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TECHNICAL BRIEFS

Elastic-Plastic Plane Strain Analysis of Compressible Materials

[+] Author and Article Information
Hui Fan, G. E. O. Widera

Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, Ill. 60680

J. Pressure Vessel Technol 109(3), 357-358 (Aug 01, 1987) (2 pages) doi:10.1115/1.3264878 History: Received May 14, 1987; Online November 05, 2009

Abstract

The analysis of elastic, perfectly plastic compressible materials under the assumption of plane strain is a statically indeterminate problem. In the present paper, by introducing a perturbation parameter ε = 1/2 −ν, the problem can be changed into a series of statically determinate ones. The first-order approximation yields the solution for the incompressible material. In order to show the details of this method, the second-order approximation for the problem of the thick-walled cylinder under internal pressure is obtained.

Copyright © 1987 by ASME
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