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Qualitative properties in strain gradient thermoelasticity with microtemperatures
dc.contributor.author | Iesan, Dorin |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2018-02-20T09:23:05Z |
dc.date.available | 2018-02-20T09:23:05Z |
dc.date.issued | 2018-02-01 |
dc.identifier.citation | Iesan, D., Quintanilla, R. Qualitative properties in strain gradient thermoelasticity with microtemperatures. "Mathematics and mechanics of solids", 1 Febrer 2018, vol. 23, núm. 2, p. 240-258. |
dc.identifier.issn | 1081-2865 |
dc.identifier.uri | http://hdl.handle.net/2117/114271 |
dc.description.abstract | This paper is devoted to the strain gradient theory of thermoelastic aterials whose microelements possess microtemperatures. The work is motivated by an increasing use of materials which possess thermal variation at a microstructure level. In the first part of this paper we deduce the system of basic equations of the linear theory and formulate the boundary-initial-value problem. We establish existence, uniqueness, and continuous dependence results by the means of semigroup theory. Then, we study the one-dimensional problem and establish the analyticity of solutions. Exponential stability and impossibility of localization are consequences of this result. In the case of the anti-plane problem we derive uniqueness and instability results without assuming the positivity of the mechanical energy. Finally, we study equilibrium theory and investigate the effects of a concentrated heat source in an unbounded body |
dc.format.extent | 19 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Thermoelasticity |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.other | Strain gradient thermoelasticity |
dc.subject.other | Microtemperatures |
dc.subject.other | Existence and uniqueness results |
dc.subject.other | Analyticity |
dc.title | Qualitative properties in strain gradient thermoelasticity with microtemperatures |
dc.type | Article |
dc.subject.lemac | Termoelasticitat |
dc.subject.lemac | Equacions diferencials parcials |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.1177/1081286516680860 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials |
dc.rights.access | Open Access |
local.identifier.drac | 21976055 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO//MTM2013-42004-P/ES/ANALISIS MATEMATICO DE LAS ECUACIONES EN DERIVADAS PARCIALES DE LA TERMOMECANICA/ |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P |
local.citation.author | Iesan, D.; Quintanilla, R. |
local.citation.publicationName | Mathematics and mechanics of solids |
local.citation.volume | 23 |
local.citation.number | 2 |
local.citation.startingPage | 240 |
local.citation.endingPage | 258 |
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