Locking in the incompressible limit: pseudo-divergence-free element free Galerkin

The definitive version is available at http://www3.interscience.wiley.com/journal/104554155/abstract

Detalhes bibliográficos
Autores: Vidal Seguí, Yolanda|||0000-0003-4964-6948, Villon, Pierre, Huerta, Antonio|||0000-0003-4198-3798
Tipo de documento: artigo
Data de publicação:2003
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/8468
Acesso em linha:https://hdl.handle.net/2117/8468
https://dx.doi.org/10.1002/cnm.631
Access Level:Acceso aberto
Palavra-chave:Galerkin methods
incompressible locking
element free Galerkin
meshless
mesh free
difuse derivatives
Galerkin, Mètodes de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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oai_identifier_str oai:upcommons.upc.edu:2117/8468
network_acronym_str ES
network_name_str España
repository_id_str
spelling Locking in the incompressible limit: pseudo-divergence-free element free GalerkinVidal Seguí, Yolanda|||0000-0003-4964-6948Villon, PierreHuerta, Antonio|||0000-0003-4198-3798Galerkin methodsincompressible lockingelement free Galerkinmeshlessmesh freedifuse derivativesGalerkin, Mètodes deÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsThe definitive version is available at http://www3.interscience.wiley.com/journal/104554155/abstractLocking in finite elements has been a major concern since its early developments. It appears because poor numerical interpolation leads to an over-constrained system. This paper proposes a new formulation that asymptotically suppresses locking for the element free Galerkin (EFG) method in incompressible limit, i.e. the so-called volumetric locking. Originally it was claimed that EFG did not present volumetric locking. However, recently, performing a modal analysis, the senior author has shown that EFG presents volumetric locking. In fact, it is concluded that an increase of the dilation parameter attenuates, but never suppresses, the volumetric locking and that, as in standard finite elements, an increase in the order of reproducibility (interpolation degree) reduces the relative number of locking modes. Here an improved formulation of the EFG method is proposed in order to alleviate volumetric locking.Diffuse derivatives are defined in the thesis of the second author and their convergence to the derivatives of the exact solution, when the radius of the support goes to zero (for a fixed dilation parameter), it is proved. Therefore, diffuse divergence converges to the exact divergence. Since the diffuse divergence-free condition can be imposed a priori, new interpolation functions are defined that asymptotically verify the incompressibility condition. Modal analysis and numerical results for classical benchmark tests in solids corroborate this issue.Peer Reviewed20032003-09-0120102010-07-29journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/8468https://dx.doi.org/10.1002/cnm.631reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/84682026-05-27T15:37:01Z
dc.title.none.fl_str_mv Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
title Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
spellingShingle Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
Vidal Seguí, Yolanda|||0000-0003-4964-6948
Galerkin methods
incompressible locking
element free Galerkin
meshless
mesh free
difuse derivatives
Galerkin, Mètodes de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
title_short Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
title_full Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
title_fullStr Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
title_full_unstemmed Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
title_sort Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
dc.creator.none.fl_str_mv Vidal Seguí, Yolanda|||0000-0003-4964-6948
Villon, Pierre
Huerta, Antonio|||0000-0003-4198-3798
author Vidal Seguí, Yolanda|||0000-0003-4964-6948
author_facet Vidal Seguí, Yolanda|||0000-0003-4964-6948
Villon, Pierre
Huerta, Antonio|||0000-0003-4198-3798
author_role author
author2 Villon, Pierre
Huerta, Antonio|||0000-0003-4198-3798
author2_role author
author
dc.subject.none.fl_str_mv Galerkin methods
incompressible locking
element free Galerkin
meshless
mesh free
difuse derivatives
Galerkin, Mètodes de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
topic Galerkin methods
incompressible locking
element free Galerkin
meshless
mesh free
difuse derivatives
Galerkin, Mètodes de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
description The definitive version is available at http://www3.interscience.wiley.com/journal/104554155/abstract
publishDate 2003
dc.date.none.fl_str_mv 2003
2003-09-01
2010
2010-07-29
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/8468
https://dx.doi.org/10.1002/cnm.631
url https://hdl.handle.net/2117/8468
https://dx.doi.org/10.1002/cnm.631
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869406841545424896
score 15.301603

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