Magnetoelastic thin films at large strains
Analysis of PDEs
2020-08-26 v1
Abstract
Starting from the three-dimensional setting, we derive a limit model of a thin magnetoelastic film by means of {\Gamma}-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.
Keywords
Cite
@article{arxiv.2003.05178,
title = {Magnetoelastic thin films at large strains},
author = {Elisa Davoli and Martin Kružík and Paolo Piovano and Ulisse Stefanelli},
journal= {arXiv preprint arXiv:2003.05178},
year = {2020}
}