Some results in topology optimization applied to biomechanics

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/1822/47158
Resumo: This paper presents the application of a topology optimization algorithm based in homogenization theory. Three examples in structural design will be solved numerically. The first two are formulated such that analytical solutions can also be developed. To obtain this goal, the microscopic structure that we considered is formed of laminates because for this type of composite materials there is an explicit dependence of the homogenized coefficients on the design variables. The last example regards bone remodelling. Here, where it is impossible to obtain the analytical solution, the applied algorithm produces numerical results which are in good agreement with Wolffs Law.
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spelling Some results in topology optimization applied to biomechanicsBiomechanicsBone remodellingElasticityHomogenization theoryOptimality conditionsScience & TechnologyThis paper presents the application of a topology optimization algorithm based in homogenization theory. Three examples in structural design will be solved numerically. The first two are formulated such that analytical solutions can also be developed. To obtain this goal, the microscopic structure that we considered is formed of laminates because for this type of composite materials there is an explicit dependence of the homogenized coefficients on the design variables. The last example regards bone remodelling. Here, where it is impossible to obtain the analytical solution, the applied algorithm produces numerical results which are in good agreement with Wolffs Law.info:eu-repo/semantics/publishedVersionElsevierUniversidade do MinhoMachado, Gaspar J.Trabucho, L.20042004-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/47158eng0045-794910.1016/j.compstruc.2004.03.034info: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:RCAAP2023-07-21T12:09:18Zoai:repositorium.sdum.uminho.pt:1822/47158Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:00:40.700451Repositório 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 Some results in topology optimization applied to biomechanics
title Some results in topology optimization applied to biomechanics
spellingShingle Some results in topology optimization applied to biomechanics
Machado, Gaspar J.
Biomechanics
Bone remodelling
Elasticity
Homogenization theory
Optimality conditions
Science & Technology
title_short Some results in topology optimization applied to biomechanics
title_full Some results in topology optimization applied to biomechanics
title_fullStr Some results in topology optimization applied to biomechanics
title_full_unstemmed Some results in topology optimization applied to biomechanics
title_sort Some results in topology optimization applied to biomechanics
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 Biomechanics
Bone remodelling
Elasticity
Homogenization theory
Optimality conditions
Science & Technology
topic Biomechanics
Bone remodelling
Elasticity
Homogenization theory
Optimality conditions
Science & Technology
description This paper presents the application of a topology optimization algorithm based in homogenization theory. Three examples in structural design will be solved numerically. The first two are formulated such that analytical solutions can also be developed. To obtain this goal, the microscopic structure that we considered is formed of laminates because for this type of composite materials there is an explicit dependence of the homogenized coefficients on the design variables. The last example regards bone remodelling. Here, where it is impossible to obtain the analytical solution, the applied algorithm produces numerical results which are in good agreement with Wolffs Law.
publishDate 2004
dc.date.none.fl_str_mv 2004
2004-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/47158
url http://hdl.handle.net/1822/47158
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0045-7949
10.1016/j.compstruc.2004.03.034
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)
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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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