General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads

In this paper the general theoretical analysis of two-dimensional steady-state thermal stresses for a hollow thick cylinder made of functionally graded material is developed. The temperature distribution is assumed to be a function of radial and circumferential directions with general thermal and mechanical boundary conditions on the inside and outside surfaces. The material properties, except Poissons ratio, are assumed to depend on the variable r and they are expressed as power functions of r The separation of variables and complex Fourier series are used to solve the heat conduction and Navier equations.