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arXiv · 2401.09586

Linearization in magnetoelasticity

Stefano Almi·Martin Kružík·Anastasia Molchanova
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Abstract

Starting from a model of nonlinear magnetoelasticity where magnetization is defined in the Eulerian configuration while elastic deformation is in the Lagrangean one, we rigorously derive a linearized model that coincides with the standard one that already appeared in the literature, see, e.g., DeSimone \& James (2002) 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 $\Gamma$-convergence and convergence of minimizers.

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Stefano Almi, Martin Kružík, Anastasia Molchanova. 2024-01-17. Linearization in magnetoelasticity. https://arxiv.org/abs/2401.09586

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