Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory
Autor(a) principal: | |
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Data de Publicação: | 2020 |
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=S1679-78252020000800604 |
Resumo: | Abstract Topology optimization is a well-suited method to establish the best material distribution inside an analysis domain. It is common to observe some numerical instabilities in its gradient-based version, such as the checkerboard pattern, mesh dependence, and local minima. This research demonstrates the generalized finite-volume theory's checkerboard-free property by performing topology optimization algorithms without filtering techniques. The formation of checkerboard regions is associated with the finite element method's displacement field assumptions, where the equilibrium and continuity conditions are satisfied through the element nodes. On the other hand, the generalized finite-volume theory satisfies the continuity conditions between common faces of adjacent subvolumes, which is more likely from the continuum mechanics point of view. Also, the topology optimization algorithms based on the generalized finite-volume theory are performed using a mesh independent filter that regularizes the subvolume sensitivities, providing optimum topologies that avoid the mesh dependence and length scale issues. |
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Latin American journal of solids and structures (Online) |
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Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theoryTopology optimizationcheckerboard-free approachgeneralized finite-volume theorycontinuum elastic structuresand finite element methodAbstract Topology optimization is a well-suited method to establish the best material distribution inside an analysis domain. It is common to observe some numerical instabilities in its gradient-based version, such as the checkerboard pattern, mesh dependence, and local minima. This research demonstrates the generalized finite-volume theory's checkerboard-free property by performing topology optimization algorithms without filtering techniques. The formation of checkerboard regions is associated with the finite element method's displacement field assumptions, where the equilibrium and continuity conditions are satisfied through the element nodes. On the other hand, the generalized finite-volume theory satisfies the continuity conditions between common faces of adjacent subvolumes, which is more likely from the continuum mechanics point of view. Also, the topology optimization algorithms based on the generalized finite-volume theory are performed using a mesh independent filter that regularizes the subvolume sensitivities, providing optimum topologies that avoid the mesh dependence and length scale issues.Associação Brasileira de Ciências Mecânicas2020-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252020000800604Latin American Journal of Solids and Structures v.17 n.8 2020reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78256053info:eu-repo/semantics/openAccessAraujo,Marcelo Vitor OliveiraLages,Eduardo NobreCavalcante,Márcio André Araújoeng2020-11-05T00:00:00Zoai:scielo:S1679-78252020000800604Revistahttp://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:2020-11-05T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory |
title |
Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory |
spellingShingle |
Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory Araujo,Marcelo Vitor Oliveira Topology optimization checkerboard-free approach generalized finite-volume theory continuum elastic structures and finite element method |
title_short |
Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory |
title_full |
Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory |
title_fullStr |
Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory |
title_full_unstemmed |
Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory |
title_sort |
Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory |
author |
Araujo,Marcelo Vitor Oliveira |
author_facet |
Araujo,Marcelo Vitor Oliveira Lages,Eduardo Nobre Cavalcante,Márcio André Araújo |
author_role |
author |
author2 |
Lages,Eduardo Nobre Cavalcante,Márcio André Araújo |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Araujo,Marcelo Vitor Oliveira Lages,Eduardo Nobre Cavalcante,Márcio André Araújo |
dc.subject.por.fl_str_mv |
Topology optimization checkerboard-free approach generalized finite-volume theory continuum elastic structures and finite element method |
topic |
Topology optimization checkerboard-free approach generalized finite-volume theory continuum elastic structures and finite element method |
description |
Abstract Topology optimization is a well-suited method to establish the best material distribution inside an analysis domain. It is common to observe some numerical instabilities in its gradient-based version, such as the checkerboard pattern, mesh dependence, and local minima. This research demonstrates the generalized finite-volume theory's checkerboard-free property by performing topology optimization algorithms without filtering techniques. The formation of checkerboard regions is associated with the finite element method's displacement field assumptions, where the equilibrium and continuity conditions are satisfied through the element nodes. On the other hand, the generalized finite-volume theory satisfies the continuity conditions between common faces of adjacent subvolumes, which is more likely from the continuum mechanics point of view. Also, the topology optimization algorithms based on the generalized finite-volume theory are performed using a mesh independent filter that regularizes the subvolume sensitivities, providing optimum topologies that avoid the mesh dependence and length scale issues. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-01-01 |
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=S1679-78252020000800604 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252020000800604 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78256053 |
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.17 n.8 2020 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_ |
1754302890484170752 |