Almi, S., Kružík, M., & Molchanova, A. (2025). Linearization in magnetoelasticity. Advances in Calculus of Variations, 18(2), 577–591. https://doi.org/10.1515/acv-2024-0019
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.
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Project title:
Globales und Lokales Verhalten von Deformationen: V 1042 (FWF - Österr. Wissenschaftsfonds)
