Topological derivative-based topology optimization of structures subject to multiple load-cases
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Latin American journal of solids and structures (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000500834 |
Resumo: | AbstractThe topological derivative measures the sensitivity of a shape functional with respect to an infinitesimal singular domain perturbation, such as the insertion of holes, inclusions or source-terms. The topological derivative has been successfully applied in obtaining the optimal topology for a large class of physics and engineering problems. In this paper the topological derivative is applied in the context of topology optimization of structures subject to multiple load-cases. In particular, the structural compliance under plane stress or plane strain assumptions is minimized under volume constraint. For the sake of completeness, the topological asymptotic analysis of the total potential energy with respect to the nucleation of a small circular inclusion is developed in all details. Since we are dealing with multiple load-cases, a multi-objective optimization problem is proposed and the topological sensitivity is obtained as a sum of the topological derivatives associated with each load-case. The volume constraint is imposed through the Augmented Lagrangian Method. The obtained result is used to devise a topology optimization algorithm based on the topological derivative together with a level-set domain representation method. Finally, several finite element-based examples of structural optimization are presented. |
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Latin American journal of solids and structures (Online) |
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Topological derivative-based topology optimization of structures subject to multiple load-casesTopology OptimizationTopological DerivativeMultiple Load-CasesPlane StressPlane StrainAbstractThe topological derivative measures the sensitivity of a shape functional with respect to an infinitesimal singular domain perturbation, such as the insertion of holes, inclusions or source-terms. The topological derivative has been successfully applied in obtaining the optimal topology for a large class of physics and engineering problems. In this paper the topological derivative is applied in the context of topology optimization of structures subject to multiple load-cases. In particular, the structural compliance under plane stress or plane strain assumptions is minimized under volume constraint. For the sake of completeness, the topological asymptotic analysis of the total potential energy with respect to the nucleation of a small circular inclusion is developed in all details. Since we are dealing with multiple load-cases, a multi-objective optimization problem is proposed and the topological sensitivity is obtained as a sum of the topological derivatives associated with each load-case. The volume constraint is imposed through the Augmented Lagrangian Method. The obtained result is used to devise a topology optimization algorithm based on the topological derivative together with a level-set domain representation method. Finally, several finite element-based examples of structural optimization are presented.Associação Brasileira de Ciências Mecânicas2015-05-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000500834Latin American Journal of Solids and Structures v.12 n.5 2015reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78251252info:eu-repo/semantics/openAccessLopes,Cinthia GomesSantos,Renatha Batista dosNovotny,Antonio Andréeng2015-09-28T00:00:00Zoai:scielo:S1679-78252015000500834Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2015-09-28T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Topological derivative-based topology optimization of structures subject to multiple load-cases |
title |
Topological derivative-based topology optimization of structures subject to multiple load-cases |
spellingShingle |
Topological derivative-based topology optimization of structures subject to multiple load-cases Lopes,Cinthia Gomes Topology Optimization Topological Derivative Multiple Load-Cases Plane Stress Plane Strain |
title_short |
Topological derivative-based topology optimization of structures subject to multiple load-cases |
title_full |
Topological derivative-based topology optimization of structures subject to multiple load-cases |
title_fullStr |
Topological derivative-based topology optimization of structures subject to multiple load-cases |
title_full_unstemmed |
Topological derivative-based topology optimization of structures subject to multiple load-cases |
title_sort |
Topological derivative-based topology optimization of structures subject to multiple load-cases |
author |
Lopes,Cinthia Gomes |
author_facet |
Lopes,Cinthia Gomes Santos,Renatha Batista dos Novotny,Antonio André |
author_role |
author |
author2 |
Santos,Renatha Batista dos Novotny,Antonio André |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Lopes,Cinthia Gomes Santos,Renatha Batista dos Novotny,Antonio André |
dc.subject.por.fl_str_mv |
Topology Optimization Topological Derivative Multiple Load-Cases Plane Stress Plane Strain |
topic |
Topology Optimization Topological Derivative Multiple Load-Cases Plane Stress Plane Strain |
description |
AbstractThe topological derivative measures the sensitivity of a shape functional with respect to an infinitesimal singular domain perturbation, such as the insertion of holes, inclusions or source-terms. The topological derivative has been successfully applied in obtaining the optimal topology for a large class of physics and engineering problems. In this paper the topological derivative is applied in the context of topology optimization of structures subject to multiple load-cases. In particular, the structural compliance under plane stress or plane strain assumptions is minimized under volume constraint. For the sake of completeness, the topological asymptotic analysis of the total potential energy with respect to the nucleation of a small circular inclusion is developed in all details. Since we are dealing with multiple load-cases, a multi-objective optimization problem is proposed and the topological sensitivity is obtained as a sum of the topological derivatives associated with each load-case. The volume constraint is imposed through the Augmented Lagrangian Method. The obtained result is used to devise a topology optimization algorithm based on the topological derivative together with a level-set domain representation method. Finally, several finite element-based examples of structural optimization are presented. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-05-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000500834 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000500834 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78251252 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
dc.source.none.fl_str_mv |
Latin American Journal of Solids and Structures v.12 n.5 2015 reponame:Latin American journal of solids and structures (Online) instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM |
instname_str |
Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
instacron_str |
ABCM |
institution |
ABCM |
reponame_str |
Latin American journal of solids and structures (Online) |
collection |
Latin American journal of solids and structures (Online) |
repository.name.fl_str_mv |
Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
repository.mail.fl_str_mv |
abcm@abcm.org.br||maralves@usp.br |
_version_ |
1754302887994851328 |