Topology Optimization of continuum structures with epsilon-relaxed stress constraints

Detalhes bibliográficos
Autor(a) principal: Guilherme, Carlos Eduardo Marcos
Data de Publicação: 2007
Outros Autores: Fonseca, Jun Sérgio Ono
Tipo de documento: Capítulo de livro
Idioma: eng
Título da fonte: Repositório Institucional da FURG (RI FURG)
Texto Completo: http://repositorio.furg.br/handle/1/6306
Resumo: Topology optimization of linear elastic continuum structures is a challenging problem when considering local stress constraints. The reasons are the singular behavior of the constraint with the density design variables, combined with the large number of constraints even for small finite element meshes. This work presents an alternative formulation for the s-relaxation technique, which provides an workaround for the singularity of the stress constraint. It also presents a new global stress constraint formulation. Derivation of the sensitivities for the constraint by the adjoint method is shown. Results for single and multiple load cases show the potential of the new formulation.
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spelling Guilherme, Carlos Eduardo MarcosFonseca, Jun Sérgio Ono2016-08-12T17:37:50Z2016-08-12T17:37:50Z2007GUILHERME; Carlos Eduardo Marcos; FONSECA, Jun Sérgio Ono. Topology Optimization of continuum structures with epsilon-relaxed stress constraints. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v.1, p. 239-250, 2007. Disponível em: <http://www.lume.ufrgs.br/handle/10183/30286?locale=en>. Acesso em: 19 jun. 2015.1806-3691http://repositorio.furg.br/handle/1/6306Topology optimization of linear elastic continuum structures is a challenging problem when considering local stress constraints. The reasons are the singular behavior of the constraint with the density design variables, combined with the large number of constraints even for small finite element meshes. This work presents an alternative formulation for the s-relaxation technique, which provides an workaround for the singularity of the stress constraint. It also presents a new global stress constraint formulation. Derivation of the sensitivities for the constraint by the adjoint method is shown. Results for single and multiple load cases show the potential of the new formulation.engTopology Optimization of continuum structures with epsilon-relaxed stress constraintsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPartinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da FURG (RI FURG)instname:Universidade Federal do Rio Grande (FURG)instacron:FURGORIGINAL000659428.pdf000659428.pdfapplication/pdf508478https://repositorio.furg.br/bitstream/1/6306/1/000659428.pdfb964822159912596d68770a3c2b3fed1MD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.furg.br/bitstream/1/6306/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52open access1/63062016-08-12 14:37:50.105open accessoai:repositorio.furg.br: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Repositório InstitucionalPUBhttps://repositorio.furg.br/oai/request || http://200.19.254.174/oai/requestopendoar:2016-08-12T17:37:50Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)false
dc.title.pt_BR.fl_str_mv Topology Optimization of continuum structures with epsilon-relaxed stress constraints
title Topology Optimization of continuum structures with epsilon-relaxed stress constraints
spellingShingle Topology Optimization of continuum structures with epsilon-relaxed stress constraints
Guilherme, Carlos Eduardo Marcos
title_short Topology Optimization of continuum structures with epsilon-relaxed stress constraints
title_full Topology Optimization of continuum structures with epsilon-relaxed stress constraints
title_fullStr Topology Optimization of continuum structures with epsilon-relaxed stress constraints
title_full_unstemmed Topology Optimization of continuum structures with epsilon-relaxed stress constraints
title_sort Topology Optimization of continuum structures with epsilon-relaxed stress constraints
author Guilherme, Carlos Eduardo Marcos
author_facet Guilherme, Carlos Eduardo Marcos
Fonseca, Jun Sérgio Ono
author_role author
author2 Fonseca, Jun Sérgio Ono
author2_role author
dc.contributor.author.fl_str_mv Guilherme, Carlos Eduardo Marcos
Fonseca, Jun Sérgio Ono
description Topology optimization of linear elastic continuum structures is a challenging problem when considering local stress constraints. The reasons are the singular behavior of the constraint with the density design variables, combined with the large number of constraints even for small finite element meshes. This work presents an alternative formulation for the s-relaxation technique, which provides an workaround for the singularity of the stress constraint. It also presents a new global stress constraint formulation. Derivation of the sensitivities for the constraint by the adjoint method is shown. Results for single and multiple load cases show the potential of the new formulation.
publishDate 2007
dc.date.issued.fl_str_mv 2007
dc.date.accessioned.fl_str_mv 2016-08-12T17:37:50Z
dc.date.available.fl_str_mv 2016-08-12T17:37:50Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/bookPart
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status_str publishedVersion
dc.identifier.citation.fl_str_mv GUILHERME; Carlos Eduardo Marcos; FONSECA, Jun Sérgio Ono. Topology Optimization of continuum structures with epsilon-relaxed stress constraints. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v.1, p. 239-250, 2007. Disponível em: <http://www.lume.ufrgs.br/handle/10183/30286?locale=en>. Acesso em: 19 jun. 2015.
dc.identifier.uri.fl_str_mv http://repositorio.furg.br/handle/1/6306
dc.identifier.issn.none.fl_str_mv 1806-3691
identifier_str_mv GUILHERME; Carlos Eduardo Marcos; FONSECA, Jun Sérgio Ono. Topology Optimization of continuum structures with epsilon-relaxed stress constraints. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v.1, p. 239-250, 2007. Disponível em: <http://www.lume.ufrgs.br/handle/10183/30286?locale=en>. Acesso em: 19 jun. 2015.
1806-3691
url http://repositorio.furg.br/handle/1/6306
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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bitstream.url.fl_str_mv https://repositorio.furg.br/bitstream/1/6306/1/000659428.pdf
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