Magnetoelastic thin films at large strains

Starting from the three-dimensional setting, we derive a limit model of a thin magnetoelastic film by means of [Formula: see text] -convergence techniques. As magnetization vectors are defined on the elastically deformed configuration, our model features both Lagrangian and Eulerian terms. This call...

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Detalles Bibliográficos
Autores principales: Davoli, Elisa, Kružík, Martin, Piovano, Paolo, Stefanelli, Ulisse
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Original Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591782/
https://www.ncbi.nlm.nih.gov/pubmed/34803234
http://dx.doi.org/10.1007/s00161-020-00904-1
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author Davoli, Elisa
Kružík, Martin
Piovano, Paolo
Stefanelli, Ulisse
author_facet Davoli, Elisa
Kružík, Martin
Piovano, Paolo
Stefanelli, Ulisse
author_sort Davoli, Elisa
collection PubMed
description Starting from the three-dimensional setting, we derive a limit model of a thin magnetoelastic film by means of [Formula: see text] -convergence techniques. As magnetization vectors are defined on the elastically deformed configuration, our model features both Lagrangian and Eulerian terms. This calls for qualifying admissible three-dimensional deformations of planar domains in terms of injectivity. In addition, a careful treatment of the Maxwell system in the deformed film is required.
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spelling pubmed-85917822021-11-19 Magnetoelastic thin films at large strains Davoli, Elisa Kružík, Martin Piovano, Paolo Stefanelli, Ulisse Contin Mech Thermodyn Original Article Starting from the three-dimensional setting, we derive a limit model of a thin magnetoelastic film by means of [Formula: see text] -convergence techniques. As magnetization vectors are defined on the elastically deformed configuration, our model features both Lagrangian and Eulerian terms. This calls for qualifying admissible three-dimensional deformations of planar domains in terms of injectivity. In addition, a careful treatment of the Maxwell system in the deformed film is required. Springer Berlin Heidelberg 2020-08-01 2021 /pmc/articles/PMC8591782/ /pubmed/34803234 http://dx.doi.org/10.1007/s00161-020-00904-1 Text en © The Author(s) 2020 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Article
Davoli, Elisa
Kružík, Martin
Piovano, Paolo
Stefanelli, Ulisse
Magnetoelastic thin films at large strains
title Magnetoelastic thin films at large strains
title_full Magnetoelastic thin films at large strains
title_fullStr Magnetoelastic thin films at large strains
title_full_unstemmed Magnetoelastic thin films at large strains
title_short Magnetoelastic thin films at large strains
title_sort magnetoelastic thin films at large strains
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591782/
https://www.ncbi.nlm.nih.gov/pubmed/34803234
http://dx.doi.org/10.1007/s00161-020-00904-1
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AT kruzikmartin magnetoelasticthinfilmsatlargestrains
AT piovanopaolo magnetoelasticthinfilmsatlargestrains
AT stefanelliulisse magnetoelasticthinfilmsatlargestrains

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