A type III porous-thermo-elastic problem with quasi-static microvoids

In this work we study, from the numerical point of view, a one-dimensional thermoelastic problem where the thermal law is of type III. Quasi-static microvoids are also assumed within the model. The variational formulation leads to a coupled linear system made of variational equations and it is writt...

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Detalles Bibliográficos
Autores: Bazarra, Noelia, Castejon, Alberto, Fernández, Jose R., Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
Tipo de recurso: artículo
Fecha de publicación:2021
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:2117/349448
Acceso en línea:https://hdl.handle.net/2117/349448
https://dx.doi.org/10.1007/s11012-021-01398-0
Access Level:acceso abierto
Palabra clave:Thermoelasticity
Type III thermoelasticity
Quasi-static microvoids
Finite elements
A priori error analysis
Numerical simulations.
Termoelasticitat
Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74K Thin bodies, structures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
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oai_identifier_str oai:upcommons.upc.edu:2117/349448
network_acronym_str ES
network_name_str España
repository_id_str
spelling A type III porous-thermo-elastic problem with quasi-static microvoidsBazarra, NoeliaCastejon, AlbertoFernández, Jose R.Quintanilla de Latorre, Ramón|||0000-0001-7059-7058ThermoelasticityType III thermoelasticityQuasi-static microvoidsFinite elementsA priori error analysisNumerical simulations.TermoelasticitatClassificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problemsClassificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effectsClassificació AMS::74 Mechanics of deformable solids::74K Thin bodies, structuresÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciènciesIn this work we study, from the numerical point of view, a one-dimensional thermoelastic problem where the thermal law is of type III. Quasi-static microvoids are also assumed within the model. The variational formulation leads to a coupled linear system made of variational equations and it is written in terms of the velocity, the volume fraction and the temperature. Fully discrete approximations are introduced by using the finite element method and the backward Euler method. A discrete stability property and a priori error estimates are proved, deriving the linear convergence under adequate additional regularity. Finally, some numerical simulations are presented to demonstrate the accuracy of the approximation and the behavior of the solutionPeer Reviewed20212021-12-0120212021-07-15journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/349448https://dx.doi.org/10.1007/s11012-021-01398-0reponame: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 4.0 Internationalhttps://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3494482026-05-27T15:37:01Z
dc.title.none.fl_str_mv A type III porous-thermo-elastic problem with quasi-static microvoids
title A type III porous-thermo-elastic problem with quasi-static microvoids
spellingShingle A type III porous-thermo-elastic problem with quasi-static microvoids
Bazarra, Noelia
Thermoelasticity
Type III thermoelasticity
Quasi-static microvoids
Finite elements
A priori error analysis
Numerical simulations.
Termoelasticitat
Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74K Thin bodies, structures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
title_short A type III porous-thermo-elastic problem with quasi-static microvoids
title_full A type III porous-thermo-elastic problem with quasi-static microvoids
title_fullStr A type III porous-thermo-elastic problem with quasi-static microvoids
title_full_unstemmed A type III porous-thermo-elastic problem with quasi-static microvoids
title_sort A type III porous-thermo-elastic problem with quasi-static microvoids
dc.creator.none.fl_str_mv Bazarra, Noelia
Castejon, Alberto
Fernández, Jose R.
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author Bazarra, Noelia
author_facet Bazarra, Noelia
Castejon, Alberto
Fernández, Jose R.
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author_role author
author2 Castejon, Alberto
Fernández, Jose R.
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author2_role author
author
author
dc.subject.none.fl_str_mv Thermoelasticity
Type III thermoelasticity
Quasi-static microvoids
Finite elements
A priori error analysis
Numerical simulations.
Termoelasticitat
Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74K Thin bodies, structures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
topic Thermoelasticity
Type III thermoelasticity
Quasi-static microvoids
Finite elements
A priori error analysis
Numerical simulations.
Termoelasticitat
Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74K Thin bodies, structures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
description In this work we study, from the numerical point of view, a one-dimensional thermoelastic problem where the thermal law is of type III. Quasi-static microvoids are also assumed within the model. The variational formulation leads to a coupled linear system made of variational equations and it is written in terms of the velocity, the volume fraction and the temperature. Fully discrete approximations are introduced by using the finite element method and the backward Euler method. A discrete stability property and a priori error estimates are proved, deriving the linear convergence under adequate additional regularity. Finally, some numerical simulations are presented to demonstrate the accuracy of the approximation and the behavior of the solution
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-12-01
2021
2021-07-15
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/349448
https://dx.doi.org/10.1007/s11012-021-01398-0
url https://hdl.handle.net/2117/349448
https://dx.doi.org/10.1007/s11012-021-01398-0
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 4.0 International
https://creativecommons.org/licenses/by/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 4.0 International
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
_version_ 1869402892300976128
score 15.300719

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