A discontinuous quasi upper bound limit analysis approach with sequential linear programming mesh adaptation
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/14761 |
Resumo: | In this paper, a simple discontinuous upper bound limit analysis approach with sequential linear programming mesh adaptation is presented. Rigid, infinitely strong triangular elements with both linear and Bezier curved edges are considered. A possible jump of velocities is allowed at the interfaces between contiguous elements, thus allowing plastic dissipation on curved interfaces. Bezier curved edges are used with the sole aim of improving the element performance when dealing with limit analysis problems involving curved sliding lines. The model performs poorly for unstructured meshes (i.e. at the initial iteration), being unable to reproduce the typical plastic deformation concentration on inclined slip lines. Therefore, an iterative mesh adaptation based on sequential linear programming is proposed. A simple linearization of the non linear constraints is performed, allowing to treat the NLP problem with consolidated LP routines. The choice of inequalities constraints on elements nodes coordinates turns out to be crucial on the algorithm convergence. Several examples are treated, consisting in the determination of failure loads for ductile, purely cohesive and cohesive frictional materials. The results obtained at the final iteration fit well, for all the cases analyzed, previously presented numerical approaches and analytical predictions. |
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A discontinuous quasi upper bound limit analysis approach with sequential linear programming mesh adaptationUpper bound limit analysisRigid elementsInterfacesSequential linear programmingAssociated flow ruleFrictionless and frictional materialsMasonryScience & TechnologyIn this paper, a simple discontinuous upper bound limit analysis approach with sequential linear programming mesh adaptation is presented. Rigid, infinitely strong triangular elements with both linear and Bezier curved edges are considered. A possible jump of velocities is allowed at the interfaces between contiguous elements, thus allowing plastic dissipation on curved interfaces. Bezier curved edges are used with the sole aim of improving the element performance when dealing with limit analysis problems involving curved sliding lines. The model performs poorly for unstructured meshes (i.e. at the initial iteration), being unable to reproduce the typical plastic deformation concentration on inclined slip lines. Therefore, an iterative mesh adaptation based on sequential linear programming is proposed. A simple linearization of the non linear constraints is performed, allowing to treat the NLP problem with consolidated LP routines. The choice of inequalities constraints on elements nodes coordinates turns out to be crucial on the algorithm convergence. Several examples are treated, consisting in the determination of failure loads for ductile, purely cohesive and cohesive frictional materials. The results obtained at the final iteration fit well, for all the cases analyzed, previously presented numerical approaches and analytical predictions.ElsevierUniversidade do MinhoMilani, G.Lourenço, Paulo B.20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/14761eng0020-740310.1016/j.ijmecsci.2008.10.010http://www.sciencedirect.com/info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:01:09Zoai:repositorium.sdum.uminho.pt:1822/14761Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:51:04.804414Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
A discontinuous quasi upper bound limit analysis approach with sequential linear programming mesh adaptation |
title |
A discontinuous quasi upper bound limit analysis approach with sequential linear programming mesh adaptation |
spellingShingle |
A discontinuous quasi upper bound limit analysis approach with sequential linear programming mesh adaptation Milani, G. Upper bound limit analysis Rigid elements Interfaces Sequential linear programming Associated flow rule Frictionless and frictional materials Masonry Science & Technology |
title_short |
A discontinuous quasi upper bound limit analysis approach with sequential linear programming mesh adaptation |
title_full |
A discontinuous quasi upper bound limit analysis approach with sequential linear programming mesh adaptation |
title_fullStr |
A discontinuous quasi upper bound limit analysis approach with sequential linear programming mesh adaptation |
title_full_unstemmed |
A discontinuous quasi upper bound limit analysis approach with sequential linear programming mesh adaptation |
title_sort |
A discontinuous quasi upper bound limit analysis approach with sequential linear programming mesh adaptation |
author |
Milani, G. |
author_facet |
Milani, G. Lourenço, Paulo B. |
author_role |
author |
author2 |
Lourenço, Paulo B. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Milani, G. Lourenço, Paulo B. |
dc.subject.por.fl_str_mv |
Upper bound limit analysis Rigid elements Interfaces Sequential linear programming Associated flow rule Frictionless and frictional materials Masonry Science & Technology |
topic |
Upper bound limit analysis Rigid elements Interfaces Sequential linear programming Associated flow rule Frictionless and frictional materials Masonry Science & Technology |
description |
In this paper, a simple discontinuous upper bound limit analysis approach with sequential linear programming mesh adaptation is presented. Rigid, infinitely strong triangular elements with both linear and Bezier curved edges are considered. A possible jump of velocities is allowed at the interfaces between contiguous elements, thus allowing plastic dissipation on curved interfaces. Bezier curved edges are used with the sole aim of improving the element performance when dealing with limit analysis problems involving curved sliding lines. The model performs poorly for unstructured meshes (i.e. at the initial iteration), being unable to reproduce the typical plastic deformation concentration on inclined slip lines. Therefore, an iterative mesh adaptation based on sequential linear programming is proposed. A simple linearization of the non linear constraints is performed, allowing to treat the NLP problem with consolidated LP routines. The choice of inequalities constraints on elements nodes coordinates turns out to be crucial on the algorithm convergence. Several examples are treated, consisting in the determination of failure loads for ductile, purely cohesive and cohesive frictional materials. The results obtained at the final iteration fit well, for all the cases analyzed, previously presented numerical approaches and analytical predictions. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009 2009-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/1822/14761 |
url |
http://hdl.handle.net/1822/14761 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0020-7403 10.1016/j.ijmecsci.2008.10.010 http://www.sciencedirect.com/ |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799132281386827776 |