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
Descripción
Sumario: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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