Calculus of Variations and Geometric Measure Theory

E. Davoli - M. Kruzik - P. Piovano - U. Stefanelli

Magnetoelastic thin films at large strains

created by davoli on 11 Mar 2020
modified by piovano on 06 Nov 2023


Published Paper

Inserted: 11 mar 2020
Last Updated: 6 nov 2023

Journal: Continuum Mech. Thermodyn.
Volume: 33
Pages: 327–341
Year: 2021


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.