Locking in the incompressible limit for the element-free Galerkin method

Volumetric locking (locking in the incompressible limit) for linear elastic isotropic materials is studied in the context of the element-free Galerkin method. The modal analysis developed here shows that the number of non-physical locking modes is independent of the dilation parameter (support of th...

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Detalles Bibliográficos
Autores: Huerta, Antonio|||0000-0003-4198-3798, Fernández Méndez, Sonia|||0000-0002-9305-7684
Tipo de recurso: artículo
Fecha de publicación:2001
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/8262
Acceso en línea:https://hdl.handle.net/2117/8262
https://dx.doi.org/10.1002/nme.213
Access Level:acceso abierto
Palabra clave:Galerkin methods
Locking
Volumetric locking
Element-free Galerkin
Meshless
Meshfree
Galerkin, Mètodes de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
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repository_id_str
spelling Locking in the incompressible limit for the element-free Galerkin methodHuerta, Antonio|||0000-0003-4198-3798Fernández Méndez, Sonia|||0000-0002-9305-7684Galerkin methodsLockingVolumetric lockingElement-free GalerkinMeshlessMeshfreeGalerkin, Mètodes deÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèricsVolumetric locking (locking in the incompressible limit) for linear elastic isotropic materials is studied in the context of the element-free Galerkin method. The modal analysis developed here shows that the number of non-physical locking modes is independent of the dilation parameter (support of the interpolation functions). Thus increasing the dilation parameter does not suppress locking. Nevertheless, an increase in the dilation parameter does reduce the energy associated with the non-physical locking modes; thus, in part, it alleviates the locking phenomena. This is shown for linear and quadratic orders of consistency. Moreover, the biquadratic order of consistency, as in finite elements, improves the locking behaviour. Although more locking modes are present in the element-free Galerkin method with quadratic consistency than with standard biquadratic finite elements. Finally, numerical examples are shown to validate the modal analysis. In particular, the conclusions of the modal analysis are also confirmed in an elastoplastic example.Peer ReviewedWiley and Sons20012001-04-0120102010-07-20journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/8262https://dx.doi.org/10.1002/nme.213reponame: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:2117/82622026-05-27T15:37:01Z
dc.title.none.fl_str_mv Locking in the incompressible limit for the element-free Galerkin method
title Locking in the incompressible limit for the element-free Galerkin method
spellingShingle Locking in the incompressible limit for the element-free Galerkin method
Huerta, Antonio|||0000-0003-4198-3798
Galerkin methods
Locking
Volumetric locking
Element-free Galerkin
Meshless
Meshfree
Galerkin, Mètodes de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
title_short Locking in the incompressible limit for the element-free Galerkin method
title_full Locking in the incompressible limit for the element-free Galerkin method
title_fullStr Locking in the incompressible limit for the element-free Galerkin method
title_full_unstemmed Locking in the incompressible limit for the element-free Galerkin method
title_sort Locking in the incompressible limit for the element-free Galerkin method
dc.creator.none.fl_str_mv Huerta, Antonio|||0000-0003-4198-3798
Fernández Méndez, Sonia|||0000-0002-9305-7684
author Huerta, Antonio|||0000-0003-4198-3798
author_facet Huerta, Antonio|||0000-0003-4198-3798
Fernández Méndez, Sonia|||0000-0002-9305-7684
author_role author
author2 Fernández Méndez, Sonia|||0000-0002-9305-7684
author2_role author
dc.subject.none.fl_str_mv Galerkin methods
Locking
Volumetric locking
Element-free Galerkin
Meshless
Meshfree
Galerkin, Mètodes de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
topic Galerkin methods
Locking
Volumetric locking
Element-free Galerkin
Meshless
Meshfree
Galerkin, Mètodes de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
description Volumetric locking (locking in the incompressible limit) for linear elastic isotropic materials is studied in the context of the element-free Galerkin method. The modal analysis developed here shows that the number of non-physical locking modes is independent of the dilation parameter (support of the interpolation functions). Thus increasing the dilation parameter does not suppress locking. Nevertheless, an increase in the dilation parameter does reduce the energy associated with the non-physical locking modes; thus, in part, it alleviates the locking phenomena. This is shown for linear and quadratic orders of consistency. Moreover, the biquadratic order of consistency, as in finite elements, improves the locking behaviour. Although more locking modes are present in the element-free Galerkin method with quadratic consistency than with standard biquadratic finite elements. Finally, numerical examples are shown to validate the modal analysis. In particular, the conclusions of the modal analysis are also confirmed in an elastoplastic example.
publishDate 2001
dc.date.none.fl_str_mv 2001
2001-04-01
2010
2010-07-20
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/2117/8262
https://dx.doi.org/10.1002/nme.213
url https://hdl.handle.net/2117/8262
https://dx.doi.org/10.1002/nme.213
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.publisher.none.fl_str_mv Wiley and Sons
publisher.none.fl_str_mv Wiley and Sons
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
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score 15,300724

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