Finite Elastic Deformation of an Annular Rotating Disk

[+] Author and Article Information
J. B. Haddow, M. G. Faulkner

Dept. of Mechanical Engineering, University of Alberta, Alberta, Canada

J. Eng. Mater. Technol 98(4), 375-379 (Oct 01, 1976) (5 pages) doi:10.1115/1.3443392 History: Received April 28, 1975; Revised July 17, 1975; Online August 17, 2010


An accurate approximate method for the solution of the generalized plane stress problem of finite elastic deformation of a rotating annular disk is given. The method is applicable to both compressible and incompressible materials. Use of the nonlinear governing differential equation is avoided by considering the disk to be an aggregate of discrete coaxial rings, equations of motion, force balance and compatibility relations being formulated for the rings. Results are given for neo-Hookean disks and disks of a compressible material which has a strain energy function proposed by Blatz and Ko [7].

Copyright © 1976 by ASME
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