Homogenization of magnetoelastic materials with rigid magnetic inclusions at small strains
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918068053082112 |
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| author | Grande, Raffaele Krömer, Stefan Kružík, Martin Tomassetti, Giuseppe |
| author_facet | Grande, Raffaele Krömer, Stefan Kružík, Martin Tomassetti, Giuseppe |
| contents | We investigate a homogenization problem for a linearly elastic magnetic material that incorporates elastically rigid magnetic inclusions firmly bonded to the matrix. By considering a periodic arrangement of this material, we identify an effective magnetoelastic energy, obtained by homogenization when the period approaches zero. For comparison, we also briefly discuss alternative, essentially equivalent magnetic models naturally linked by a Legendre-Fenchel transform of magnetic energy density where the elastic deformation enters as a parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18585 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homogenization of magnetoelastic materials with rigid magnetic inclusions at small strains Grande, Raffaele Krömer, Stefan Kružík, Martin Tomassetti, Giuseppe Analysis of PDEs Mathematical Physics 74Q05, 78M40, 49N99 We investigate a homogenization problem for a linearly elastic magnetic material that incorporates elastically rigid magnetic inclusions firmly bonded to the matrix. By considering a periodic arrangement of this material, we identify an effective magnetoelastic energy, obtained by homogenization when the period approaches zero. For comparison, we also briefly discuss alternative, essentially equivalent magnetic models naturally linked by a Legendre-Fenchel transform of magnetic energy density where the elastic deformation enters as a parameter. |
| title | Homogenization of magnetoelastic materials with rigid magnetic inclusions at small strains |
| topic | Analysis of PDEs Mathematical Physics 74Q05, 78M40, 49N99 |
| url | https://arxiv.org/abs/2506.18585 |