Analysis of Functionally Graded Rotating Disks with Parabolic Concave Thickness Applying an Exponential Function and the Mori-Tanaka Scheme

In this paper, a semi-analytical investigation intended to determine the axisymmetric elastic response of functionally graded (FG) disks. The material properties of the disk are assumed to be graded continuously along the radial direction. An exponential function and the Mori-Tanaka scheme are used for estimating the effective material properties. Two kinds of functionally graded materials (FGMs) namely metal-ceramic and ceramic-metal are considered. Hollow disks are considered and the solutions for the displacements and stresses are given under appropriate boundary conditions. The effects of the material grading index n and the geometry of the disk on the displacements and stresses are investigated. The results in metal-ceramic and ceramic-metal FGMs are compared. These results show that radial displacement in Ceramic-Metal functionally graded disks are smaller than those in Metal-Ceramic FG disks. These results suggest that a rotating functionally graded disk with concave thickness profile can be more efficient than the one with uniform thickness.