A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model

Detalhes bibliográficos
Autor(a) principal: Figueiredo, Isabel Narra
Data de Publicação: 2006
Outros Autores: Leal, Carlos Franco
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/7734
https://doi.org/10.1007/s10659-006-9072-2
Resumo: Abstract We apply the asymptotic analysis procedure to the three-dimensional static equations of piezoelectricity, for a linear nonhomogeneous anisotropic thin rod. We prove the weak convergence of the rod mechanical displacement vectors and the rod electric potentials, when the diameter of the rod cross-section tends to zero. This weak limit is the solution of a new piezoelectric anisotropic nonhomogeneous rod model, which is a system of coupled equations, with generalized Bernoulli–Navier equilibrium equations and reduced Maxwell–Gauss equations.
id RCAP_80fafb4071df8a84cf1626d1ef0dd6e1
oai_identifier_str oai:estudogeral.uc.pt:10316/7734
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod ModelAbstract We apply the asymptotic analysis procedure to the three-dimensional static equations of piezoelectricity, for a linear nonhomogeneous anisotropic thin rod. We prove the weak convergence of the rod mechanical displacement vectors and the rod electric potentials, when the diameter of the rod cross-section tends to zero. This weak limit is the solution of a new piezoelectric anisotropic nonhomogeneous rod model, which is a system of coupled equations, with generalized Bernoulli–Navier equilibrium equations and reduced Maxwell–Gauss equations.2006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/7734http://hdl.handle.net/10316/7734https://doi.org/10.1007/s10659-006-9072-2engJournal of Elasticity. 85:2 (2006) 85-106Figueiredo, Isabel NarraLeal, Carlos Francoinfo: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:RCAAP2021-09-16T10:10:31Zoai:estudogeral.uc.pt:10316/7734Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:44.343254Repositório 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 A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model
title A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model
spellingShingle A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model
Figueiredo, Isabel Narra
title_short A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model
title_full A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model
title_fullStr A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model
title_full_unstemmed A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model
title_sort A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model
author Figueiredo, Isabel Narra
author_facet Figueiredo, Isabel Narra
Leal, Carlos Franco
author_role author
author2 Leal, Carlos Franco
author2_role author
dc.contributor.author.fl_str_mv Figueiredo, Isabel Narra
Leal, Carlos Franco
description Abstract We apply the asymptotic analysis procedure to the three-dimensional static equations of piezoelectricity, for a linear nonhomogeneous anisotropic thin rod. We prove the weak convergence of the rod mechanical displacement vectors and the rod electric potentials, when the diameter of the rod cross-section tends to zero. This weak limit is the solution of a new piezoelectric anisotropic nonhomogeneous rod model, which is a system of coupled equations, with generalized Bernoulli–Navier equilibrium equations and reduced Maxwell–Gauss equations.
publishDate 2006
dc.date.none.fl_str_mv 2006
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/10316/7734
http://hdl.handle.net/10316/7734
https://doi.org/10.1007/s10659-006-9072-2
url http://hdl.handle.net/10316/7734
https://doi.org/10.1007/s10659-006-9072-2
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Elasticity. 85:2 (2006) 85-106
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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
_version_ 1799133897613639680

Registros relacionados