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2013 Modeling of Thermal Distributions around a Barrier at the Interface of Coating and Substrate
Ali Sahin
Abstr. Appl. Anal. 2013(SI50): 1-8 (2013). DOI: 10.1155/2013/968464


Due to constant heat flux, the thermal distribution around an insulated barrier at the interface of substrate and functionally graded material (FGM) which are essentially two-phase particulate composites is examined in such a way that the volume fractions of the constituents vary continuously in the thickness direction. Using integral transform method, two-dimensional steady-state diffusion equation with variable conductivity is turned into constant coefficient differential equation. Reducing that equation to a singular integral equation with Cauchy type, the temperature distribution around the barrier is obtained by defining an unknown function, which is called density function, as a series expansion of orthogonal polynomials. Results are shown for different thickness and nonhomogeneity parameters of FGM.


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Ali Sahin. "Modeling of Thermal Distributions around a Barrier at the Interface of Coating and Substrate." Abstr. Appl. Anal. 2013 (SI50) 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095542
MathSciNet: MR3096827
Digital Object Identifier: 10.1155/2013/968464

Rights: Copyright © 2013 Hindawi


Vol.2013 • No. SI50 • 2013
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