Iterative technique for elastic analysis of FGM thick cylindrical shells with exponentially-varying properties

Using the iterative technique, the elastic analysis for thick-walled cylindrical shells of functionally graded materials (FGMs) in the plane strain condition is presented. The mechanical properties are assumed to obey the exponential variations in the radial direction, and the Poisson s ratio is assumed to be constant. In the present paper, a semi-analytical iterative technique, one of the newest analytical methods, is employed to solve the governing Navier equation. For different values of inhomogeneity constant, distributions of radial displacement, radial stress and circumferential stress, as a function of radial direction, are obtained. A numerical solution, using finite element method (FEM), is also presented. Good agreement was found between the semi-analytical results and the those obtained through FEM.