A variational approach to the emergence of domain structures in magnetostrictive solids
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908455756890112 |
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| author | Bresciani, Marco Friedrich, Manuel |
| author_facet | Bresciani, Marco Friedrich, Manuel |
| contents | 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 $Γ$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14091 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A variational approach to the emergence of domain structures in magnetostrictive solids Bresciani, Marco Friedrich, Manuel Analysis of PDEs 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 $Γ$-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. |
| title | A variational approach to the emergence of domain structures in magnetostrictive solids |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.14091 |