Analytical and numerical solutions for a class of optimization problems in elasticity

Detalhes bibliográficos
Autor(a) principal: Machado, Gaspar J.
Data de Publicação: 2004
Outros Autores: Trabucho, L.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/4438
Resumo: The subject of topology optimization methods in structural de- sign has increased rapidly since the publication of [?], where some ideas from homogenization theory were put into practice. Since then, several engineering applications have been developed successfully. However, in the literature, there is a lack of analytical solutions, even for simple cases, which might help in the validation of the numerical results. In this work, we develop analytical solu- tions for simple minimum compliance problems, in the framework of elasticity theory. We compare these analytical solutions with numerical results obtained via an algorithm proposed in [?].
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spelling Analytical and numerical solutions for a class of optimization problems in elasticityElasticityHomogenization theoryOptimality conditionsScience & TechnologyThe subject of topology optimization methods in structural de- sign has increased rapidly since the publication of [?], where some ideas from homogenization theory were put into practice. Since then, several engineering applications have been developed successfully. However, in the literature, there is a lack of analytical solutions, even for simple cases, which might help in the validation of the numerical results. In this work, we develop analytical solu- tions for simple minimum compliance problems, in the framework of elasticity theory. We compare these analytical solutions with numerical results obtained via an algorithm proposed in [?].American Institute of Mathematical Sciences (AIMS)Universidade do MinhoMachado, Gaspar J.Trabucho, L.2004-112004-11-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/4438eng"Discrete and Continuous Dynamical Systems. Series B". ISSN 1531-3492. 4:4 (2004) 1013-1032.1531-349210.3934/dcdsb.2004.4.1013http://aimsciences.org/journals/dcdsB/dcdsb_online.jspinfo: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:RCAAP2023-07-21T12:33:18Zoai:repositorium.sdum.uminho.pt:1822/4438Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:28:47.616072Repositório 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 Analytical and numerical solutions for a class of optimization problems in elasticity
title Analytical and numerical solutions for a class of optimization problems in elasticity
spellingShingle Analytical and numerical solutions for a class of optimization problems in elasticity
Machado, Gaspar J.
Elasticity
Homogenization theory
Optimality conditions
Science & Technology
title_short Analytical and numerical solutions for a class of optimization problems in elasticity
title_full Analytical and numerical solutions for a class of optimization problems in elasticity
title_fullStr Analytical and numerical solutions for a class of optimization problems in elasticity
title_full_unstemmed Analytical and numerical solutions for a class of optimization problems in elasticity
title_sort Analytical and numerical solutions for a class of optimization problems in elasticity
author Machado, Gaspar J.
author_facet Machado, Gaspar J.
Trabucho, L.
author_role author
author2 Trabucho, L.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Machado, Gaspar J.
Trabucho, L.
dc.subject.por.fl_str_mv Elasticity
Homogenization theory
Optimality conditions
Science & Technology
topic Elasticity
Homogenization theory
Optimality conditions
Science & Technology
description The subject of topology optimization methods in structural de- sign has increased rapidly since the publication of [?], where some ideas from homogenization theory were put into practice. Since then, several engineering applications have been developed successfully. However, in the literature, there is a lack of analytical solutions, even for simple cases, which might help in the validation of the numerical results. In this work, we develop analytical solu- tions for simple minimum compliance problems, in the framework of elasticity theory. We compare these analytical solutions with numerical results obtained via an algorithm proposed in [?].
publishDate 2004
dc.date.none.fl_str_mv 2004-11
2004-11-01T00:00:00Z
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/1822/4438
url http://hdl.handle.net/1822/4438
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Discrete and Continuous Dynamical Systems. Series B". ISSN 1531-3492. 4:4 (2004) 1013-1032.
1531-3492
10.3934/dcdsb.2004.4.1013
http://aimsciences.org/journals/dcdsB/dcdsb_online.jsp
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 American Institute of Mathematical Sciences (AIMS)
publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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
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