Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact

Autores
Cao Rial, M. T.; Castiñeira, G.; Rodríguez Arós, Á.; Roscani, Sabrina Dina
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The purpose of this paper is twofold. We first provide the mathematical analysis of a dynamic contact problem in thermoelasticity, when the contact is governed by a normal damped response function and the constitutive thermoelastic law is given by the DuhamelNeumann relation. Under suitable hypotheses on data and using a Faedo-Galerkin strategy, we show the existence and uniqueness of solution for this problem. Then, we study the particular case when the deformable body is, in fact, a shell and use asymptotic analysis to study the convergence to a 2D limit problem when the thickness tends to zero.
Fil: Cao Rial, M. T.. Universidad da Coruña; España
Fil: Castiñeira, G.. Universidad de Vigo; España
Fil: Rodríguez Arós, Á.. Universidad da Coruña; España
Fil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Materia
ASYMPTOTIC ANALYSIS
CONTACT
MEMBRANE
SHELLS
THERMOELASTODYNAMICS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/164002
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/164002
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contactCao Rial, M. T.Castiñeira, G.Rodríguez Arós, Á.Roscani, Sabrina DinaASYMPTOTIC ANALYSISCONTACTMEMBRANESHELLSTHERMOELASTODYNAMICShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The purpose of this paper is twofold. We first provide the mathematical analysis of a dynamic contact problem in thermoelasticity, when the contact is governed by a normal damped response function and the constitutive thermoelastic law is given by the DuhamelNeumann relation. Under suitable hypotheses on data and using a Faedo-Galerkin strategy, we show the existence and uniqueness of solution for this problem. Then, we study the particular case when the deformable body is, in fact, a shell and use asymptotic analysis to study the convergence to a 2D limit problem when the thickness tends to zero.Fil: Cao Rial, M. T.. Universidad da Coruña; EspañaFil: Castiñeira, G.. Universidad de Vigo; EspañaFil: Rodríguez Arós, Á.. Universidad da Coruña; EspañaFil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; ArgentinaElsevier Science2021-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/164002Cao Rial, M. T.; Castiñeira, G.; Rodríguez Arós, Á.; Roscani, Sabrina Dina; Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 103; 12-2021; 1-221007-5704CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1007570421003075info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2021.105995info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:30:02Zoai:ri.conicet.gov.ar:11336/164002instacron: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:34982025-10-15 14:30:03.244CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact
title Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact
spellingShingle Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact
Cao Rial, M. T.
ASYMPTOTIC ANALYSIS
CONTACT
MEMBRANE
SHELLS
THERMOELASTODYNAMICS
title_short Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact
title_full Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact
title_fullStr Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact
title_full_unstemmed Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact
title_sort Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact
dc.creator.none.fl_str_mv Cao Rial, M. T.
Castiñeira, G.
Rodríguez Arós, Á.
Roscani, Sabrina Dina
author Cao Rial, M. T.
author_facet Cao Rial, M. T.
Castiñeira, G.
Rodríguez Arós, Á.
Roscani, Sabrina Dina
author_role author
author2 Castiñeira, G.
Rodríguez Arós, Á.
Roscani, Sabrina Dina
author2_role author
author
author
dc.subject.none.fl_str_mv ASYMPTOTIC ANALYSIS
CONTACT
MEMBRANE
SHELLS
THERMOELASTODYNAMICS
topic ASYMPTOTIC ANALYSIS
CONTACT
MEMBRANE
SHELLS
THERMOELASTODYNAMICS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The purpose of this paper is twofold. We first provide the mathematical analysis of a dynamic contact problem in thermoelasticity, when the contact is governed by a normal damped response function and the constitutive thermoelastic law is given by the DuhamelNeumann relation. Under suitable hypotheses on data and using a Faedo-Galerkin strategy, we show the existence and uniqueness of solution for this problem. Then, we study the particular case when the deformable body is, in fact, a shell and use asymptotic analysis to study the convergence to a 2D limit problem when the thickness tends to zero.
Fil: Cao Rial, M. T.. Universidad da Coruña; España
Fil: Castiñeira, G.. Universidad de Vigo; España
Fil: Rodríguez Arós, Á.. Universidad da Coruña; España
Fil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
description The purpose of this paper is twofold. We first provide the mathematical analysis of a dynamic contact problem in thermoelasticity, when the contact is governed by a normal damped response function and the constitutive thermoelastic law is given by the DuhamelNeumann relation. Under suitable hypotheses on data and using a Faedo-Galerkin strategy, we show the existence and uniqueness of solution for this problem. Then, we study the particular case when the deformable body is, in fact, a shell and use asymptotic analysis to study the convergence to a 2D limit problem when the thickness tends to zero.
publishDate 2021
dc.date.none.fl_str_mv 2021-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/164002
Cao Rial, M. T.; Castiñeira, G.; Rodríguez Arós, Á.; Roscani, Sabrina Dina; Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 103; 12-2021; 1-22
1007-5704
CONICET Digital
CONICET
url http://hdl.handle.net/11336/164002
identifier_str_mv Cao Rial, M. T.; Castiñeira, G.; Rodríguez Arós, Á.; Roscani, Sabrina Dina; Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 103; 12-2021; 1-22
1007-5704
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://www.sciencedirect.com/science/article/pii/S1007570421003075
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2021.105995
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 Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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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score 13.22299

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