Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid

Electronic version of an article published as "IMA Journal of applied mathematics", vol. 79, no 5, 2014, p. 778-789. DOI: 10.1093/imamat/hxt050 <http://imamat.oxfordjournals.org/content/79/5/778.abstract>

Detalles Bibliográficos
Autores: Quintanilla de Latorre, Ramón|||0000-0001-7059-7058, Rajagopal, Kumbakonam
Tipo de recurso: artículo
Fecha de publicación:2014
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:2117/24474
Acceso en línea:https://hdl.handle.net/2117/24474
https://dx.doi.org/10.1093/imamat/hxt050
Access Level:acceso abierto
Palabra clave:Elastic solids
Differentiable dynamical systems
Degradation
Diffusion
Constitutive relations
Uniqueness
Ani-plane strain
Sòlids elàstics
Sistemes dinàmics diferenciables
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
Àrees temàtiques de la UPC::Física::Física de l’estat sòlid
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
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spelling Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluidQuintanilla de Latorre, Ramón|||0000-0001-7059-7058Rajagopal, KumbakonamElastic solidsDifferentiable dynamical systemsDegradationDiffusionConstitutive relationsUniquenessAni-plane strainSòlids elàsticsSistemes dinàmics diferenciablesClassificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effectsClassificació AMS::74 Mechanics of deformable solids::74H Dynamical problemsÀrees temàtiques de la UPC::Física::Física de l’estat sòlidÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmicsElectronic version of an article published as "IMA Journal of applied mathematics", vol. 79, no 5, 2014, p. 778-789. DOI: 10.1093/imamat/hxt050 <http://imamat.oxfordjournals.org/content/79/5/778.abstract>Degradation of solids bearing load due to the infusion of moisture when exposed to the environment can leads to a decrease in their load carrying capacity and can also lead to the failure of the body from performing its intended task. In this short paper, we study some qualitative properties of the solution to systems of equations that describe the degradation in a linearized elastic solid due to the diffusion of a fluid. The model that is considered allows for the material properties of the solid to depend on the concentration of the diffusing fluid. While the load carrying capacity of a solid could decrease or increase due to the infusion of a fluid, we consider the case when degradation takes place. We are able to obtain results concerning the uniqueness of solutions to the problem under consideration. We also consider special anti-plane and quasi-static deformations of the body.Peer Reviewed20142014-10-0120142014-10-24journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/24474https://dx.doi.org/10.1093/imamat/hxt050reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/244742026-05-27T15:37:01Z
dc.title.none.fl_str_mv Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid
title Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid
spellingShingle Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
Elastic solids
Differentiable dynamical systems
Degradation
Diffusion
Constitutive relations
Uniqueness
Ani-plane strain
Sòlids elàstics
Sistemes dinàmics diferenciables
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
Àrees temàtiques de la UPC::Física::Física de l’estat sòlid
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
title_short Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid
title_full Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid
title_fullStr Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid
title_full_unstemmed Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid
title_sort Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid
dc.creator.none.fl_str_mv Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
Rajagopal, Kumbakonam
author Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author_facet Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
Rajagopal, Kumbakonam
author_role author
author2 Rajagopal, Kumbakonam
author2_role author
dc.subject.none.fl_str_mv Elastic solids
Differentiable dynamical systems
Degradation
Diffusion
Constitutive relations
Uniqueness
Ani-plane strain
Sòlids elàstics
Sistemes dinàmics diferenciables
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
Àrees temàtiques de la UPC::Física::Física de l’estat sòlid
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
topic Elastic solids
Differentiable dynamical systems
Degradation
Diffusion
Constitutive relations
Uniqueness
Ani-plane strain
Sòlids elàstics
Sistemes dinàmics diferenciables
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
Àrees temàtiques de la UPC::Física::Física de l’estat sòlid
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
description Electronic version of an article published as "IMA Journal of applied mathematics", vol. 79, no 5, 2014, p. 778-789. DOI: 10.1093/imamat/hxt050 <http://imamat.oxfordjournals.org/content/79/5/778.abstract>
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-10-01
2014
2014-10-24
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/2117/24474
https://dx.doi.org/10.1093/imamat/hxt050
url https://hdl.handle.net/2117/24474
https://dx.doi.org/10.1093/imamat/hxt050
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
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
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 15,300719

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