Linearization in magnetoelasticity
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909331578945536 |
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| author | Almi, Stefano Kružík, Martin Molchanova, Anastasia |
| author_facet | Almi, Stefano Kružík, Martin Molchanova, Anastasia |
| contents | 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 $Γ$-convergence and convergence of minimizers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09586 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linearization in magnetoelasticity Almi, Stefano Kružík, Martin Molchanova, Anastasia Analysis of PDEs 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 $Γ$-convergence and convergence of minimizers. |
| title | Linearization in magnetoelasticity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.09586 |