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.
Linearization in magnetoelasticity / Almi, Stefano; Molchanova, Anastasia; Kruzik, Martin. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8266. - (2025). [10.1515/acv-2024-0019]
Linearization in magnetoelasticity
Stefano Almi;Anastasia Molchanova
;Martin Kruzik
2025
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.| File | Dimensione | Formato | |
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