Effect of Inhomogeneity Constant on Equivalent Stresses in Elastic Analysis of Hollow Cylinder Made from Functionally Graded Material

Abstract

In this study, the determination of the equivalent stresses required for the elastic analysis of a hollow cylinder made of functional graded material (FGM) subjected to internal and external pressures was determined quickly and accurately, and its evaluation was discussed. The Poisson’s ratio is thought to be constant. The functional grading for the modulus of elasticity varies radially along the thickness of the cylinder and depending on a simple power law function. Radial, tangential (hoop) and equivalent stresses with radial displacements in the cylinder are determined rapidly by modeling both analytically and by the finite element method (FEM) numerically. Outcomes of both methods were compared and found to be in harmony. At the same time, differently from previous studies in my paper, the influence of the inhomogeneity constant of the material on equivalent stresses was investigated and the results are presented in graphical form.