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Decay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder

Author
Leseduarte, M. C.; Quintanilla, R.
Type of activity
Journal article
Journal
Mathematics and mechanics of solids
Date of publication
2018-09-18
DOI
https://doi.org/10.1177/1081286518796474 Open in new window
Project funding
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/122731 Open in new window
URL
http://journals.sagepub.com/doi/10.1177/1081286518796474 Open in new window
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 p...
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", 18 Setembre 2018.
Keywords
Functionally graded materials, Saint-Venant’s principle, heat conduction, inhomogeneity, spatial decay estimates
Group of research
GRAA - Research Group in Applied Analysis

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