On the MGT-micropolar viscoelasticity

In this short paper we analyze, from both analytical and numerical points of view, a dynamic problem arising in micropolar viscoelasticity. An existence and uniqueness result is proved by using the theory of linear semigroups. The exponential decay of the solution is also shown. Then, by using the f...

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Detalles Bibliográficos
Autores: Bazarra, Noelia, Fernández, Jose R., Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/380765
Acceso en línea:https://hdl.handle.net/2117/380765
https://dx.doi.org/10.1016/j.mechrescom.2022.103948
Access Level:acceso abierto
Palabra clave:Thermoelasticity
Micropolar
Moore–Gibson–Thompson material
Existence and uniqueness
Finite elements
Error estimates
Numerical simulations
Termoelasticitat
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
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spelling On the MGT-micropolar viscoelasticityBazarra, NoeliaFernández, Jose R.Quintanilla de Latorre, Ramón|||0000-0001-7059-7058ThermoelasticityMicropolarMoore–Gibson–Thompson materialExistence and uniquenessFinite elementsError estimatesNumerical simulationsTermoelasticitatClassificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effectsÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciènciesIn this short paper we analyze, from both analytical and numerical points of view, a dynamic problem arising in micropolar viscoelasticity. An existence and uniqueness result is proved by using the theory of linear semigroups. The exponential decay of the solution is also shown. Then, by using the finite element method and the implicit Euler scheme, a fully discrete approximation is introduced. A priori error estimates are proved, from which the linear convergence is derived under adequate additional regularity conditions. Finally, a one-dimensional numerical example is presented to show the accuracy of the approximation.Peer ReviewedElsevier20222022-09-0120232023-01-19journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/380765https://dx.doi.org/10.1016/j.mechrescom.2022.103948reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105118GB-I00 ANALISIS MATEMATICO APLICADO A LA TERMOMECANICAopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3807652026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the MGT-micropolar viscoelasticity
title On the MGT-micropolar viscoelasticity
spellingShingle On the MGT-micropolar viscoelasticity
Bazarra, Noelia
Thermoelasticity
Micropolar
Moore–Gibson–Thompson material
Existence and uniqueness
Finite elements
Error estimates
Numerical simulations
Termoelasticitat
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
title_short On the MGT-micropolar viscoelasticity
title_full On the MGT-micropolar viscoelasticity
title_fullStr On the MGT-micropolar viscoelasticity
title_full_unstemmed On the MGT-micropolar viscoelasticity
title_sort On the MGT-micropolar viscoelasticity
dc.creator.none.fl_str_mv Bazarra, Noelia
Fernández, Jose R.
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author Bazarra, Noelia
author_facet Bazarra, Noelia
Fernández, Jose R.
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author_role author
author2 Fernández, Jose R.
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author2_role author
author
dc.subject.none.fl_str_mv Thermoelasticity
Micropolar
Moore–Gibson–Thompson material
Existence and uniqueness
Finite elements
Error estimates
Numerical simulations
Termoelasticitat
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
topic Thermoelasticity
Micropolar
Moore–Gibson–Thompson material
Existence and uniqueness
Finite elements
Error estimates
Numerical simulations
Termoelasticitat
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
description In this short paper we analyze, from both analytical and numerical points of view, a dynamic problem arising in micropolar viscoelasticity. An existence and uniqueness result is proved by using the theory of linear semigroups. The exponential decay of the solution is also shown. Then, by using the finite element method and the implicit Euler scheme, a fully discrete approximation is introduced. A priori error estimates are proved, from which the linear convergence is derived under adequate additional regularity conditions. Finally, a one-dimensional numerical example is presented to show the accuracy of the approximation.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-09-01
2023
2023-01-19
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/380765
https://dx.doi.org/10.1016/j.mechrescom.2022.103948
url https://hdl.handle.net/2117/380765
https://dx.doi.org/10.1016/j.mechrescom.2022.103948
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105118GB-I00 ANALISIS MATEMATICO APLICADO A LA TERMOMECANICA
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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