Elastic analysis of pressurized thick cylindrical shells with variable thickness made of functionally graded materials

In this paper, using the first-order shear deformation theory (FSDT) and matched asymptotic method (MAM) of the perturbation theory, an analytical solution for deformations and stresses of axisymmetric clamped–clamped thick cylindrical shells with variable thickness made of functionally graded materials (FGMs) subjected to internal pressure are presented. The governing equations are a system of ordinary differential equations with variable coefficients. Using the MAM of the perturbation theory, these equations could be converted into a system of algebraic equations and two systems of differential equations with constant coefficients. The displacements and stresses along the radius and length have been plotted and distribution of these is compared with the solution using finite element method (FEM).