ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCH

Detalhes bibliográficos
Autor(a) principal: Ubessi, Cristiano J. B.
Data de Publicação: 2017
Outros Autores: Marczak, Rogério J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Interdisciplinar de Pesquisa em Engenharia
Texto Completo: https://periodicos.unb.br/index.php/ripe/article/view/21719
Resumo: This paper presents the implementation of an algorithm for the solution of 3D elastic contact problems with friction using the Boundary Element Method (BEM) with discontinuous elements. A standard BEM implementation is used, and the coupling of the potential contact zone is imposed through a projection function which treats each region independently, and is updated along with the changes to the contact state. The contact restrictions are fulfilled through the augmented Lagrangian, and the solution is found using the Generalized Newton Method with line search. With this method is possible to avoid the calculation of the non-linear derivatives, allowing for a fast solution of the problem. A classic contact problem is solved to evaluate the accuracy of the method and to provide a comparison with analytic solution.
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spelling ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCHFrictional Contact. Boundary Element Method. Discontinuous Elements. Generalized Newton Method with line search.This paper presents the implementation of an algorithm for the solution of 3D elastic contact problems with friction using the Boundary Element Method (BEM) with discontinuous elements. A standard BEM implementation is used, and the coupling of the potential contact zone is imposed through a projection function which treats each region independently, and is updated along with the changes to the contact state. The contact restrictions are fulfilled through the augmented Lagrangian, and the solution is found using the Generalized Newton Method with line search. With this method is possible to avoid the calculation of the non-linear derivatives, allowing for a fast solution of the problem. A classic contact problem is solved to evaluate the accuracy of the method and to provide a comparison with analytic solution.Programa de Pós-Graduação em Integridade de Materiais da Engenharia2017-01-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.unb.br/index.php/ripe/article/view/2171910.26512/ripe.v2i7.21719Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 7 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (II); 186-198Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 7 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (II); 186-1982447-6102reponame:Revista Interdisciplinar de Pesquisa em Engenhariainstname:Universidade de Brasília (UnB)instacron:UNBenghttps://periodicos.unb.br/index.php/ripe/article/view/21719/20031Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPEinfo:eu-repo/semantics/openAccessUbessi, Cristiano J. B.Marczak, Rogério J.2019-06-07T18:37:46Zoai:ojs.pkp.sfu.ca:article/21719Revistahttps://periodicos.unb.br/index.php/ripePUBhttps://periodicos.unb.br/index.php/ripe/oaianflor@unb.br2447-61022447-6102opendoar:2019-06-07T18:37:46Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)false
dc.title.none.fl_str_mv ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCH
title ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCH
spellingShingle ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCH
Ubessi, Cristiano J. B.
Frictional Contact. Boundary Element Method. Discontinuous Elements. Generalized Newton Method with line search.
title_short ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCH
title_full ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCH
title_fullStr ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCH
title_full_unstemmed ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCH
title_sort ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCH
author Ubessi, Cristiano J. B.
author_facet Ubessi, Cristiano J. B.
Marczak, Rogério J.
author_role author
author2 Marczak, Rogério J.
author2_role author
dc.contributor.author.fl_str_mv Ubessi, Cristiano J. B.
Marczak, Rogério J.
dc.subject.por.fl_str_mv Frictional Contact. Boundary Element Method. Discontinuous Elements. Generalized Newton Method with line search.
topic Frictional Contact. Boundary Element Method. Discontinuous Elements. Generalized Newton Method with line search.
description This paper presents the implementation of an algorithm for the solution of 3D elastic contact problems with friction using the Boundary Element Method (BEM) with discontinuous elements. A standard BEM implementation is used, and the coupling of the potential contact zone is imposed through a projection function which treats each region independently, and is updated along with the changes to the contact state. The contact restrictions are fulfilled through the augmented Lagrangian, and the solution is found using the Generalized Newton Method with line search. With this method is possible to avoid the calculation of the non-linear derivatives, allowing for a fast solution of the problem. A classic contact problem is solved to evaluate the accuracy of the method and to provide a comparison with analytic solution.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-25
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.unb.br/index.php/ripe/article/view/21719
10.26512/ripe.v2i7.21719
url https://periodicos.unb.br/index.php/ripe/article/view/21719
identifier_str_mv 10.26512/ripe.v2i7.21719
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.unb.br/index.php/ripe/article/view/21719/20031
dc.rights.driver.fl_str_mv Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Programa de Pós-Graduação em Integridade de Materiais da Engenharia
publisher.none.fl_str_mv Programa de Pós-Graduação em Integridade de Materiais da Engenharia
dc.source.none.fl_str_mv Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 7 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (II); 186-198
Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 7 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (II); 186-198
2447-6102
reponame:Revista Interdisciplinar de Pesquisa em Engenharia
instname:Universidade de Brasília (UnB)
instacron:UNB
instname_str Universidade de Brasília (UnB)
instacron_str UNB
institution UNB
reponame_str Revista Interdisciplinar de Pesquisa em Engenharia
collection Revista Interdisciplinar de Pesquisa em Engenharia
repository.name.fl_str_mv Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)
repository.mail.fl_str_mv anflor@unb.br
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