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radial inhomogeneity

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Heat Conduction in a Cylindrically Anisotropic Tube of a Functionally Graded Material
Jiann-Quo Tarn, Yung-Ming Wang
Journal:

Journal of Mechanics / Volume 19 / Issue 3 / September 2003

Published online by Cambridge University Press:

05 May 2011, pp. 365-372

Print publication:

September 2003
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A state space approach to heat conduction in a cylindrically anisotropic circular tube of functionally graded materials (FGM) is presented. A power-law type of the radial inhomogeneity for the FGM is considered. By means of eigenfunction expansion and matrix algebra, analytic solutions for transient and steady-state heat conduction in the FGM tube under general thermal boundary conditions are derived.