Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects

Autores
Carvalho, F. S.; Ruscheinsky, D.; Giusti, Sebastian Miguel; Anflor, Carla; Novotny, A. A.
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work, the topological derivatives of L2 and energy norms associated with the solution to Kirchhoff and Reissner-Mindlin plate bending models are introduced. Based on existing theoretical results, closed forms of the sensitivities are presented. A zero-order term is introduced in the equilibrium equations, which allows for adapting the obtained sensitivities to the context of topology optimization of plates under elastic support and free vibration condition as well. The resulting analytical formulae are used together with a level-set domain representation method to devise a simple topology design algorithm. Several finite element-based representative numerical experiments are presented showing its applications to the compliance minimization and eigenvalue maximization of Kirchhoff as well as Reissner-Mindlin plate structures under bending effects.
Fil: Carvalho, F. S.. Universidade do Brasília; Brasil
Fil: Ruscheinsky, D.. Universidade do Brasília; Brasil
Fil: Giusti, Sebastian Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Tecnología Química. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación y Tecnología Química; Argentina
Fil: Anflor, Carla. Universidade do Brasília; Brasil
Fil: Novotny, A. A.. Ministério da Ciência, Tecnologia e Inovações. Laboratório Nacional de Computação Científica; Brasil
Materia
COMPLIANCE MINIMIZATION
EIGENVALUE MAXIMIZATION
OPTIMAL DESIGN OF PLATES
TOPOLOGICAL DERIVATIVE
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/150010
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Topological Derivative-Based Topology Optimization of Plate Structures Under Bending EffectsCarvalho, F. S.Ruscheinsky, D.Giusti, Sebastian MiguelAnflor, CarlaNovotny, A. A.COMPLIANCE MINIMIZATIONEIGENVALUE MAXIMIZATIONOPTIMAL DESIGN OF PLATESTOPOLOGICAL DERIVATIVEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1https://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2https://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2In this work, the topological derivatives of L2 and energy norms associated with the solution to Kirchhoff and Reissner-Mindlin plate bending models are introduced. Based on existing theoretical results, closed forms of the sensitivities are presented. A zero-order term is introduced in the equilibrium equations, which allows for adapting the obtained sensitivities to the context of topology optimization of plates under elastic support and free vibration condition as well. The resulting analytical formulae are used together with a level-set domain representation method to devise a simple topology design algorithm. Several finite element-based representative numerical experiments are presented showing its applications to the compliance minimization and eigenvalue maximization of Kirchhoff as well as Reissner-Mindlin plate structures under bending effects.Fil: Carvalho, F. S.. Universidade do Brasília; BrasilFil: Ruscheinsky, D.. Universidade do Brasília; BrasilFil: Giusti, Sebastian Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Tecnología Química. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación y Tecnología Química; ArgentinaFil: Anflor, Carla. Universidade do Brasília; BrasilFil: Novotny, A. A.. Ministério da Ciência, Tecnologia e Inovações. Laboratório Nacional de Computação Científica; BrasilSpringer2021-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/150010Carvalho, F. S.; Ruscheinsky, D.; Giusti, Sebastian Miguel; Anflor, Carla; Novotny, A. A.; Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects; Springer; Structural and Multidisciplinary Optimization; 63; 2; 2-2021; 617-6301615-147X1615-1488CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00158-020-02710-4info:eu-repo/semantics/altIdentifier/doi/10.1007/s00158-020-02710-4info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:22:42Zoai:ri.conicet.gov.ar:11336/150010instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:22:42.762CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects
title Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects
spellingShingle Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects
Carvalho, F. S.
COMPLIANCE MINIMIZATION
EIGENVALUE MAXIMIZATION
OPTIMAL DESIGN OF PLATES
TOPOLOGICAL DERIVATIVE
title_short Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects
title_full Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects
title_fullStr Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects
title_full_unstemmed Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects
title_sort Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects
dc.creator.none.fl_str_mv Carvalho, F. S.
Ruscheinsky, D.
Giusti, Sebastian Miguel
Anflor, Carla
Novotny, A. A.
author Carvalho, F. S.
author_facet Carvalho, F. S.
Ruscheinsky, D.
Giusti, Sebastian Miguel
Anflor, Carla
Novotny, A. A.
author_role author
author2 Ruscheinsky, D.
Giusti, Sebastian Miguel
Anflor, Carla
Novotny, A. A.
author2_role author
author
author
author
dc.subject.none.fl_str_mv COMPLIANCE MINIMIZATION
EIGENVALUE MAXIMIZATION
OPTIMAL DESIGN OF PLATES
TOPOLOGICAL DERIVATIVE
topic COMPLIANCE MINIMIZATION
EIGENVALUE MAXIMIZATION
OPTIMAL DESIGN OF PLATES
TOPOLOGICAL DERIVATIVE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv In this work, the topological derivatives of L2 and energy norms associated with the solution to Kirchhoff and Reissner-Mindlin plate bending models are introduced. Based on existing theoretical results, closed forms of the sensitivities are presented. A zero-order term is introduced in the equilibrium equations, which allows for adapting the obtained sensitivities to the context of topology optimization of plates under elastic support and free vibration condition as well. The resulting analytical formulae are used together with a level-set domain representation method to devise a simple topology design algorithm. Several finite element-based representative numerical experiments are presented showing its applications to the compliance minimization and eigenvalue maximization of Kirchhoff as well as Reissner-Mindlin plate structures under bending effects.
Fil: Carvalho, F. S.. Universidade do Brasília; Brasil
Fil: Ruscheinsky, D.. Universidade do Brasília; Brasil
Fil: Giusti, Sebastian Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Tecnología Química. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación y Tecnología Química; Argentina
Fil: Anflor, Carla. Universidade do Brasília; Brasil
Fil: Novotny, A. A.. Ministério da Ciência, Tecnologia e Inovações. Laboratório Nacional de Computação Científica; Brasil
description In this work, the topological derivatives of L2 and energy norms associated with the solution to Kirchhoff and Reissner-Mindlin plate bending models are introduced. Based on existing theoretical results, closed forms of the sensitivities are presented. A zero-order term is introduced in the equilibrium equations, which allows for adapting the obtained sensitivities to the context of topology optimization of plates under elastic support and free vibration condition as well. The resulting analytical formulae are used together with a level-set domain representation method to devise a simple topology design algorithm. Several finite element-based representative numerical experiments are presented showing its applications to the compliance minimization and eigenvalue maximization of Kirchhoff as well as Reissner-Mindlin plate structures under bending effects.
publishDate 2021
dc.date.none.fl_str_mv 2021-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/150010
Carvalho, F. S.; Ruscheinsky, D.; Giusti, Sebastian Miguel; Anflor, Carla; Novotny, A. A.; Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects; Springer; Structural and Multidisciplinary Optimization; 63; 2; 2-2021; 617-630
1615-147X
1615-1488
CONICET Digital
CONICET
url http://hdl.handle.net/11336/150010
identifier_str_mv Carvalho, F. S.; Ruscheinsky, D.; Giusti, Sebastian Miguel; Anflor, Carla; Novotny, A. A.; Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects; Springer; Structural and Multidisciplinary Optimization; 63; 2; 2-2021; 617-630
1615-147X
1615-1488
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00158-020-02710-4
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00158-020-02710-4
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614219231657984
score 13.070432

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