Magnetoelastic thin films at large strains

0541516 - ÚTIA 2022 RIV DE eng J - Journal Article
Davoli, E. - Kružík, Martin - Piovano, P. - Stefanelli, U.
Magnetoelastic thin films at large strains.
Continuum Mechanics and Thermodynamics. Roč. 33, č. 1 (2021), s. 327-341. ISSN 0935-1175. E-ISSN 1432-0959
R&D Projects: GA MŠMT(CZ) 8J19AT013; GA ČR(CZ) GF19-29646L
Institutional support: RVO:67985556
Keywords : Magnetoelasticity * Thin films * Eulerian–Lagrangian
OECD category: Applied mathematics
Impact factor: 3.285, year: 2021
Method of publishing: Open access
http://library.utia.cas.cz/separaty/2021/MTR/kruzik-0541516.pdf https://link.springer.com/article/10.1007/s00161-020-00904-1

Starting from the three-dimensional setting, we derive a limit model of a thin magnetoelastic film by means of Γ -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.
Permanent Link: http://hdl.handle.net/11104/0319268