Heat Conduction in a Cylindrically Anisotropic Tube of a Functionally Graded Material

Publisher: Cambridge University Press

E-ISSN: 1811-8216|19|3|365-372

ISSN: 1727-7191

Source: Journal of Mechanics, Vol.19, Iss.3, 2003-09, pp. : 365-372

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Abstract

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.