Abstract

Using the infinitesimal theory of elasticity, closed form solutions for one-dimensional steady-state thermal stresses in a rotating functionally graded (FGM) pressurized thick-walled hollow circular cylinder are obtained under generalized plane strain and plane stress assumptions, respectively. The material properties are assumed to vary nonlinearly in the radial direction and the Poisson’s ratio is assumed constant. The temperature distribution is assumed to be a function of radius, with general thermal and mechanical boundary conditions on the inside and outside surfaces of the cylinder. The direct method is used to solve the heat conduction and Navier equations. The steady-state temperature, displacements and stresses distributions depending on an in homogeneity constant are compared with those of the homogeneous case and presented in the form of graphs. The values used in this study are arbitrary chosen to demonstrate the effect of in homogeneity on displacements, and stresses distributions.

Key words: FGM, hollow circular cylinder, rotating, thermal stresses, elasticity.