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Journal of Materials
Volume 2013 (2013), Article ID 809205, 9 pages
http://dx.doi.org/10.1155/2013/809205
Research Article

Finite Difference Solution of Elastic-Plastic Thin Rotating Annular Disk with Exponentially Variable Thickness and Exponentially Variable Density

Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector 62, Noida-201307, Uttar Pradesh, India

Received 10 December 2012; Accepted 14 February 2013

Academic Editor: Francois Peeters

Copyright © 2013 Sanjeev Sharma and Yadav Sanehlata. 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.

Abstract

Elastic-plastic stresses, strains, and displacements have been obtained for a thin rotating annular disk with exponentially variable thickness and exponentially variable density with nonlinear strain hardening material by finite difference method using Von-Mises' yield criterion. Results have been computed numerically and depicted graphically. From the numerical results, it can be concluded that disk whose thickness decreases radially and density increases radially is on the safer side of design as compared to the disk with exponentially varying thickness and exponentially varying density as well as to flat disk.