Mostra el registre d'ítem simple
Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section
dc.contributor.author | Knops, Robin J. |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2015-11-02T14:30:12Z |
dc.date.available | 2016-11-01T01:30:43Z |
dc.date.issued | 2015-10-01 |
dc.identifier.citation | Knops, R., Quintanilla, R. Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section. "Journal of elasticity", 01 Octubre 2015, vol. 121, núm. 1, p. 89-117. |
dc.identifier.issn | 0374-3535 |
dc.identifier.uri | http://hdl.handle.net/2117/78647 |
dc.description | The final publication is available at Springer via http://dx.doi.org/10.1007/s10659-015-9523-8 |
dc.description.abstract | Alternative growth and decay estimates, reminiscent of the classical Phragmén-Lindelöf principle, are derived for a linearised thermoelastic body whose plane crosssections increase unboundedly with respect to a given direction. The proof uses a modified Poincaré inequality to construct a differential inequality for a weighted linear combination of the cross-sectional mechanical and thermal energy fluxes. Decay estimates are deduced also for the cross-sectional mean square measures of the displacement and temperature. An explicit upper bound in terms of base data is established for the amplitude occurring in the decay estimates. |
dc.format.extent | 29 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Física::Termodinàmica |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials |
dc.subject.lcsh | Thermoelasticity--Mathematics |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.other | Thermoelastostatics |
dc.subject.other | Increasing cross-sections |
dc.subject.other | Phragmén-Lindelöf principle |
dc.title | Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section |
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 | 10.1007/s10659-015-9523-8 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids |
dc.relation.publisherversion | http://link.springer.com/article/10.1007%2Fs10659-015-9523-8 |
dc.rights.access | Open Access |
local.identifier.drac | 16869203 |
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 | Knops, R.; Quintanilla, R. |
local.citation.publicationName | Journal of elasticity |
local.citation.volume | 121 |
local.citation.number | 1 |
local.citation.startingPage | 89 |
local.citation.endingPage | 117 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.265]
-
Articles de revista [141]