Fundamentals on the Topological Derivative concept and its classical applications

Autores
Soares de Carvalho, Fernando; Mota Anflor, Carla Tatiana; Bretanha Jorge, Ariosto; Cisilino, Adrian Pablo; José Marczak, Rogério
Año de publicación
2022
Idioma
inglés
Tipo de recurso
parte de libro
Estado
versión publicada
Descripción
The concept of the topological derivative has been derived for several engineering problems during the last years. In this chapter, the fundamentals and the resulting closed formulae of topological derivative for some of the most classical problems are addressed. A brief review of the mathematical statements used in the topological derivative concept is given. The programming strategies regarding implementing the main routine for the topology optimization are pointed out. Some numerical examples concerning classical applications are introduced to demonstrate the application of the topological derivative concept for topology problems.
Fil: Soares de Carvalho, Fernando. Universidade Federal Do Tocantins (ufdt);
Fil: Mota Anflor, Carla Tatiana. Universidade do Brasília; Brasil
Fil: Bretanha Jorge, Ariosto. Universidade do Brasília; Brasil
Fil: Cisilino, Adrian Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones en Ciencia y Tecnología de Materiales. Universidad Nacional de Mar del Plata. Facultad de Ingeniería. Instituto de Investigaciones en Ciencia y Tecnología de Materiales; Argentina
Fil: José Marczak, Rogério. Universidade Federal do Rio Grande do Sul; Brasil
Materia
INVERSE PROBLEMS
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:11336/241114
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Fundamentals on the Topological Derivative concept and its classical applicationsSoares de Carvalho, FernandoMota Anflor, Carla TatianaBretanha Jorge, AriostoCisilino, Adrian PabloJosé Marczak, RogérioINVERSE PROBLEMSTOPOLOGICAL DERIVATIVEhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2The concept of the topological derivative has been derived for several engineering problems during the last years. In this chapter, the fundamentals and the resulting closed formulae of topological derivative for some of the most classical problems are addressed. A brief review of the mathematical statements used in the topological derivative concept is given. The programming strategies regarding implementing the main routine for the topology optimization are pointed out. Some numerical examples concerning classical applications are introduced to demonstrate the application of the topological derivative concept for topology problems.Fil: Soares de Carvalho, Fernando. Universidade Federal Do Tocantins (ufdt);Fil: Mota Anflor, Carla Tatiana. Universidade do Brasília; BrasilFil: Bretanha Jorge, Ariosto. Universidade do Brasília; BrasilFil: Cisilino, Adrian Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones en Ciencia y Tecnología de Materiales. Universidad Nacional de Mar del Plata. Facultad de Ingeniería. Instituto de Investigaciones en Ciencia y Tecnología de Materiales; ArgentinaFil: José Marczak, Rogério. Universidade Federal do Rio Grande do Sul; BrasilUniversidade do BrasíliaBretanha Jorge, AriostoMota Anflor, CarlaGomes, Guilherme F.da Silva Carneiro, Sergio Henrique2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookParthttp://purl.org/coar/resource_type/c_3248info:ar-repo/semantics/parteDeLibroapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/241114Soares de Carvalho, Fernando; Mota Anflor, Carla Tatiana; Bretanha Jorge, Ariosto; Cisilino, Adrian Pablo; José Marczak, Rogério; Fundamentals on the Topological Derivative concept and its classical applications; Universidade do Brasília; 1; 2022; 269-300978-65-86503-71-5CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://livros.unb.br/index.php/portal/catalog/book/196info:eu-repo/semantics/altIdentifier/doi/10.4322/978-65-86503-71-5.c07info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:03:00Zoai:ri.conicet.gov.ar:11336/241114instacron: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:34982025-10-22 12:03:00.567CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Fundamentals on the Topological Derivative concept and its classical applications
title Fundamentals on the Topological Derivative concept and its classical applications
spellingShingle Fundamentals on the Topological Derivative concept and its classical applications
Soares de Carvalho, Fernando
INVERSE PROBLEMS
TOPOLOGICAL DERIVATIVE
title_short Fundamentals on the Topological Derivative concept and its classical applications
title_full Fundamentals on the Topological Derivative concept and its classical applications
title_fullStr Fundamentals on the Topological Derivative concept and its classical applications
title_full_unstemmed Fundamentals on the Topological Derivative concept and its classical applications
title_sort Fundamentals on the Topological Derivative concept and its classical applications
dc.creator.none.fl_str_mv Soares de Carvalho, Fernando
Mota Anflor, Carla Tatiana
Bretanha Jorge, Ariosto
Cisilino, Adrian Pablo
José Marczak, Rogério
author Soares de Carvalho, Fernando
author_facet Soares de Carvalho, Fernando
Mota Anflor, Carla Tatiana
Bretanha Jorge, Ariosto
Cisilino, Adrian Pablo
José Marczak, Rogério
author_role author
author2 Mota Anflor, Carla Tatiana
Bretanha Jorge, Ariosto
Cisilino, Adrian Pablo
José Marczak, Rogério
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Bretanha Jorge, Ariosto
Mota Anflor, Carla
Gomes, Guilherme F.
