Elastic Analysis of an Hollow Cylinder Made from Functionally Graded Material Exposed to Internal Pressure

Abstract

This study relates to the determination of radial and tangential stresses and radial displacements in a hollow cylinder made of functional graded material (FGM) subject to internal pressure both analytically and using ANSYS APDL and comparison of the results. The material properties of the FGM cylinder vary depending on a simple power function in the radial direction along the thickness. It is assumed that the Poisson's ratio is constant in the radial direction. Under infinitesimally small deformations, radial and tangential stress and radial displacements on the basis of the differential equation regulating the elastostatic behavior of an FGM cylinder using the plane strain and axial symmetric load assumptions state and field equations were obtained for the analytical solution. The FGM cylinder subjected to internal pressure effect is modeled using dummy thermal loads in ANSYS APDL. The results of radial and tangential stress and radial deformation along the thickness are obtained for four different FGM types and are shown graphically. Analytical and ANSYS results were compared and found to be in one accord. In this study, elastic analysis of the FGM cylinder was aimed to enable the results to be obtained without having to deal with complicated mathematical expressions.