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dc.contributor.authorLeseduarte Milán, María Carme
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationLeseduarte, M. C., Quintanilla, R. Decay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder. "Mathematics and mechanics of solids", Maig 2019, vol. 24, núm. 5, p. 1368-1386.
dc.description.abstractIn this paper we consider the case of a functionally graded heat-conducting hollowed cylinder. Our purpose is to investigate the consequences of the material inhomogeneity on the decay of Saint-Venant end effects in the case of linear isotropic rigid solids. The mathematical issues involve the implications of spatial inhomogeneity on the decay rates of solutions to Dirichlet boundary-value problems. The rate of decay is characterized in terms of the smallest eigenvalue of a Sturm–Liouville problem. We first consider the case where the inhomogeneity depends on the radius of the cross-section, but later we also consider the case where the inhomogeneity also depends on the axial variable. The last section considers the case where the cross-section is increasing. Some tables and figures illustrate our estimates.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshDifferential equations, Hyperbolic
dc.subject.lcshHeat --Transmission -- Mathematical models
dc.subject.otherFunctionally graded materials
dc.subject.otherheat conduction
dc.subject.otherspatial decay estimates
dc.subject.otherSaint-Venant’s principle
dc.titleDecay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder
dc.subject.lemacCalor -- Transmissió -- Models matemàtics
dc.subject.lemacEquacions diferencials hiperbòliques
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
dc.subject.amsClassificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorLeseduarte, M. C.; Quintanilla, R.
upcommons.citation.publicationNameMathematics and mechanics of solids

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