Exponential stability in thermoelasticity with microtemperatures

This article is concerned with a linear theory for elastic materials with inner structure, whose particles in addition to the classical displacement, possess microtemperatures. In the main part of the paper we restrict our attention to the one-dimensional problem. First, we prove the slow decay of s...

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Authors: Sánchez Casas, José Pablo, Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
Format: article
Publication Date:2003
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/913
Online Access:https://hdl.handle.net/2117/913
Access Level:Open access
Keyword:Partial differential equations
Solid mechanics and its applications
Dynamical systems
thermoelasticity with microtemperatures
exponential stability
Física matemàtica
Equacions diferencials
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
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oai_identifier_str oai:upcommons.upc.edu:2117/913
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repository_id_str
spelling Exponential stability in thermoelasticity with microtemperaturesSánchez Casas, José PabloQuintanilla de Latorre, Ramón|||0000-0001-7059-7058Partial differential equationsSolid mechanics and its applicationsDynamical systemsthermoelasticity with microtemperaturesexponential stabilityFísica matemàticaEquacions diferencialsClassificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effectsClassificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of applicationClassificació AMS::74 Mechanics of deformable solids::74H Dynamical problemsThis article is concerned with a linear theory for elastic materials with inner structure, whose particles in addition to the classical displacement, possess microtemperatures. In the main part of the paper we restrict our attention to the one-dimensional problem. First, we prove the slow decay of solutions for the onedimensional problem of micromorphic elastic solids with the usual thermal effects. Then, we prove the exponential stability of the solutions when we consider the theory with microtemperatures. The anti-plane distributions of microtemperatures are considered later.20032003-01-0120072007-05-07journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/913reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/9132026-05-27T15:37:01Z
dc.title.none.fl_str_mv Exponential stability in thermoelasticity with microtemperatures
title Exponential stability in thermoelasticity with microtemperatures
spellingShingle Exponential stability in thermoelasticity with microtemperatures
Sánchez Casas, José Pablo
Partial differential equations
Solid mechanics and its applications
Dynamical systems
thermoelasticity with microtemperatures
exponential stability
Física matemàtica
Equacions diferencials
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
title_short Exponential stability in thermoelasticity with microtemperatures
title_full Exponential stability in thermoelasticity with microtemperatures
title_fullStr Exponential stability in thermoelasticity with microtemperatures
title_full_unstemmed Exponential stability in thermoelasticity with microtemperatures
title_sort Exponential stability in thermoelasticity with microtemperatures
dc.creator.none.fl_str_mv Sánchez Casas, José Pablo
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author Sánchez Casas, José Pablo
author_facet Sánchez Casas, José Pablo
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author_role author
author2 Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author2_role author
dc.subject.none.fl_str_mv Partial differential equations
Solid mechanics and its applications
Dynamical systems
thermoelasticity with microtemperatures
exponential stability
Física matemàtica
Equacions diferencials
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
topic Partial differential equations
Solid mechanics and its applications
Dynamical systems
thermoelasticity with microtemperatures
exponential stability
Física matemàtica
Equacions diferencials
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
description This article is concerned with a linear theory for elastic materials with inner structure, whose particles in addition to the classical displacement, possess microtemperatures. In the main part of the paper we restrict our attention to the one-dimensional problem. First, we prove the slow decay of solutions for the onedimensional problem of micromorphic elastic solids with the usual thermal effects. Then, we prove the exponential stability of the solutions when we consider the theory with microtemperatures. The anti-plane distributions of microtemperatures are considered later.
publishDate 2003
dc.date.none.fl_str_mv 2003
2003-01-01
2007
2007-05-07
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/913
url https://hdl.handle.net/2117/913
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
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-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
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
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score 15,301603

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