Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach

Autores
Flores, Fernando Gabriel; Oñate, Eugenio
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper an assumed strain approach is presented in order to improve the membrane behaviour of a thin shell triangular element. The so called Basic Shell Triangle (BST) has three nodes with only translational degrees of freedom and is based on a Total Lagrangian Formulation. As in the original BST element the curvatures are computed resorting to the surrounding elements (patch of four elements). Membrane strains are now also computed from the same patch of elements which leads to a non-conforming membrane behaviour. Despite this non-conformity the element passes the patch test. Large strain plasticity is considered using a logarithmic strain–stress pair. A plane stress behaviour with an additive decomposition of elastic and plastic strains is assumed. A hyperplastic law is considered for the elastic part while for the plastic part an anisotropic quadratic (Hill) yield function with non-linear isotropic hardening is adopted. The element, termed EBST, has been implemented in an explicit (hydro-)code adequate to simulate sheet-stamping processes and in an implicit static/dynamic code. Several examples are given showing the good performance of the enhanced rotation-free shell triangle.
Fil: Flores, Fernando Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Córdoba; Argentina
Fil: Oñate, Eugenio. Centre Internacional de Mètodes Numèrics en Enginyeria; España
Materia
Finite elements
Shells
Rotation-free triangle
Large strains
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:11336/241955
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/241955
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approachFlores, Fernando GabrielOñate, EugenioFinite elementsShellsRotation-free triangleLarge strainshttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2In this paper an assumed strain approach is presented in order to improve the membrane behaviour of a thin shell triangular element. The so called Basic Shell Triangle (BST) has three nodes with only translational degrees of freedom and is based on a Total Lagrangian Formulation. As in the original BST element the curvatures are computed resorting to the surrounding elements (patch of four elements). Membrane strains are now also computed from the same patch of elements which leads to a non-conforming membrane behaviour. Despite this non-conformity the element passes the patch test. Large strain plasticity is considered using a logarithmic strain–stress pair. A plane stress behaviour with an additive decomposition of elastic and plastic strains is assumed. A hyperplastic law is considered for the elastic part while for the plastic part an anisotropic quadratic (Hill) yield function with non-linear isotropic hardening is adopted. The element, termed EBST, has been implemented in an explicit (hydro-)code adequate to simulate sheet-stamping processes and in an implicit static/dynamic code. Several examples are given showing the good performance of the enhanced rotation-free shell triangle.Fil: Flores, Fernando Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Córdoba; ArgentinaFil: Oñate, Eugenio. Centre Internacional de Mètodes Numèrics en Enginyeria; EspañaElsevier Science SA2005-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/241955Flores, Fernando Gabriel; Oñate, Eugenio; Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach; Elsevier Science SA; Computer Methods in Applied Mechanics and Engineering; 194; 6-8; 2-2005; 907-9320045-7825CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S004578250400307Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2003.08.012info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:10:49Zoai:ri.conicet.gov.ar:11336/241955instacron: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 11:10:50.19CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach
title Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach
spellingShingle Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach
Flores, Fernando Gabriel
Finite elements
Shells
Rotation-free triangle
Large strains
title_short Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach
title_full Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach
title_fullStr Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach
title_full_unstemmed Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach
title_sort Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach
dc.creator.none.fl_str_mv Flores, Fernando Gabriel
Oñate, Eugenio
author Flores, Fernando Gabriel
author_facet Flores, Fernando Gabriel
Oñate, Eugenio
author_role author
author2 Oñate, Eugenio
author2_role author
dc.subject.none.fl_str_mv Finite elements
Shells
Rotation-free triangle
Large strains
topic Finite elements
Shells
Rotation-free triangle
Large strains
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv In this paper an assumed strain approach is presented in order to improve the membrane behaviour of a thin shell triangular element. The so called Basic Shell Triangle (BST) has three nodes with only translational degrees of freedom and is based on a Total Lagrangian Formulation. As in the original BST element the curvatures are computed resorting to the surrounding elements (patch of four elements). Membrane strains are now also computed from the same patch of elements which leads to a non-conforming membrane behaviour. Despite this non-conformity the element passes the patch test. Large strain plasticity is considered using a logarithmic strain–stress pair. A plane stress behaviour with an additive decomposition of elastic and plastic strains is assumed. A hyperplastic law is considered for the elastic part while for the plastic part an anisotropic quadratic (Hill) yield function with non-linear isotropic hardening is adopted. The element, termed EBST, has been implemented in an explicit (hydro-)code adequate to simulate sheet-stamping processes and in an implicit static/dynamic code. Several examples are given showing the good performance of the enhanced rotation-free shell triangle.
Fil: Flores, Fernando Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Córdoba; Argentina
Fil: Oñate, Eugenio. Centre Internacional de Mètodes Numèrics en Enginyeria; España
description In this paper an assumed strain approach is presented in order to improve the membrane behaviour of a thin shell triangular element. The so called Basic Shell Triangle (BST) has three nodes with only translational degrees of freedom and is based on a Total Lagrangian Formulation. As in the original BST element the curvatures are computed resorting to the surrounding elements (patch of four elements). Membrane strains are now also computed from the same patch of elements which leads to a non-conforming membrane behaviour. Despite this non-conformity the element passes the patch test. Large strain plasticity is considered using a logarithmic strain–stress pair. A plane stress behaviour with an additive decomposition of elastic and plastic strains is assumed. A hyperplastic law is considered for the elastic part while for the plastic part an anisotropic quadratic (Hill) yield function with non-linear isotropic hardening is adopted. The element, termed EBST, has been implemented in an explicit (hydro-)code adequate to simulate sheet-stamping processes and in an implicit static/dynamic code. Several examples are given showing the good performance of the enhanced rotation-free shell triangle.
publishDate 2005
dc.date.none.fl_str_mv 2005-02
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/11336/241955
Flores, Fernando Gabriel; Oñate, Eugenio; Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach; Elsevier Science SA; Computer Methods in Applied Mechanics and Engineering; 194; 6-8; 2-2005; 907-932
0045-7825
CONICET Digital
CONICET
url http://hdl.handle.net/11336/241955
identifier_str_mv Flores, Fernando Gabriel; Oñate, Eugenio; Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach; Elsevier Science SA; Computer Methods in Applied Mechanics and Engineering; 194; 6-8; 2-2005; 907-932
0045-7825
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/S004578250400307X
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2003.08.012
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 Science SA
publisher.none.fl_str_mv Elsevier Science SA
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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