An RVE-based multiscale theory of solids with micro-scale inertia and body force effects

Autores
De Souza Neto, Eduardo Alberto; Blanco, Pablo Javier; Sánchez, Pablo Javier; Feijóo, Raúl Antonino
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A multiscale theory of solids based on the concept of representative volume element (RVE) and accounting for micro-scale inertia and body forces is proposed. A simple extension of the classical Hill–Mandel Principle together with suitable kinematical constraints on the micro-scale displacements provide the variational framework within which the theory is devised. In this context, the micro-scale equilibrium equation and the homogenisation relations among the relevant macro- and micro-scale quantities are rigorously derived by means of straightforward variational arguments. In particular, it is shown that only the fluctuations of micro-scale inertia and body forces about their RVE volume averages may affect the micro-scale equilibrium problem and the resulting homogenised stress. The volume average themselves are mechanically relevant only to the macro-scale.
Fil: De Souza Neto, Eduardo Alberto. Swansea University; Reino Unido
Fil: Blanco, Pablo Javier. Ministério da Ciência, Tecnologia, Inovações e Comunicações. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Feijóo, Raúl Antonino. Ministério da Ciência, Tecnologia, Inovações e Comunicações. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Materia
Multiscale
Inertia
Body Forces
Rve
Hill-Mandel Principle
Homogenisation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/19673
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/19673
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling An RVE-based multiscale theory of solids with micro-scale inertia and body force effectsDe Souza Neto, Eduardo AlbertoBlanco, Pablo JavierSánchez, Pablo JavierFeijóo, Raúl AntoninoMultiscaleInertiaBody ForcesRveHill-Mandel PrincipleHomogenisationhttps://purl.org/becyt/ford/2.5https://purl.org/becyt/ford/2A multiscale theory of solids based on the concept of representative volume element (RVE) and accounting for micro-scale inertia and body forces is proposed. A simple extension of the classical Hill–Mandel Principle together with suitable kinematical constraints on the micro-scale displacements provide the variational framework within which the theory is devised. In this context, the micro-scale equilibrium equation and the homogenisation relations among the relevant macro- and micro-scale quantities are rigorously derived by means of straightforward variational arguments. In particular, it is shown that only the fluctuations of micro-scale inertia and body forces about their RVE volume averages may affect the micro-scale equilibrium problem and the resulting homogenised stress. The volume average themselves are mechanically relevant only to the macro-scale.Fil: De Souza Neto, Eduardo Alberto. Swansea University; Reino UnidoFil: Blanco, Pablo Javier. Ministério da Ciência, Tecnologia, Inovações e Comunicações. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; BrasilFil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Universidad Tecnológica Nacional; ArgentinaFil: Feijóo, Raúl Antonino. Ministério da Ciência, Tecnologia, Inovações e Comunicações. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; BrasilElsevier2015-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/19673De Souza Neto, Eduardo Alberto; Blanco, Pablo Javier; Sánchez, Pablo Javier; Feijóo, Raúl Antonino; An RVE-based multiscale theory of solids with micro-scale inertia and body force effects; Elsevier; Mechanics of Materials; 80; Part A; 1-2015; 136-1440167-6636CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.mechmat.2014.10.007info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0167663614001872info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:54:32Zoai:ri.conicet.gov.ar:11336/19673instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:54:33.124CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
title An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
spellingShingle An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
De Souza Neto, Eduardo Alberto
Multiscale
Inertia
Body Forces
Rve
Hill-Mandel Principle
Homogenisation
title_short An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
title_full An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
title_fullStr An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
title_full_unstemmed An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
title_sort An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
dc.creator.none.fl_str_mv De Souza Neto, Eduardo Alberto
Blanco, Pablo Javier
Sánchez, Pablo Javier
Feijóo, Raúl Antonino
author De Souza Neto, Eduardo Alberto
author_facet De Souza Neto, Eduardo Alberto
Blanco, Pablo Javier
Sánchez, Pablo Javier
Feijóo, Raúl Antonino
author_role author
author2 Blanco, Pablo Javier
Sánchez, Pablo Javier
Feijóo, Raúl Antonino
author2_role author
author
author
dc.subject.none.fl_str_mv Multiscale
Inertia
Body Forces
Rve
Hill-Mandel Principle
Homogenisation
topic Multiscale
Inertia
Body Forces
Rve
Hill-Mandel Principle
Homogenisation
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.5
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv A multiscale theory of solids based on the concept of representative volume element (RVE) and accounting for micro-scale inertia and body forces is proposed. A simple extension of the classical Hill–Mandel Principle together with suitable kinematical constraints on the micro-scale displacements provide the variational framework within which the theory is devised. In this context, the micro-scale equilibrium equation and the homogenisation relations among the relevant macro- and micro-scale quantities are rigorously derived by means of straightforward variational arguments. In particular, it is shown that only the fluctuations of micro-scale inertia and body forces about their RVE volume averages may affect the micro-scale equilibrium problem and the resulting homogenised stress. The volume average themselves are mechanically relevant only to the macro-scale.
Fil: De Souza Neto, Eduardo Alberto. Swansea University; Reino Unido
Fil: Blanco, Pablo Javier. Ministério da Ciência, Tecnologia, Inovações e Comunicações. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Feijóo, Raúl Antonino. Ministério da Ciência, Tecnologia, Inovações e Comunicações. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
description A multiscale theory of solids based on the concept of representative volume element (RVE) and accounting for micro-scale inertia and body forces is proposed. A simple extension of the classical Hill–Mandel Principle together with suitable kinematical constraints on the micro-scale displacements provide the variational framework within which the theory is devised. In this context, the micro-scale equilibrium equation and the homogenisation relations among the relevant macro- and micro-scale quantities are rigorously derived by means of straightforward variational arguments. In particular, it is shown that only the fluctuations of micro-scale inertia and body forces about their RVE volume averages may affect the micro-scale equilibrium problem and the resulting homogenised stress. The volume average themselves are mechanically relevant only to the macro-scale.
publishDate 2015
dc.date.none.fl_str_mv 2015-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/19673
De Souza Neto, Eduardo Alberto; Blanco, Pablo Javier; Sánchez, Pablo Javier; Feijóo, Raúl Antonino; An RVE-based multiscale theory of solids with micro-scale inertia and body force effects; Elsevier; Mechanics of Materials; 80; Part A; 1-2015; 136-144
0167-6636
CONICET Digital
CONICET
url http://hdl.handle.net/11336/19673
identifier_str_mv De Souza Neto, Eduardo Alberto; Blanco, Pablo Javier; Sánchez, Pablo Javier; Feijóo, Raúl Antonino; An RVE-based multiscale theory of solids with micro-scale inertia and body force effects; Elsevier; Mechanics of Materials; 80; Part A; 1-2015; 136-144
0167-6636
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.mechmat.2014.10.007
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0167663614001872
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842269291852857344
score 13.13397

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