Linearization in magnetoelasticity
Analysis of PDEs
2024-10-02 v2
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 -convergence and convergence of minimizers.
Keywords
Cite
@article{arxiv.2401.09586,
title = {Linearization in magnetoelasticity},
author = {Stefano Almi and Martin Kružík and Anastasia Molchanova},
journal= {arXiv preprint arXiv:2401.09586},
year = {2024}
}