Stress analysis of functionally graded discs under mechanical and thermal loads: Analytical and numerical solutions

Abstract

This study deals with stress analysis of functionally graded discs subjected to internal pressure and various temperature distributions, such as uniform T, linearly increasing To, and decreasing T i temperatures in radial directions. For analytical study, the closed-form solutions for stresses and displacements are obtained by using the infinitesimal deformation theory of elasticity. For graded parameters, power law functions are used in analytical and numerical solutions. For numerical study, discs are modeled and analyzed by using a commercial finite element program, ANSYS®. Metal matrix composite, AlSiC, is selected as disc material. Results obtained both analytical and numerical solutions are found very well consistent with each other. The tangential stresses are found higher than the radial stresses at the inner surface for all thermal loads, and they vary from compressive to tensile and from tensile to compressive depending on the functionally graded material (FGM) properties and temperature loads. The radial stresses are found zero at the inner and outer surface and higher at one third of the disc section near the inner surface. They are also found as compressive and tensile stresses depending on the material properties and temperature loads.