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Recasting magnetic hysteresis problem in terms of Rayleigh's variational principle.

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Title: Recasting magnetic hysteresis problem in terms of Rayleigh's variational principle.
Authors: Skarlatos, Anastassios1 (AUTHOR) anastasios.skarlatos@cea.fr, Mavrantzas, Vlasis G.2,3 (AUTHOR), Vafeas, Panayiotis4 (AUTHOR)
Source: Journal of Non-Equilibrium Thermodynamics. Apr2026, Vol. 51 Issue 2, p185-194. 10p.
Subjects: Magnetic hysteresis, Rayleigh-Ritz method, Magnetic susceptibility, Magnetization
Abstract: A general approach based on Rayleigh's variational principle is proposed for the derivation of the magnetic constitutive relation in systems involving hysteresis. The formal relation of the herein derived general formulation with classical models of magnetic hysteresis such as the low-field Rayleigh model and the Jiles–Atherton model is demonstrated. The model predictions for the magnetisation and the magnetic susceptibility are confronted with experimental curves obtained for two different carbon-steel grades. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Non-Equilibrium Thermodynamics is the property of De Gruyter and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 193784164
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Recasting magnetic hysteresis problem in terms of Rayleigh's variational principle.
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  Data: <searchLink fieldCode="AR" term="%22Skarlatos%2C+Anastassios%22">Skarlatos, Anastassios</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> anastasios.skarlatos@cea.fr</i><br /><searchLink fieldCode="AR" term="%22Mavrantzas%2C+Vlasis+G%2E%22">Mavrantzas, Vlasis G.</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Vafeas%2C+Panayiotis%22">Vafeas, Panayiotis</searchLink><relatesTo>4</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Non-Equilibrium+Thermodynamics%22">Journal of Non-Equilibrium Thermodynamics</searchLink>. Apr2026, Vol. 51 Issue 2, p185-194. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Magnetic+hysteresis%22">Magnetic hysteresis</searchLink><br /><searchLink fieldCode="DE" term="%22Rayleigh-Ritz+method%22">Rayleigh-Ritz method</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+susceptibility%22">Magnetic susceptibility</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetization%22">Magnetization</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: A general approach based on Rayleigh's variational principle is proposed for the derivation of the magnetic constitutive relation in systems involving hysteresis. The formal relation of the herein derived general formulation with classical models of magnetic hysteresis such as the low-field Rayleigh model and the Jiles–Atherton model is demonstrated. The model predictions for the magnetisation and the magnetic susceptibility are confronted with experimental curves obtained for two different carbon-steel grades. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Non-Equilibrium Thermodynamics is the property of De Gruyter and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1515/jnet-2025-0171
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 10
        StartPage: 185
    Subjects:
      – SubjectFull: Magnetic hysteresis
        Type: general
      – SubjectFull: Rayleigh-Ritz method
        Type: general
      – SubjectFull: Magnetic susceptibility
        Type: general
      – SubjectFull: Magnetization
        Type: general
    Titles:
      – TitleFull: Recasting magnetic hysteresis problem in terms of Rayleigh's variational principle.
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            NameFull: Skarlatos, Anastassios
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            NameFull: Mavrantzas, Vlasis G.
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            NameFull: Vafeas, Panayiotis
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            – D: 01
              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
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              Value: 51
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              Value: 2
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            – TitleFull: Journal of Non-Equilibrium Thermodynamics
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