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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/241114
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:30:32Zoai: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:34982025-09-29 10:30:32.541CONICET 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 |
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1844614313893953536 |
score |
13.070432 |