A variational approach to the emergence of domain structures in magnetostrictive solids

Marco Bresciani; Manuel Friedrich

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arXiv · 2507.14091

A variational approach to the emergence of domain structures in magnetostrictive solids

Marco Bresciani·Manuel Friedrich

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Abstract

We consider a variational model for magnetoelastic solids in the large-strain setting with the magnetization field defined on the unknown deformed configuration. Through a simultaneous linearization of the deformation and sharp-interface limit of the magnetization with respect to the easy axes, performed in terms of $\Gamma$-convergence, we identify a variational model describing the formation of domain structures and accounting for magnetostriction in the small-strain setting. Our analysis incorporates the effect of magnetic fields and, for uniaxial materials, ensures the regularity of minimizers of the effective energy.

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Marco Bresciani, Manuel Friedrich. 2025-07-18. A variational approach to the emergence of domain structures in magnetostrictive solids. https://arxiv.org/abs/2507.14091

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