obtained experimentally. The model is shown to reasonably predict the hysteresis losses under tensile and compressive stress, as well as the response of the material under a complex magnetic field waveform with harmonic content.INDEX TERMS Hysteresis model, magneto-elastic behavior, multiscale modeling, electrical steel.

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“…A detailed derivation of the EB model can be found in [3], [4], [19]- [21]. The magnetic flux density in a material is expressed as…”

Section: Energy-based Hysteresis Modelmentioning

confidence: 99%

Comparison of Anisotropic Energy-Based and Jiles–Atherton Models of Ferromagnetic Hysteresis

et al. 2020

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In this paper, we apply an anisotropic extension for the energy-based and the Jiles-Atherton hysteresis models to simulate both unidirectional alternating and rotational magnetic field excitations. The results show a good agreement with measurements for unidirectional alternating fields. However, the results for rotational fields, especially at high magnitudes, show a significant discrepancy with the measurement data. We demonstrate that the Jiles-Atherton model with appropriate parameters can estimate the losses in alternating cases up to 1.5 T, whereas both models give reasonable loss estimation up to 1 T in rotational cases.

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On the Energy-Based Variational Model for Vector Magnetic Hysteresis

Cited by 16 publications

References 29 publications

Modeling of magnetic hystereses in soft MREs filled with NdFeB particles

Modeling of magnetic hystereses in soft MREs filled with NdFeB particles

An Extension of the Vector-Play Model to the Case of Magneto-Elastic Loadings

Comparison of Anisotropic Energy-Based and Jiles–Atherton Models of Ferromagnetic Hysteresis

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