Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes

Detalhes bibliográficos
Autor(a) principal: Antunes, Pedro R. S.
Data de Publicação: 2017
Outros Autores: Barbarosie, Cristian, Toader, Anca-Maria
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/7075
Resumo: We consider the numerical solution of an inverse problem of finding the shape and location of holes in an elastic body. The problem is solved by minimizing a functional depending on the eigenvalues and traces of corresponding eigenmodes. We use the adjoint method to calculate the shape derivative of this functional. The optimization is performed by BFGS, using a genetic algorithm as a preprocessor and the Method of Fundamental Solutions as a solver for the direct problem. We address several numerical simulations that illustrate the good performance of the method.
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spelling Detection of holes in an elastic body based on eigenvalues and traces of eigenmodesInverse problemShape optimizationEigenvalue problemLinear elasticityAdjoint methodMethod of fundamental solutionsWe consider the numerical solution of an inverse problem of finding the shape and location of holes in an elastic body. The problem is solved by minimizing a functional depending on the eigenvalues and traces of corresponding eigenmodes. We use the adjoint method to calculate the shape derivative of this functional. The optimization is performed by BFGS, using a genetic algorithm as a preprocessor and the Method of Fundamental Solutions as a solver for the direct problem. We address several numerical simulations that illustrate the good performance of the method.Repositório AbertoAntunes, Pedro R. S.Barbarosie, CristianToader, Anca-Maria2018-02-07T15:51:19Z20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/7075enginfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:25:57Zoai:repositorioaberto.uab.pt:10400.2/7075Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:47:26.050862Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes
title Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes
spellingShingle Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes
Antunes, Pedro R. S.
Inverse problem
Shape optimization
Eigenvalue problem
Linear elasticity
Adjoint method
Method of fundamental solutions
title_short Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes
title_full Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes
title_fullStr Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes
title_full_unstemmed Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes
title_sort Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes
author Antunes, Pedro R. S.
author_facet Antunes, Pedro R. S.
Barbarosie, Cristian
Toader, Anca-Maria
author_role author
author2 Barbarosie, Cristian
Toader, Anca-Maria
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Antunes, Pedro R. S.
Barbarosie, Cristian
Toader, Anca-Maria
dc.subject.por.fl_str_mv Inverse problem
Shape optimization
Eigenvalue problem
Linear elasticity
Adjoint method
Method of fundamental solutions
topic Inverse problem
Shape optimization
Eigenvalue problem
Linear elasticity
Adjoint method
Method of fundamental solutions
description We consider the numerical solution of an inverse problem of finding the shape and location of holes in an elastic body. The problem is solved by minimizing a functional depending on the eigenvalues and traces of corresponding eigenmodes. We use the adjoint method to calculate the shape derivative of this functional. The optimization is performed by BFGS, using a genetic algorithm as a preprocessor and the Method of Fundamental Solutions as a solver for the direct problem. We address several numerical simulations that illustrate the good performance of the method.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
2018-02-07T15:51:19Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.2/7075
url http://hdl.handle.net/10400.2/7075
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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