Application of the Complementary Functions Method to an Accurate Elasticity Solution for the Radially Functionally Graded (FG) Rotating Disks with Continuously Variable Thickness and Density

Abstract

In this work, elastic stress and deformation distribution through the radial direction of FG rotating disks are accurately calculated by employing the complementary functions method. A parabolic variation of the thickness is used for the concave, linear and convex thickness profiles. The inner and outer surfaces of the FG disk are assumed to be ceramic-rich and metal-rich, respectively. Between these two surfaces material properties vary radially according to Mori-Tanaka grading rule. After confirming the present results with the analytical results for the uniform disk with power-law graded rule, the effect due to many parameters such as angular velocity, metal-ceramic pairs, and material grading index on the stresses and displacements is investigated.