Topological derivative-based optimization of micro-structures considering different multi-scale models

Autores
De Souza Neto, Eduardo Alberto; Amstutz, Samuel; Giusti, Sebastian Miguel; Novotny, Antonio André
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A recently proposed algorithm for micro-structural optimization, based on the concept of topological derivative and a level-set domain representation, is applied to the synthesis of elastic and heat conducting bi-material micro-structures. The macroscopic properties are estimated by means of a family of multi-scale constitutive theories where the macroscopic strain and stress tensors (temperature gradient and heat flux vector in the heat conducting case) are defined as volume averages of their microscopic counterparts over a Representative Volume Element (RVE). Several finite element-based examples of micro-structural optimization are presented. Three multi-scale models, providing an upper and a lower bound for the macroscopic properties as well as the classical periodic medium solution, are considered in the optimization process. These models differ only in the kinematical constraints (thermal constraints in the heat conducting case) imposed on the RVE. The examples show that, in general, the obtained optimum micro-structure topology depends on the particular model adopted.
Fil: De Souza Neto, Eduardo Alberto. Swansea University; Reino Unido
Fil: Amstutz, Samuel. No especifíca;
Fil: Giusti, Sebastian Miguel. Laboratório Nacional de Computação Científica; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Novotny, Antonio André. Laboratório Nacional de Computação Científica; Brasil
Materia
OTIMIZATION OF MICRO-STRUCTURES
SYNTHESIS OF MICRO-STRUCTURES
MULTI-SCALE MODELLING
TOPOLOGICAL DERIVATIVE
SENSITIVITY ANALYSIS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/131392

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spelling Topological derivative-based optimization of micro-structures considering different multi-scale modelsDe Souza Neto, Eduardo AlbertoAmstutz, SamuelGiusti, Sebastian MiguelNovotny, Antonio AndréOTIMIZATION OF MICRO-STRUCTURESSYNTHESIS OF MICRO-STRUCTURESMULTI-SCALE MODELLINGTOPOLOGICAL DERIVATIVESENSITIVITY ANALYSIShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1https://purl.org/becyt/ford/2.5https://purl.org/becyt/ford/2https://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2A recently proposed algorithm for micro-structural optimization, based on the concept of topological derivative and a level-set domain representation, is applied to the synthesis of elastic and heat conducting bi-material micro-structures. The macroscopic properties are estimated by means of a family of multi-scale constitutive theories where the macroscopic strain and stress tensors (temperature gradient and heat flux vector in the heat conducting case) are defined as volume averages of their microscopic counterparts over a Representative Volume Element (RVE). Several finite element-based examples of micro-structural optimization are presented. Three multi-scale models, providing an upper and a lower bound for the macroscopic properties as well as the classical periodic medium solution, are considered in the optimization process. These models differ only in the kinematical constraints (thermal constraints in the heat conducting case) imposed on the RVE. The examples show that, in general, the obtained optimum micro-structure topology depends on the particular model adopted.Fil: De Souza Neto, Eduardo Alberto. Swansea University; Reino UnidoFil: Amstutz, Samuel. No especifíca;Fil: Giusti, Sebastian Miguel. Laboratório Nacional de Computação Científica; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaFil: Novotny, Antonio André. Laboratório Nacional de Computação Científica; BrasilTech Science Press2010info: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/11336/131392De Souza Neto, Eduardo Alberto; Amstutz, Samuel; Giusti, Sebastian Miguel; Novotny, Antonio André; Topological derivative-based optimization of micro-structures considering different multi-scale models; Tech Science Press; Cmes-computer Modeling In Engineering & Sciences; 62; 1; 2010; 23-561526-14921526-1506CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3970/cmes.2010.062.023info:eu-repo/semantics/altIdentifier/url/https://www.techscience.com/CMES/v62n1/25531info:eu-repo/semantics/altIdentifier/url/https://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000500834info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:41:21Zoai:ri.conicet.gov.ar:11336/131392instacron: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 10:41:21.284CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Topological derivative-based optimization of micro-structures considering different multi-scale models
title Topological derivative-based optimization of micro-structures considering different multi-scale models
spellingShingle Topological derivative-based optimization of micro-structures considering different multi-scale models
De Souza Neto, Eduardo Alberto
OTIMIZATION OF MICRO-STRUCTURES
SYNTHESIS OF MICRO-STRUCTURES
MULTI-SCALE MODELLING
TOPOLOGICAL DERIVATIVE
