A further study on the postbuckling of extensible elastic rods

Autores
Filipich, Carlos Pedro; Rosales, Marta Beatriz
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The postbuckling of extensible elastic rods is studied using non-linear geometric models. Accordingly the kinematics and equilibrium are stated. Nine different strain-stress relationships are analyzed. The classical Strength of Materials approach is compared and discussed with other eight constitutive laws stated with Lagrangian and Eulerian descriptions. The well-known Cauchy and Green methods in Continuum Mechanics are alternatively employed. Four of the approaches are worked out until an explicit solution of the secondary equilibrium path is obtained. The analysis is applicable to small strain problems. The linearized problem is presented for all the laws together with numerical results for rods with various values of the extensibility parameter. The secondary equilibrium paths are numerically evaluated to illustrate the degree of discrepancy. A speciffic example that displays unexpected unstable behavior is shown. Both critical loads and postbuckling curves are coincident when the theoretical problem of an inextensible rod is solved. It is shown that even when small strains are addressed, the extensibility in#uence gives rise to disagreement of the postbuckling response when using the different alternatives.
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Rosales, Marta Beatriz. Universidad Nacional del Sur. Departamento de Ingeniería. Area Estabilidad; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Postbuckling
Extensible Rods
Geometrically Non-Linear Analysis
Eulerian And Lagrangian Descriptions
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:11336/35313
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/35313
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network_name_str CONICET Digital (CONICET)
spelling A further study on the postbuckling of extensible elastic rodsFilipich, Carlos PedroRosales, Marta BeatrizPostbucklingExtensible RodsGeometrically Non-Linear AnalysisEulerian And Lagrangian Descriptionshttps://purl.org/becyt/ford/2.11https://purl.org/becyt/ford/2The postbuckling of extensible elastic rods is studied using non-linear geometric models. Accordingly the kinematics and equilibrium are stated. Nine different strain-stress relationships are analyzed. The classical Strength of Materials approach is compared and discussed with other eight constitutive laws stated with Lagrangian and Eulerian descriptions. The well-known Cauchy and Green methods in Continuum Mechanics are alternatively employed. Four of the approaches are worked out until an explicit solution of the secondary equilibrium path is obtained. The analysis is applicable to small strain problems. The linearized problem is presented for all the laws together with numerical results for rods with various values of the extensibility parameter. The secondary equilibrium paths are numerically evaluated to illustrate the degree of discrepancy. A speciffic example that displays unexpected unstable behavior is shown. Both critical loads and postbuckling curves are coincident when the theoretical problem of an inextensible rod is solved. It is shown that even when small strains are addressed, the extensibility in#uence gives rise to disagreement of the postbuckling response when using the different alternatives.Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Universidad Tecnológica Nacional; ArgentinaFil: Rosales, Marta Beatriz. Universidad Nacional del Sur. Departamento de Ingeniería. Area Estabilidad; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier2000-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/35313Filipich, Carlos Pedro; Rosales, Marta Beatriz; A further study on the postbuckling of extensible elastic rods; Elsevier; International Journal Of Non-linear Mechanics; 35; 6; 12-2000; 997-10220020-7462CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0020746299000761info:eu-repo/semantics/altIdentifier/doi/10.1016/S0020-7462(99)00076-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:56:45Zoai:ri.conicet.gov.ar:11336/35313instacron: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:34982025-09-29 09:56:46.108CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A further study on the postbuckling of extensible elastic rods
title A further study on the postbuckling of extensible elastic rods
spellingShingle A further study on the postbuckling of extensible elastic rods
Filipich, Carlos Pedro
Postbuckling
Extensible Rods
Geometrically Non-Linear Analysis
Eulerian And Lagrangian Descriptions
title_short A further study on the postbuckling of extensible elastic rods
title_full A further study on the postbuckling of extensible elastic rods
title_fullStr A further study on the postbuckling of extensible elastic rods
title_full_unstemmed A further study on the postbuckling of extensible elastic rods
title_sort A further study on the postbuckling of extensible elastic rods
dc.creator.none.fl_str_mv Filipich, Carlos Pedro
Rosales, Marta Beatriz
author Filipich, Carlos Pedro
author_facet Filipich, Carlos Pedro
Rosales, Marta Beatriz
author_role author
author2 Rosales, Marta Beatriz
author2_role author
dc.subject.none.fl_str_mv Postbuckling
Extensible Rods
Geometrically Non-Linear Analysis
Eulerian And Lagrangian Descriptions
topic Postbuckling
Extensible Rods
Geometrically Non-Linear Analysis
Eulerian And Lagrangian Descriptions
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.11
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The postbuckling of extensible elastic rods is studied using non-linear geometric models. Accordingly the kinematics and equilibrium are stated. Nine different strain-stress relationships are analyzed. The classical Strength of Materials approach is compared and discussed with other eight constitutive laws stated with Lagrangian and Eulerian descriptions. The well-known Cauchy and Green methods in Continuum Mechanics are alternatively employed. Four of the approaches are worked out until an explicit solution of the secondary equilibrium path is obtained. The analysis is applicable to small strain problems. The linearized problem is presented for all the laws together with numerical results for rods with various values of the extensibility parameter. The secondary equilibrium paths are numerically evaluated to illustrate the degree of discrepancy. A speciffic example that displays unexpected unstable behavior is shown. Both critical loads and postbuckling curves are coincident when the theoretical problem of an inextensible rod is solved. It is shown that even when small strains are addressed, the extensibility in#uence gives rise to disagreement of the postbuckling response when using the different alternatives.
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Rosales, Marta Beatriz. Universidad Nacional del Sur. Departamento de Ingeniería. Area Estabilidad; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description The postbuckling of extensible elastic rods is studied using non-linear geometric models. Accordingly the kinematics and equilibrium are stated. Nine different strain-stress relationships are analyzed. The classical Strength of Materials approach is compared and discussed with other eight constitutive laws stated with Lagrangian and Eulerian descriptions. The well-known Cauchy and Green methods in Continuum Mechanics are alternatively employed. Four of the approaches are worked out until an explicit solution of the secondary equilibrium path is obtained. The analysis is applicable to small strain problems. The linearized problem is presented for all the laws together with numerical results for rods with various values of the extensibility parameter. The secondary equilibrium paths are numerically evaluated to illustrate the degree of discrepancy. A speciffic example that displays unexpected unstable behavior is shown. Both critical loads and postbuckling curves are coincident when the theoretical problem of an inextensible rod is solved. It is shown that even when small strains are addressed, the extensibility in#uence gives rise to disagreement of the postbuckling response when using the different alternatives.
publishDate 2000
dc.date.none.fl_str_mv 2000-12
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/11336/35313
Filipich, Carlos Pedro; Rosales, Marta Beatriz; A further study on the postbuckling of extensible elastic rods; Elsevier; International Journal Of Non-linear Mechanics; 35; 6; 12-2000; 997-1022
0020-7462
CONICET Digital
CONICET
url http://hdl.handle.net/11336/35313
identifier_str_mv Filipich, Carlos Pedro; Rosales, Marta Beatriz; A further study on the postbuckling of extensible elastic rods; Elsevier; International Journal Of Non-linear Mechanics; 35; 6; 12-2000; 997-1022
0020-7462
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0020746299000761
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0020-7462(99)00076-1
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
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score 13.070432

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