A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm

Autores
Romero Onco, Augusto; Giusti, Sebastián Miguel
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Abstract Topology optimization is a technique in the engineering area that allows obtaining optimal designs of devices, mechanisms, complex structures and even design the microstructure of an auxetic material. Classically, the focus was made on considering the problem of obtaining such designs comprised of only one material. More recently, some efforts have been made to incorporate more than one material to the optimization problem. The present work addresses the topology optimization problem considering multiple materials on a fixed project domain. For the geometric description of the material domains, the concept of multiple level sets has been used, meanwhile, its nucleation and evolution are governed by functions constructed from the topological derivative of a functional to be minimized. The topological optimization algorithm developed to solve the multi-material topological optimization problem is described and its optimality condition is well established. Numerical examples applied to planar elasticity, bending plate, bi-dimensional steady-state heat transfer and optimal design of piezoelectric actuator problems are presented.
Fil: Romero Onco, Augusto. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Grupo de Estudio sobre Calidad de Potencia; Argentina.
Fil: Giusti, Sebastián Miguel. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Departamento Ingeniería Civil; Argentina.
Fil: Giusti, Sebastián Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Peer Reviewed
Fuente
Computer Methods in Applied Mechanics and Engineering 366 (2020)
Materia
Topological derivative
Multi-material optimization
Level-set method
Optimality condition
Nivel de accesibilidad
acceso abierto
Condiciones de uso
Attribution-NonCommercial-NoDerivatives 4.0 International
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/14751
Acceder
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network_acronym_str RIAUTN
repository_id_str a
network_name_str Repositorio Institucional Abierto (UTN)
spelling A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithmRomero Onco, AugustoGiusti, Sebastián MiguelTopological derivativeMulti-material optimizationLevel-set methodOptimality conditionAbstract Topology optimization is a technique in the engineering area that allows obtaining optimal designs of devices, mechanisms, complex structures and even design the microstructure of an auxetic material. Classically, the focus was made on considering the problem of obtaining such designs comprised of only one material. More recently, some efforts have been made to incorporate more than one material to the optimization problem. The present work addresses the topology optimization problem considering multiple materials on a fixed project domain. For the geometric description of the material domains, the concept of multiple level sets has been used, meanwhile, its nucleation and evolution are governed by functions constructed from the topological derivative of a functional to be minimized. The topological optimization algorithm developed to solve the multi-material topological optimization problem is described and its optimality condition is well established. Numerical examples applied to planar elasticity, bending plate, bi-dimensional steady-state heat transfer and optimal design of piezoelectric actuator problems are presented.Fil: Romero Onco, Augusto. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Grupo de Estudio sobre Calidad de Potencia; Argentina.Fil: Giusti, Sebastián Miguel. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Departamento Ingeniería Civil; Argentina.Fil: Giusti, Sebastián Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.Peer ReviewedScienceDirect de Elsevier2026-03-11T18:42:34Z2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articulopdfapplication/pdfComputer Methods in Applied Mechanics and Engineering0045-7825https://hdl.handle.net/20.500.12272/14751https://doi.org/10.1016/j.cma.2020.113044Computer Methods in Applied Mechanics and Engineering 366 (2020)reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacionalenginfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Romero Onco, Augusto; Giusti, Sebastián Miguelhttps://creativecommons.org/licenses/by-nc-nd/4.0/2026-09-24T12:46:39Zoai:ria.utn.edu.ar:20.500.12272/14751instacron:UTNInstitucionalhttp://ria.utn.edu.ar/Universidad públicaNo correspondehttp://ria.utn.edu.ar/oaigestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:a2026-09-24 12:46:40.514Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm
title A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm
spellingShingle A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm
Romero Onco, Augusto
Topological derivative
Multi-material optimization
Level-set method
Optimality condition
title_short A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm
title_full A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm
title_fullStr A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm
title_full_unstemmed A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm
title_sort A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm
dc.creator.none.fl_str_mv Romero Onco, Augusto
Giusti, Sebastián Miguel
author Romero Onco, Augusto
author_facet Romero Onco, Augusto
Giusti, Sebastián Miguel
author_role author
author2 Giusti, Sebastián Miguel
author2_role author
dc.subject.none.fl_str_mv Topological derivative
Multi-material optimization
Level-set method
Optimality condition
topic Topological derivative
Multi-material optimization
Level-set method
Optimality condition
dc.description.none.fl_txt_mv Abstract Topology optimization is a technique in the engineering area that allows obtaining optimal designs of devices, mechanisms, complex structures and even design the microstructure of an auxetic material. Classically, the focus was made on considering the problem of obtaining such designs comprised of only one material. More recently, some efforts have been made to incorporate more than one material to the optimization problem. The present work addresses the topology optimization problem considering multiple materials on a fixed project domain. For the geometric description of the material domains, the concept of multiple level sets has been used, meanwhile, its nucleation and evolution are governed by functions constructed from the topological derivative of a functional to be minimized. The topological optimization algorithm developed to solve the multi-material topological optimization problem is described and its optimality condition is well established. Numerical examples applied to planar elasticity, bending plate, bi-dimensional steady-state heat transfer and optimal design of piezoelectric actuator problems are presented.
Fil: Romero Onco, Augusto. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Grupo de Estudio sobre Calidad de Potencia; Argentina.
Fil: Giusti, Sebastián Miguel. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Departamento Ingeniería Civil; Argentina.
Fil: Giusti, Sebastián Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Peer Reviewed
description Abstract Topology optimization is a technique in the engineering area that allows obtaining optimal designs of devices, mechanisms, complex structures and even design the microstructure of an auxetic material. Classically, the focus was made on considering the problem of obtaining such designs comprised of only one material. More recently, some efforts have been made to incorporate more than one material to the optimization problem. The present work addresses the topology optimization problem considering multiple materials on a fixed project domain. For the geometric description of the material domains, the concept of multiple level sets has been used, meanwhile, its nucleation and evolution are governed by functions constructed from the topological derivative of a functional to be minimized. The topological optimization algorithm developed to solve the multi-material topological optimization problem is described and its optimality condition is well established. Numerical examples applied to planar elasticity, bending plate, bi-dimensional steady-state heat transfer and optimal design of piezoelectric actuator problems are presented.
publishDate 2020
dc.date.none.fl_str_mv 2020
2026-03-11T18:42:34Z
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 Computer Methods in Applied Mechanics and Engineering
0045-7825
https://hdl.handle.net/20.500.12272/14751
https://doi.org/10.1016/j.cma.2020.113044
identifier_str_mv Computer Methods in Applied Mechanics and Engineering
0045-7825
url https://hdl.handle.net/20.500.12272/14751
https://doi.org/10.1016/j.cma.2020.113044
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Romero Onco, Augusto; Giusti, Sebastián Miguel
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Romero Onco, Augusto; Giusti, Sebastián Miguel
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv pdf
application/pdf
dc.publisher.none.fl_str_mv ScienceDirect de Elsevier
publisher.none.fl_str_mv ScienceDirect de Elsevier
dc.source.none.fl_str_mv Computer Methods in Applied Mechanics and Engineering 366 (2020)
reponame:Repositorio Institucional Abierto (UTN)
instname:Universidad Tecnológica Nacional
reponame_str Repositorio Institucional Abierto (UTN)
collection Repositorio Institucional Abierto (UTN)
instname_str Universidad Tecnológica Nacional
repository.name.fl_str_mv Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacional
repository.mail.fl_str_mv gestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.ar
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score 13.24418

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