TY - JOUR
TI - Modeling of Thermal Distributions around a Barrier at the Interface of Coating and Substrate
VL - 2013
PY - 2013
DA - 2013/09/09
DO - 10.1155/2013/968464
UR - https://doi.org/10.1155/2013/968464
AB - 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.
JF - Abstract and Applied Analysis
SN - 1085-3375
PB - Hindawi Publishing Corporation
SP - 968464
KW -
A2 - Kılıçman, Adem
AU - Sahin, Ali
ER -