Publicación:
New notions of uniformity and homogeneity of Cosserat media

Vista sencilla de ítem
dc.contributor.authorLeón, Manuel de
dc.contributor.authorJiménez Morales, Víctor Manuel
dc.date.accessioned2024-05-20T11:47:36Z
dc.date.available2024-05-20T11:47:36Z
dc.date.issued2023
dc.description.abstractIn 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.versionversión final
dc.identifier.doihttps://doi.org/10.1063/5.0159469
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12560
dc.journal.issue9
dc.journal.titleJournal of Mathematical Physics
dc.journal.volume64
dc.language.isoen
dc.publisherAIP Publising
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.keywordsContinuum mechanics
dc.subject.keywordsGranular materials
dc.subject.keywordsLie algebras
dc.subject.keywordsDifferential geometry
dc.subject.keywordsDifferential topology
dc.subject.keywordsAlgebraic structures
dc.subject.keywordsGeneral topology
dc.subject.keywordsGroup theory
dc.titleNew notions of uniformity and homogeneity of Cosserat mediaes
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication983a34b9-02e6-4096-96d9-a488273f8742
relation.isAuthorOfPublication.latestForDiscovery983a34b9-02e6-4096-96d9-a488273f8742
Archivos
Bloque original
Mostrando 1 - 1 de 1
Miniatura
Nombre:
Jimenez_Morales_Victor_Manuel_NewNotions.pdf
Tamaño:
389.89 KB
Formato:
Adobe Portable Document Format
Descargar
Colecciones
Artículos y papers