An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems

Autores
Cavalieri, Federico José; Cardona, Alberto
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A finite element formulation for three dimensional (3D) contact mechanics using a mortar algorithm combined with a mixed penalty-duality formulation from an augmented Lagrangian approach is presented. In this method, no penalty parameter is introduced for the regularisation of the contact problem. The contact approach, based on the mortar method, gives a smooth representation of the contact forces across the bodies interface, and can be used in arbitrarily curved 3D configurations. The projection surface used for integrating the equations is built using a local Cartesian basis defined in each contact element. A unit normal to the contact surface is defined locally at each element, simplifying the implementation and linearisation of the equations. The displayed examples show that the algorithm verifies the contact patch tests exactly, and is applicable to large displacements problems with large sliding motions.
Fil: Cavalieri, Federico José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina
Fil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina
Materia
Contact Mechanics
Augmented Lagrangian
Mortar Method
Mixed Penalty-Duality Approach
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:11336/8764
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/8764
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problemsCavalieri, Federico JoséCardona, AlbertoContact MechanicsAugmented LagrangianMortar MethodMixed Penalty-Duality Approachhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2A finite element formulation for three dimensional (3D) contact mechanics using a mortar algorithm combined with a mixed penalty-duality formulation from an augmented Lagrangian approach is presented. In this method, no penalty parameter is introduced for the regularisation of the contact problem. The contact approach, based on the mortar method, gives a smooth representation of the contact forces across the bodies interface, and can be used in arbitrarily curved 3D configurations. The projection surface used for integrating the equations is built using a local Cartesian basis defined in each contact element. A unit normal to the contact surface is defined locally at each element, simplifying the implementation and linearisation of the equations. The displayed examples show that the algorithm verifies the contact patch tests exactly, and is applicable to large displacements problems with large sliding motions.Fil: Cavalieri, Federico José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; ArgentinaFil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; ArgentinaWiley2013-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/8764Cavalieri, Federico José; Cardona, Alberto; An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems; Wiley; International Journal For Numerical Methods In Engineering; 93; 4; 1-2013; 420-4420029-5981enginfo:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/nme.4391/abstractinfo:eu-repo/semantics/altIdentifier/doi/10.1002/nme.4391info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:45:30Zoai:ri.conicet.gov.ar:11336/8764instacron: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:34982025-09-03 09:45:31.089CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems
title An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems
spellingShingle An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems
Cavalieri, Federico José
Contact Mechanics
Augmented Lagrangian
Mortar Method
Mixed Penalty-Duality Approach
title_short An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems
title_full An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems
title_fullStr An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems
title_full_unstemmed An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems
title_sort An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems
dc.creator.none.fl_str_mv Cavalieri, Federico José
Cardona, Alberto
author Cavalieri, Federico José
author_facet Cavalieri, Federico José
Cardona, Alberto
author_role author
author2 Cardona, Alberto
author2_role author
dc.subject.none.fl_str_mv Contact Mechanics
Augmented Lagrangian
Mortar Method
Mixed Penalty-Duality Approach
topic Contact Mechanics
Augmented Lagrangian
Mortar Method
Mixed Penalty-Duality Approach
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv A finite element formulation for three dimensional (3D) contact mechanics using a mortar algorithm combined with a mixed penalty-duality formulation from an augmented Lagrangian approach is presented. In this method, no penalty parameter is introduced for the regularisation of the contact problem. The contact approach, based on the mortar method, gives a smooth representation of the contact forces across the bodies interface, and can be used in arbitrarily curved 3D configurations. The projection surface used for integrating the equations is built using a local Cartesian basis defined in each contact element. A unit normal to the contact surface is defined locally at each element, simplifying the implementation and linearisation of the equations. The displayed examples show that the algorithm verifies the contact patch tests exactly, and is applicable to large displacements problems with large sliding motions.
Fil: Cavalieri, Federico José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina
Fil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina
description A finite element formulation for three dimensional (3D) contact mechanics using a mortar algorithm combined with a mixed penalty-duality formulation from an augmented Lagrangian approach is presented. In this method, no penalty parameter is introduced for the regularisation of the contact problem. The contact approach, based on the mortar method, gives a smooth representation of the contact forces across the bodies interface, and can be used in arbitrarily curved 3D configurations. The projection surface used for integrating the equations is built using a local Cartesian basis defined in each contact element. A unit normal to the contact surface is defined locally at each element, simplifying the implementation and linearisation of the equations. The displayed examples show that the algorithm verifies the contact patch tests exactly, and is applicable to large displacements problems with large sliding motions.
publishDate 2013
dc.date.none.fl_str_mv 2013-01
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/11336/8764
Cavalieri, Federico José; Cardona, Alberto; An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems; Wiley; International Journal For Numerical Methods In Engineering; 93; 4; 1-2013; 420-442
0029-5981
url http://hdl.handle.net/11336/8764
identifier_str_mv Cavalieri, Federico José; Cardona, Alberto; An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems; Wiley; International Journal For Numerical Methods In Engineering; 93; 4; 1-2013; 420-442
0029-5981
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/nme.4391/abstract
info:eu-repo/semantics/altIdentifier/doi/10.1002/nme.4391
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
application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
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 13.13397

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