A General Solution for the Elastoplastic Thermal Stresses in a Strain-Hardening Plate With Arbitrary Material Properties

[+] Author and Article Information
A. Mendelson, S. W. Spero

Lewis Research Center, National Aeronautics and Space Administration, Cleveland, Ohio

J. Appl. Mech 29(1), 151-158 (Mar 01, 1962) (8 pages) doi:10.1115/1.3636447 History: Received January 27, 1961; Online September 16, 2011


A general method is presented for obtaining the elastoplastic stress and strain distributions in a thermally stressed plate of a strain-hardening material with temperature-varying modulus, yield point, and coefficient of thermal expansion. It is shown that for linear strain-hardening the solution can often be obtained in closed form. It is indicated that the error due to neglecting strain-hardening may sometimes be appreciable. The assumption that the total strain remains the same as that computed elastically (strain invariance) often leads to smaller errors than the neglect of strain-hardening.

Copyright © 1962 by ASME
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