da Silva Carneiro, Sergio Henrique
dc.subject.none.fl_str_mv INVERSE PROBLEMS
TOPOLOGICAL DERIVATIVE
topic INVERSE PROBLEMS
TOPOLOGICAL DERIVATIVE
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The concept of the topological derivative has been derived for several engineering problems during the last years. In this chapter, the fundamentals and the resulting closed formulae of topological derivative for some of the most classical problems are addressed. A brief review of the mathematical statements used in the topological derivative concept is given. The programming strategies regarding implementing the main routine for the topology optimization are pointed out. Some numerical examples concerning classical applications are introduced to demonstrate the application of the topological derivative concept for topology problems.
Fil: Soares de Carvalho, Fernando. Universidade Federal Do Tocantins (ufdt);
Fil: Mota Anflor, Carla Tatiana. Universidade do Brasília; Brasil
Fil: Bretanha Jorge, Ariosto. Universidade do Brasília; Brasil
Fil: Cisilino, Adrian Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones en Ciencia y Tecnología de Materiales. Universidad Nacional de Mar del Plata. Facultad de Ingeniería. Instituto de Investigaciones en Ciencia y Tecnología de Materiales; Argentina
Fil: José Marczak, Rogério. Universidade Federal do Rio Grande do Sul; Brasil
description The concept of the topological derivative has been derived for several engineering problems during the last years. In this chapter, the fundamentals and the resulting closed formulae of topological derivative for some of the most classical problems are addressed. A brief review of the mathematical statements used in the topological derivative concept is given. The programming strategies regarding implementing the main routine for the topology optimization are pointed out. Some numerical examples concerning classical applications are introduced to demonstrate the application of the topological derivative concept for topology problems.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/bookPart
http://purl.org/coar/resource_type/c_3248
info:ar-repo/semantics/parteDeLibro
status_str publishedVersion
format bookPart
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/241114
Soares de Carvalho, Fernando; Mota Anflor, Carla Tatiana; Bretanha Jorge, Ariosto; Cisilino, Adrian Pablo; José Marczak, Rogério; Fundamentals on the Topological Derivative concept and its classical applications; Universidade do Brasília; 1; 2022; 269-300
978-65-86503-71-5
CONICET Digital
CONICET
url http://hdl.handle.net/11336/241114
identifier_str_mv Soares de Carvalho, Fernando; Mota Anflor, Carla Tatiana; Bretanha Jorge, Ariosto; Cisilino, Adrian Pablo; José Marczak, Rogério; Fundamentals on the Topological Derivative concept and its classical applications; Universidade do Brasília; 1; 2022; 269-300
978-65-86503-71-5
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://livros.unb.br/index.php/portal/catalog/book/196
info:eu-repo/semantics/altIdentifier/doi/10.4322/978-65-86503-71-5.c07
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
dc.publisher.none.fl_str_mv Universidade do Brasília
publisher.none.fl_str_mv Universidade do Brasília
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_ 1846782369640480768
score 12.928904

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