Thermal stress analysis of annular fin made of functionally graded material

In this thesis, the temperature distribution and the thermal stresses in a steady functionally graded annular fin with a rectangular profile are investigated. The temperature distribution and the thermal stress are investigated analytically in an annular fin in which modulus of elasticity, linear thermal expansion and thermal conductivity are assumed to vary along to radial direction as a power law function with constant Poisson's ratio. In order to show the effect of Poisson ratio on the thermal stresses, the case in which the Poisson's ratio is also changed radially as a power law function is handled. In this case, the analytical solution of the thermal stresses are not possible. Therefore, Complementary Function Method (CFM) is used to determine temperature distribution and thermal stresses in the steady functionally graded annular fin. The accuracy of the method was tested by comparing with the analytical results for constant Poisson's ratio. The effect of the inhomogeneity parameters on temperature distribution and thermal stresses are discussed. It has been shown that although the the steady functionally graded annular fin has higher tip temperature than annular homogeneous fin, it can be subjected to lower stresses.