Conical differentiability for bone remodeling contact rod models

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/10400.19/2600
Resumo: We prove the conical differentiability of the solution to a bone remodeling contact rod model, for given data (applied loads and rigid obstacle), with respect to small perturbations of the cross section of the rod. The proof is based on the special structure of the model, composed of a variational inequality coupled with an ordinary differential equation with respect to time. This structure enables the verification of the two following fundamental results: the polyhedricity of a modified displacement constraint set defined by the obstacle and the differentiability of the two forms associated to the variational inequality.
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spelling Conical differentiability for bone remodeling contact rod modelsAdaptive elasticityfunctional spacespolyhedric setrodWe prove the conical differentiability of the solution to a bone remodeling contact rod model, for given data (applied loads and rigid obstacle), with respect to small perturbations of the cross section of the rod. The proof is based on the special structure of the model, composed of a variational inequality coupled with an ordinary differential equation with respect to time. This structure enables the verification of the two following fundamental results: the polyhedricity of a modified displacement constraint set defined by the obstacle and the differentiability of the two forms associated to the variational inequality.ESAIM: Control, Optimisation and Calculus of VariationsRepositório Científico do Instituto Politécnico de ViseuFigueiredo, IsabelLeal, CarlosPinto, Cecília2015-02-09T15:16:14Z2005-072005-07-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.19/2600eng10.1051/cocv:2005011info: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:10400.19/2600Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:41:44.911600Repositório 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 Conical differentiability for bone remodeling contact rod models
title Conical differentiability for bone remodeling contact rod models
spellingShingle Conical differentiability for bone remodeling contact rod models
Figueiredo, Isabel
Adaptive elasticity
functional spaces
polyhedric set
rod
title_short Conical differentiability for bone remodeling contact rod models
title_full Conical differentiability for bone remodeling contact rod models
title_fullStr Conical differentiability for bone remodeling contact rod models
title_full_unstemmed Conical differentiability for bone remodeling contact rod models
title_sort Conical differentiability for bone remodeling contact rod models
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
functional spaces
polyhedric set
rod
topic Adaptive elasticity
functional spaces
polyhedric set
rod
description We prove the conical differentiability of the solution to a bone remodeling contact rod model, for given data (applied loads and rigid obstacle), with respect to small perturbations of the cross section of the rod. The proof is based on the special structure of the model, composed of a variational inequality coupled with an ordinary differential equation with respect to time. This structure enables the verification of the two following fundamental results: the polyhedricity of a modified displacement constraint set defined by the obstacle and the differentiability of the two forms associated to the variational inequality.
publishDate 2005
dc.date.none.fl_str_mv 2005-07
2005-07-01T00:00:00Z
2015-02-09T15:16:14Z
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/10400.19/2600
url http://hdl.handle.net/10400.19/2600
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1051/cocv:2005011
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 ESAIM: Control, Optimisation and Calculus of Variations
publisher.none.fl_str_mv ESAIM: Control, Optimisation and Calculus of Variations
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
repository.mail.fl_str_mv
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