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Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis

Models of ferromagnetic hysteresis are established by following a thermodynamic approach. The class of constitutive properties is required to obey the second law, expressed by the Clausius–Duhem inequality, and the Euclidean invariance. While the second law states that the entropy production is non-...

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Autores principales: Giorgi, Claudio, Morro, Angelo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10096350/
https://www.ncbi.nlm.nih.gov/pubmed/37049176
http://dx.doi.org/10.3390/ma16072882
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author Giorgi, Claudio
Morro, Angelo
author_facet Giorgi, Claudio
Morro, Angelo
author_sort Giorgi, Claudio
collection PubMed
description Models of ferromagnetic hysteresis are established by following a thermodynamic approach. The class of constitutive properties is required to obey the second law, expressed by the Clausius–Duhem inequality, and the Euclidean invariance. While the second law states that the entropy production is non-negative for every admissible thermodynamic process, here the entropy production is viewed as a non-negative constitutive function. In a three-dimensional setting, the magnetic field and the magnetization are represented by invariant vectors. Next, hysteretic properties are shown to require that the entropy production is needed in an appropriate form merely to account for different behavior in the loading and the unloading portions of the loops. In the special case of a one-dimensional setting, a detailed model is determined for the magnetization function, in terms of a given susceptibility function. Starting from different initial magnetized states, hysteresis cycles are obtained by solving a nonlinear ordinary differential system. Cyclic processes with large and small amplitudes are established for materials such as soft iron.
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spelling pubmed-100963502023-04-13 Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis Giorgi, Claudio Morro, Angelo Materials (Basel) Article Models of ferromagnetic hysteresis are established by following a thermodynamic approach. The class of constitutive properties is required to obey the second law, expressed by the Clausius–Duhem inequality, and the Euclidean invariance. While the second law states that the entropy production is non-negative for every admissible thermodynamic process, here the entropy production is viewed as a non-negative constitutive function. In a three-dimensional setting, the magnetic field and the magnetization are represented by invariant vectors. Next, hysteretic properties are shown to require that the entropy production is needed in an appropriate form merely to account for different behavior in the loading and the unloading portions of the loops. In the special case of a one-dimensional setting, a detailed model is determined for the magnetization function, in terms of a given susceptibility function. Starting from different initial magnetized states, hysteresis cycles are obtained by solving a nonlinear ordinary differential system. Cyclic processes with large and small amplitudes are established for materials such as soft iron. MDPI 2023-04-04 /pmc/articles/PMC10096350/ /pubmed/37049176 http://dx.doi.org/10.3390/ma16072882 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Giorgi, Claudio
Morro, Angelo
Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis
title Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis
title_full Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis
title_fullStr Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis
title_full_unstemmed Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis
title_short Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis
title_sort thermodynamically-consistent modeling of ferromagnetic hysteresis
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10096350/
https://www.ncbi.nlm.nih.gov/pubmed/37049176
http://dx.doi.org/10.3390/ma16072882
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