SENSITIVITY ANALYSIS
title_short Topological derivative-based optimization of micro-structures considering different multi-scale models
title_full Topological derivative-based optimization of micro-structures considering different multi-scale models
title_fullStr Topological derivative-based optimization of micro-structures considering different multi-scale models
title_full_unstemmed Topological derivative-based optimization of micro-structures considering different multi-scale models
title_sort Topological derivative-based optimization of micro-structures considering different multi-scale models
dc.creator.none.fl_str_mv De Souza Neto, Eduardo Alberto
Amstutz, Samuel
Giusti, Sebastian Miguel
Novotny, Antonio André
author De Souza Neto, Eduardo Alberto
author_facet De Souza Neto, Eduardo Alberto
Amstutz, Samuel
Giusti, Sebastian Miguel
Novotny, Antonio André
author_role author
author2 Amstutz, Samuel
Giusti, Sebastian Miguel
Novotny, Antonio André
author2_role author
author
author
dc.subject.none.fl_str_mv OTIMIZATION OF MICRO-STRUCTURES
SYNTHESIS OF MICRO-STRUCTURES
MULTI-SCALE MODELLING
TOPOLOGICAL DERIVATIVE
SENSITIVITY ANALYSIS
topic OTIMIZATION OF MICRO-STRUCTURES
SYNTHESIS OF MICRO-STRUCTURES
MULTI-SCALE MODELLING
TOPOLOGICAL DERIVATIVE
SENSITIVITY ANALYSIS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/2.5
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 A recently proposed algorithm for micro-structural optimization, based on the concept of topological derivative and a level-set domain representation, is applied to the synthesis of elastic and heat conducting bi-material micro-structures. The macroscopic properties are estimated by means of a family of multi-scale constitutive theories where the macroscopic strain and stress tensors (temperature gradient and heat flux vector in the heat conducting case) are defined as volume averages of their microscopic counterparts over a Representative Volume Element (RVE). Several finite element-based examples of micro-structural optimization are presented. Three multi-scale models, providing an upper and a lower bound for the macroscopic properties as well as the classical periodic medium solution, are considered in the optimization process. These models differ only in the kinematical constraints (thermal constraints in the heat conducting case) imposed on the RVE. The examples show that, in general, the obtained optimum micro-structure topology depends on the particular model adopted.
Fil: De Souza Neto, Eduardo Alberto. Swansea University; Reino Unido
Fil: Amstutz, Samuel. No especifíca;
Fil: Giusti, Sebastian Miguel. Laboratório Nacional de Computação Científica; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Novotny, Antonio André. Laboratório Nacional de Computação Científica; Brasil
description A recently proposed algorithm for micro-structural optimization, based on the concept of topological derivative and a level-set domain representation, is applied to the synthesis of elastic and heat conducting bi-material micro-structures. The macroscopic properties are estimated by means of a family of multi-scale constitutive theories where the macroscopic strain and stress tensors (temperature gradient and heat flux vector in the heat conducting case) are defined as volume averages of their microscopic counterparts over a Representative Volume Element (RVE). Several finite element-based examples of micro-structural optimization are presented. Three multi-scale models, providing an upper and a lower bound for the macroscopic properties as well as the classical periodic medium solution, are considered in the optimization process. These models differ only in the kinematical constraints (thermal constraints in the heat conducting case) imposed on the RVE. The examples show that, in general, the obtained optimum micro-structure topology depends on the particular model adopted.
publishDate 2010
dc.date.none.fl_str_mv 2010
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/11336/131392
De Souza Neto, Eduardo Alberto; Amstutz, Samuel; Giusti, Sebastian Miguel; Novotny, Antonio André; Topological derivative-based optimization of micro-structures considering different multi-scale models; Tech Science Press; Cmes-computer Modeling In Engineering & Sciences; 62; 1; 2010; 23-56
1526-1492
1526-1506
CONICET Digital
CONICET
url http://hdl.handle.net/11336/131392
identifier_str_mv De Souza Neto, Eduardo Alberto; Amstutz, Samuel; Giusti, Sebastian Miguel; Novotny, Antonio André; Topological derivative-based optimization of micro-structures considering different multi-scale models; Tech Science Press; Cmes-computer Modeling In Engineering & Sciences; 62; 1; 2010; 23-56
1526-1492
1526-1506
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3970/cmes.2010.062.023
info:eu-repo/semantics/altIdentifier/url/https://www.techscience.com/CMES/v62n1/25531
info:eu-repo/semantics/altIdentifier/url/https://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000500834
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Tech Science Press
publisher.none.fl_str_mv Tech Science Press
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
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