Stress Analysis of Thick-Wall Hollow Functionally Graded Material Based on Plane Strain Problem

Abstract

In this study, the mechanical behaviours of thick-walled hollow functionally graded material (FGM) cylinder subjected to uniform pressures at inner and outer surfaces are proposed. The hollow FGM cylinder has variable geometric profile, thickness and material properties like elastic modulus and mass density are all assumed to vary radially according to exponentially-varying functions in radial direction. With the help of the infinitesimal elasticity theory and plane strain assumption, analytic solutions of stress and deformation are proposed. Numerical example is given to show the performance between FEM and homogeneous cylinder. Finally, summary and the future work are presented at the end of the paper.