Elastic solution of pressurized clamped-clamped thick cylindrical shells made of functionally graded materials

The effect of material inhomogeneity on displacements and stresses of an internally pressurized clamped-clamped thick hollow cylinder made of functionally graded materials is investigated. The modulus of elasticity is graded along the radial direction according to power functions of the radial direction. It is assumed that Poisson's ratio is constant across the cylinder thickness. The governing differential equations were generally derived, making use of the first-order shear deformation theory (FSDT). Following that, the set of non-homogenous linear differential equations for the cylinder with clamped-clamped ends was solved, and the effect of loading and supports on the stresses and displacements was investigated. The problem was also solved, using the finite element method (FEM), the results of which were compared with those of the analytical method.