Power Series Solution Method for Elastic Analysis of FGM Thick Cylindrical Pressure Vessels

Abstract

In this paper, elastic analysis for thick cylindrical pressure vessels made of functionally graded material (FGM) in the plane strain condition
by using power series solution method (PSSM) is carried out. Material properties are considered as a function of the radius of the pressure vessel
to a power law function and the Poisson’s ratio is assumed as constant. Following this, profiles are plotted for different values of the powers of
the module of elasticity for the radial displacement, radial stress, and circumferential stress, as a function of radial direction. A numerical solution
using finite element method (FEM) is also presented and good agreement was found between the analytical solutions and the solutions carried out
through the FEM. The values used in this study are arbitrary chosen to demonstrate the effect of inhomogeneity parameter on displacements, and
stresses distributions.