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Strain gradient theory of chiral Cosserat thermoelasticity without energy dissipation
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 | 2016-03-09T12:26:43Z |
dc.date.available | 2018-01-30T01:30:27Z |
dc.date.issued | 2016-05-15 |
dc.identifier.citation | Iesan, D., Quintanilla, R. Strain gradient theory of chiral Cosserat thermoelasticity without energy dissipation. "Journal of mathematical analysis and applications", 15 Maig 2016, vol. 437, núm. 2, p. 1219-1235. |
dc.identifier.issn | 0022-247X |
dc.identifier.uri | http://hdl.handle.net/2117/84039 |
dc.description.abstract | In this paper, we use the Green–Naghdi theory of thermomechanics of continua to derive a linear strain gradient theory of Cosserat thermoelastic bodies. The theory is capable of predicting a finite speed of heat propagation and leads to a symmetric conductivity tensor. The constitutive equations for isotropic chiral thermoelastic materials are presented. In this case, in contrast with the classical Cosserat thermoelasticity, a thermal field produces a microrotation of the particles. The thermal field is influenced by the displacement and microrotation fields even in the equilibrium theory. Existence and uniqueness results are established. The theory is used to study the effects of a concentrated heat source in an unbounded homogeneous and isotropic chiral solid. |
dc.format.extent | 17 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
dc.subject.lcsh | Thermoelasticity |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.other | Chiral materials |
dc.subject.other | Cosserat elasticity |
dc.subject.other | Strain gradient thermoelasticity |
dc.subject.other | Hyperbolic heat equation |
dc.subject.other | Uniqueness results |
dc.subject.other | Concentrated heat source |
dc.title | Strain gradient theory of chiral Cosserat thermoelasticity without energy dissipation |
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 | 10.1016/j.jmaa.2016.01.058 |
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.rights.access | Open Access |
local.identifier.drac | 17493859 |
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/ |
local.citation.author | Iesan, D.; Quintanilla, R. |
local.citation.publicationName | Journal of mathematical analysis and applications |
local.citation.volume | 437 |
local.citation.number | 2 |
local.citation.startingPage | 1219 |
local.citation.endingPage | 1235 |
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