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dc.contributor | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
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dc.contributor | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.contributor.author | Leseduarte Milán, María Carme |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.date | 2019-05 |
dc.identifier.citation | Leseduarte, 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.identifier.citation | 1081-2865 |
dc.identifier.citation | 10.1177/1081286518796474 |
dc.identifier.uri | http://hdl.handle.net/2117/122731 |
dc.description.abstract | In 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.description.abstract | Peer Reviewed |
dc.language.iso | eng |
dc.relation | http://journals.sagepub.com/doi/10.1177/1081286518796474 |
dc.relation | info:eu-repo/grantAgreement/ES/1PE/MTM2016-74934-P |
dc.rights | info:eu-repo/semantics/openAccess |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject | Differential equations, Hyperbolic |
dc.subject | Heat --Transmission -- Mathematical models |
dc.subject | Functionally graded materials |
dc.subject | heat conduction |
dc.subject | spatial decay estimates |
dc.subject | Saint-Venant’s principle |
dc.subject | inhomogeneity |
dc.subject | Calor -- Transmissió -- Models matemàtics |
dc.subject | Equacions diferencials hiperbòliques |
dc.subject | Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer |
dc.subject | Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type |
dc.title | Decay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder |
dc.type | info:eu-repo/semantics/submittedVersion |
dc.type | info:eu-repo/semantics/article |