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

摘要

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.