Publicación: New notions of uniformity and homogeneity of Cosserat media
dc.contributor.author | León, Manuel de | |
dc.contributor.author | Jiménez Morales, Víctor Manuel | |
dc.date.accessioned | 2024-05-20T11:47:36Z | |
dc.date.available | 2024-05-20T11:47:36Z | |
dc.date.issued | 2023 | |
dc.description.abstract | In this paper, we study internal properties of Cosserat media. In fact, by using groupoids and smooth distributions, we obtain three canonical equations. The non-holonomic material equation for Cosserat media characterizes the uniformity of the material. The holonomic material equation for Cosserat media permits us to study when a Cosserat material is a second-grade material. It is remarkable that these two equations also provide us a unique and maximal division of the Cosserat medium into uniform and second-grade parts, respectively. Finally, we present a proper definition of homogeneity of the Cosserat medium, which does not need to assume uniformity. Thus, the homogeneity equation for Cosserat media characterizes this notion of homogeneity. | en |
dc.description.version | versión final | |
dc.identifier.doi | https://doi.org/10.1063/5.0159469 | |
dc.identifier.issn | 0022-2488 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14468/12560 | |
dc.journal.issue | 9 | |
dc.journal.title | Journal of Mathematical Physics | |
dc.journal.volume | 64 | |
dc.language.iso | en | |
dc.publisher | AIP Publising | |
dc.relation.center | Facultad de Ciencias | |
dc.relation.department | Matemáticas Fundamentales | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es | |
dc.subject.keywords | Continuum mechanics | |
dc.subject.keywords | Granular materials | |
dc.subject.keywords | Lie algebras | |
dc.subject.keywords | Differential geometry | |
dc.subject.keywords | Differential topology | |
dc.subject.keywords | Algebraic structures | |
dc.subject.keywords | General topology | |
dc.subject.keywords | Group theory | |
dc.title | New notions of uniformity and homogeneity of Cosserat media | es |
dc.type | journal article | en |
dc.type | artículo | es |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 983a34b9-02e6-4096-96d9-a488273f8742 | |
relation.isAuthorOfPublication.latestForDiscovery | 983a34b9-02e6-4096-96d9-a488273f8742 |
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