A frame invariant and path-independent geometrically exact thin walled composite beam element

Autores
Saravia, César Martín; Machado, Sebastián Pablo; Cortínez, Víctor Hugo
Año de publicación
2010
Idioma
español castellano
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A geometrically exact, frame invariant and path independent beam finite element for composite thin - walled beams is presented. In the proposed formulation the virtual work equations are written as a function of generalized strain components, which are parametrized in terms of the director field and its derivatives. The generalized strains and forces are obtained by introducing a transformation that maps generalized components into physical components. Finite rotations are parametrized with the total rotation vector and a multiplicative update of the directors is performed via the total rotation tensor. A curvilinear transformation is applied to the strain vector and the transformed deformations are used to write the constitutive relations. As a result, the proposed formulation is valid for both isotro pic and anisotropic beams. The frame invariance and path independence of the presented formulation is ensured by the use of interpolation to obtain the derivatives of the director field.
Fil: Saravia, César Martín. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Machado, Sebastián Pablo. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Cortínez, Víctor Hugo. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Materia
GEOMETRICALLY EXACT BEAMS
TOTAL LAGRANGIAN
ANISOTROPIC
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:11336/68438
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/68438
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A frame invariant and path-independent geometrically exact thin walled composite beam elementSaravia, César MartínMachado, Sebastián PabloCortínez, Víctor HugoGEOMETRICALLY EXACT BEAMSTOTAL LAGRANGIANANISOTROPIChttps://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2A geometrically exact, frame invariant and path independent beam finite element for composite thin - walled beams is presented. In the proposed formulation the virtual work equations are written as a function of generalized strain components, which are parametrized in terms of the director field and its derivatives. The generalized strains and forces are obtained by introducing a transformation that maps generalized components into physical components. Finite rotations are parametrized with the total rotation vector and a multiplicative update of the directors is performed via the total rotation tensor. A curvilinear transformation is applied to the strain vector and the transformed deformations are used to write the constitutive relations. As a result, the proposed formulation is valid for both isotro pic and anisotropic beams. The frame invariance and path independence of the presented formulation is ensured by the use of interpolation to obtain the derivatives of the director field.Fil: Saravia, César Martín. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaFil: Machado, Sebastián Pablo. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaFil: Cortínez, Víctor Hugo. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaAsociación Argentina de Mecánica Computacional2010-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/68438Saravia, César Martín; Machado, Sebastián Pablo; Cortínez, Víctor Hugo; A frame invariant and path-independent geometrically exact thin walled composite beam element; Asociación Argentina de Mecánica Computacional; Mecánica Computacional; 29; 11-2010; 1673-16932591-3522CONICET DigitalCONICETspainfo:eu-repo/semantics/altIdentifier/url/https://cimec.org.ar/ojs/index.php/mc/article/view/3109/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:03:10Zoai:ri.conicet.gov.ar:11336/68438instacron: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:34982025-10-22 11:03:10.843CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A frame invariant and path-independent geometrically exact thin walled composite beam element
title A frame invariant and path-independent geometrically exact thin walled composite beam element
spellingShingle A frame invariant and path-independent geometrically exact thin walled composite beam element
Saravia, César Martín
GEOMETRICALLY EXACT BEAMS
TOTAL LAGRANGIAN
ANISOTROPIC
title_short A frame invariant and path-independent geometrically exact thin walled composite beam element
title_full A frame invariant and path-independent geometrically exact thin walled composite beam element
title_fullStr A frame invariant and path-independent geometrically exact thin walled composite beam element
title_full_unstemmed A frame invariant and path-independent geometrically exact thin walled composite beam element
title_sort A frame invariant and path-independent geometrically exact thin walled composite beam element
dc.creator.none.fl_str_mv Saravia, César Martín
Machado, Sebastián Pablo
Cortínez, Víctor Hugo
author Saravia, César Martín
author_facet Saravia, César Martín
Machado, Sebastián Pablo
Cortínez, Víctor Hugo
author_role author
author2 Machado, Sebastián Pablo
Cortínez, Víctor Hugo
author2_role author
author
dc.subject.none.fl_str_mv GEOMETRICALLY EXACT BEAMS
TOTAL LAGRANGIAN
ANISOTROPIC
topic GEOMETRICALLY EXACT BEAMS
TOTAL LAGRANGIAN
ANISOTROPIC
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv A geometrically exact, frame invariant and path independent beam finite element for composite thin - walled beams is presented. In the proposed formulation the virtual work equations are written as a function of generalized strain components, which are parametrized in terms of the director field and its derivatives. The generalized strains and forces are obtained by introducing a transformation that maps generalized components into physical components. Finite rotations are parametrized with the total rotation vector and a multiplicative update of the directors is performed via the total rotation tensor. A curvilinear transformation is applied to the strain vector and the transformed deformations are used to write the constitutive relations. As a result, the proposed formulation is valid for both isotro pic and anisotropic beams. The frame invariance and path independence of the presented formulation is ensured by the use of interpolation to obtain the derivatives of the director field.
Fil: Saravia, César Martín. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Machado, Sebastián Pablo. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Cortínez, Víctor Hugo. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
description A geometrically exact, frame invariant and path independent beam finite element for composite thin - walled beams is presented. In the proposed formulation the virtual work equations are written as a function of generalized strain components, which are parametrized in terms of the director field and its derivatives. The generalized strains and forces are obtained by introducing a transformation that maps generalized components into physical components. Finite rotations are parametrized with the total rotation vector and a multiplicative update of the directors is performed via the total rotation tensor. A curvilinear transformation is applied to the strain vector and the transformed deformations are used to write the constitutive relations. As a result, the proposed formulation is valid for both isotro pic and anisotropic beams. The frame invariance and path independence of the presented formulation is ensured by the use of interpolation to obtain the derivatives of the director field.
publishDate 2010
dc.date.none.fl_str_mv 2010-11
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/11336/68438
Saravia, César Martín; Machado, Sebastián Pablo; Cortínez, Víctor Hugo; A frame invariant and path-independent geometrically exact thin walled composite beam element; Asociación Argentina de Mecánica Computacional; Mecánica Computacional; 29; 11-2010; 1673-1693
2591-3522
CONICET Digital
CONICET
url http://hdl.handle.net/11336/68438
identifier_str_mv Saravia, César Martín; Machado, Sebastián Pablo; Cortínez, Víctor Hugo; A frame invariant and path-independent geometrically exact thin walled composite beam element; Asociación Argentina de Mecánica Computacional; Mecánica Computacional; 29; 11-2010; 1673-1693
2591-3522
CONICET Digital
CONICET
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://cimec.org.ar/ojs/index.php/mc/article/view/3109/
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 Asociación Argentina de Mecánica Computacional
publisher.none.fl_str_mv Asociación Argentina de Mecánica Computacional
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
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score 12.982451

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