Cosserat micropolar and couple-stress elasticity models of flexomagnetism at finite deformations
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917512979939328 |
|---|---|
| author | Sky, Adam Codony, David Rudykh, Stephan Zilian, Andreas Bordas, Stéphane P. A. Neff, Patrizio |
| author_facet | Sky, Adam Codony, David Rudykh, Stephan Zilian, Andreas Bordas, Stéphane P. A. Neff, Patrizio |
| contents | We propose geometrically nonlinear (finite) continuum models of flexomagnetism based on the Cosserat micropolar and its descendent couple-stress theory. These models introduce the magneto-mechanical interaction by coupling the micro-dislocation tensor of the micropolar model with the magnetisation vector using a Lifshitz invariant. In contrast to conventional formulations that couple strain-gradients to the magnetisation using fourth-order tensors, our approach relies on third-order tensor couplings by virtue of the micro-dislocation being a second-order tensor. Consequently, the models permit centrosymmetric materials with a single new flexomagnetic constant, and more generally allow cubic-symmetric materials with two such constants. We postulate the flexomagnetic action-functionals and derive the corresponding governing equations using both scalar and vectorial magnetic potential formulations, and present numerical results for a nano-beam geometry, confirming the physical plausibility and computational feasibility of the models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22756 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cosserat micropolar and couple-stress elasticity models of flexomagnetism at finite deformations Sky, Adam Codony, David Rudykh, Stephan Zilian, Andreas Bordas, Stéphane P. A. Neff, Patrizio Materials Science Computational Engineering, Finance, and Science Mathematical Physics Computational Physics We propose geometrically nonlinear (finite) continuum models of flexomagnetism based on the Cosserat micropolar and its descendent couple-stress theory. These models introduce the magneto-mechanical interaction by coupling the micro-dislocation tensor of the micropolar model with the magnetisation vector using a Lifshitz invariant. In contrast to conventional formulations that couple strain-gradients to the magnetisation using fourth-order tensors, our approach relies on third-order tensor couplings by virtue of the micro-dislocation being a second-order tensor. Consequently, the models permit centrosymmetric materials with a single new flexomagnetic constant, and more generally allow cubic-symmetric materials with two such constants. We postulate the flexomagnetic action-functionals and derive the corresponding governing equations using both scalar and vectorial magnetic potential formulations, and present numerical results for a nano-beam geometry, confirming the physical plausibility and computational feasibility of the models. |
| title | Cosserat micropolar and couple-stress elasticity models of flexomagnetism at finite deformations |
| topic | Materials Science Computational Engineering, Finance, and Science Mathematical Physics Computational Physics |
| url | https://arxiv.org/abs/2511.22756 |