Some indentities for the gradient of the principal invariants, traces and determinants via Grassmann calculus.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorFrancisco Neto, Antônio-
Data de aceite: dc.date.accessioned2025-08-21T15:27:48Z-
Data de disponibilização: dc.date.available2025-08-21T15:27:48Z-
Data de envio: dc.date.issued2017-09-18-
Data de envio: dc.date.issued2017-09-18-
Data de envio: dc.date.issued2013-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/8734-
Fonte completa do material: dc.identifierhttps://link.springer.com/article/10.1007/s10659-012-9413-2-
Fonte completa do material: dc.identifierhttps://doi.org/10.1007/s10659-012-9413-2-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1015669-
Descrição: dc.descriptionLet A be a second order tensor in a finite dimensional space. In this work we determine the gradient of the principal invariants ofAand obtain some trace and determinant identities using only some standard rigorous statements concerning Grassmann calculus. We recover some of the results of Dui et al. (J. Elast. 75:193–196, 2004) and of Truesdell and Noll (The Non-linear Field Theories of Mechanics, Springer, Berlin, 2002) and solve an old problem proposed in SIAM Review concerning a determinant identity from a new perspective in a concise and simple manner.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectTrace identities-
Título: dc.titleSome indentities for the gradient of the principal invariants, traces and determinants via Grassmann calculus.-
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