Shape analysis of an adaptive elastic rod model

Detalhes bibliográficos
Autor(a) principal: Figueiredo, Isabel
Data de Publicação: 2005
Outros Autores: Leal, Carlos, Pinto, Cecília
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.19/2601
Resumo: We analyze the shape semiderivative of the solution to an asymptotic nonlinear adaptive elastic rod model, derived in Figueiredo and Trabucho [Math. Mech. Solids, 9 (2004), pp. 331–354], with respect to small perturbations of the cross section. The rod model is defined by generalized Bernoulli–Navier elastic equilibrium equations and an ordinary differential equation with respect to time. Taking advantage of the model’s special structure and the regularity of its solution, we compute and completely identify, in an appropriate functional space involving time, the weak shape semiderivative
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spelling Shape analysis of an adaptive elastic rod modeladaptive elasticityrodshape derivativeWe analyze the shape semiderivative of the solution to an asymptotic nonlinear adaptive elastic rod model, derived in Figueiredo and Trabucho [Math. Mech. Solids, 9 (2004), pp. 331–354], with respect to small perturbations of the cross section. The rod model is defined by generalized Bernoulli–Navier elastic equilibrium equations and an ordinary differential equation with respect to time. Taking advantage of the model’s special structure and the regularity of its solution, we compute and completely identify, in an appropriate functional space involving time, the weak shape semiderivativeFCT–POCTI/MAT/59502/2004 of PortugalSIAM J. APPL. MATH.Repositório Científico do Instituto Politécnico de ViseuFigueiredo, IsabelLeal, CarlosPinto, Cecília2015-02-09T15:19:06Z2005-10-172005-10-17T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.19/2601eng10.1137/040604443info: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:RCAAP2023-01-16T15:25:57Zoai:repositorio.ipv.pt:10400.19/2601Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:41:44.959003Repositório 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 Shape analysis of an adaptive elastic rod model
title Shape analysis of an adaptive elastic rod model
spellingShingle Shape analysis of an adaptive elastic rod model
Figueiredo, Isabel
adaptive elasticity
rod
shape derivative
title_short Shape analysis of an adaptive elastic rod model
title_full Shape analysis of an adaptive elastic rod model
title_fullStr Shape analysis of an adaptive elastic rod model
title_full_unstemmed Shape analysis of an adaptive elastic rod model
title_sort Shape analysis of an adaptive elastic rod model
author Figueiredo, Isabel
author_facet Figueiredo, Isabel
Leal, Carlos
Pinto, Cecília
author_role author
author2 Leal, Carlos
Pinto, Cecília
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico de Viseu
dc.contributor.author.fl_str_mv Figueiredo, Isabel
Leal, Carlos
Pinto, Cecília
dc.subject.por.fl_str_mv adaptive elasticity
rod
shape derivative
topic adaptive elasticity
rod
shape derivative
description We analyze the shape semiderivative of the solution to an asymptotic nonlinear adaptive elastic rod model, derived in Figueiredo and Trabucho [Math. Mech. Solids, 9 (2004), pp. 331–354], with respect to small perturbations of the cross section. The rod model is defined by generalized Bernoulli–Navier elastic equilibrium equations and an ordinary differential equation with respect to time. Taking advantage of the model’s special structure and the regularity of its solution, we compute and completely identify, in an appropriate functional space involving time, the weak shape semiderivative
publishDate 2005
dc.date.none.fl_str_mv 2005-10-17
2005-10-17T00:00:00Z
2015-02-09T15:19:06Z
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/10400.19/2601
url http://hdl.handle.net/10400.19/2601
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1137/040604443
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.publisher.none.fl_str_mv SIAM J. APPL. MATH.
publisher.none.fl_str_mv SIAM J. APPL. MATH.
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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