Linearization in magnetoelasticity
Abstract Starting from a model of nonlinear magnetoelasticity where magnetization is defined in the Eulerian configuration while elastic deformation is in the Lagrangian one, we rigorously derive a linearized model that coincides with the standard one that already appeared in the literature and where the zero-stress strain is quadratic in the magnetization. The relation of the nonlinear and linear model is stated in terms of the Γ-convergence and convergence of minimizers.
Authors
- Anastasia Molchanova (ORCID: https://orcid.org/0000-0003-4121-2192)
- Stefano Almi (ORCID: https://orcid.org/0000-0001-7308-221X)
- Martin Kružík (ORCID: https://orcid.org/0000-0003-1558-5809)
Institutions
- University of Vienna (AT)
- TU Wien (AT)
- Czech Academy of Sciences, Institute of Information Theory and Automation (CZ)
- Czech Technical University in Prague (CZ)
- University of Naples Federico II (IT)
Publication Details
- Journal
- Advances in Calculus of Variations
- Published
- 2025-02-06
- DOI
- https://doi.org/10.1515/acv-2024-0019
- Citations
- 2
- Primary Topic
- Elasticity and Material Modeling
- Type
- article
- Field-Weighted Citation Impact
- 1.35
Funders
- Ministerstvo Školství, Mládeže a Tělovýchovy
- Grantová Agentura České Republiky
- Austrian Science Fund
- H2020 Marie Skłodowska-Curie Actions