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Mathematical Problems in Engineering
Volume 2018, Article ID 1871674, 11 pages
Research Article

Elastic Stress Analysis of Rotating Functionally Graded Annular Disk of Variable Thickness Using Finite Difference Method

1Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL, Canada
2Department of Mechanical and Aerospace Engineering, Malek Ashtar University of Technology, Isfahan, Iran

Correspondence should be addressed to Mohammad Hadi Jalali; ac.num@uodonilalajm

Received 20 July 2017; Accepted 14 February 2018; Published 25 March 2018

Academic Editor: Fiorenzo A. Fazzolari

Copyright © 2018 Mohammad Hadi Jalali and Behrooz Shahriari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Elastic stress analysis of rotating variable thickness annular disk made of functionally graded material (FGM) is presented. Elasticity modulus, density, and thickness of the disk are assumed to vary radially according to a power-law function. Radial stress, circumferential stress, and radial deformation of the rotating FG annular disk of variable thickness with clamped-clamped (C-C), clamped-free (C-F), and free-free (F-F) boundary conditions are obtained using the numerical finite difference method, and the effects of the graded index, thickness variation, and rotating speed on the stresses and deformation are evaluated. It is shown that using FG material could decrease the value of radial stress and increase the radial displacement in a rotating thin disk. It is also demonstrated that increasing the rotating speed can strongly increase the stress in the FG annular disk.