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Decay rates of Saint-Venant type for functionally graded heat-conducting materials
- Source :
- UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC), Recercat. Dipósit de la Recerca de Catalunya, instname
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- This paper investigates decay rates for the spatial behaviour of solutions for functionally graded heat-conducting materials. From a mathematical point of view, we obtain a new inequality of Poincarétype. This new result allows us to give new decay rates for functionally graded materials when the inhomogeneity depends on the radial variable and the axial variable of the cylinder. The case when the cross-section is increasing is also considered. Besides, we propose to obtain estimates for the case of mixtures. Some pictures illustrate our estimates.
- Subjects :
- Functionally graded materials
Saint venant
Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC]
Type (model theory)
35 Partial differential equations::35J Partial differential equations of elliptic type [Classificació AMS]
symbols.namesake
Cylinder
General Materials Science
Point (geometry)
Calor -- Conducció
Heat conduction
Variable (mathematics)
Spatial decay estimates
Heat conducting
Physics
80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer [Classificació AMS]
Mechanical Engineering
Mathematical analysis
General Engineering
Differential equations, Partial
Equacions diferencials parcials
Thermal conduction
Heat -- Conduction
Mechanics of Materials
Poincaré conjecture
symbols
Subjects
Details
- ISSN :
- 00207225
- Volume :
- 139
- Database :
- OpenAIRE
- Journal :
- International Journal of Engineering Science
- Accession number :
- edsair.doi.dedup.....dd59d19d4ea177f6a4b65590c5b0e04f