A Comparison of Flow and Deformation Theories in a Radially Stressed Annular Plate

[+] Author and Article Information
P. C. T. Chen

Benet Weapons Laboratory, U. S. Army Watervliet Arsenal, Watervliet, N. Y.

J. Appl. Mech 40(1), 283-287 (Mar 01, 1973) (5 pages) doi:10.1115/1.3422941 History: Received July 01, 1971; Revised February 01, 1972; Online July 12, 2010


Two mathematically consistent solutions to the strains and displacement in a partly plastic, annular plate stressed by internal pressure are obtained according to the deformation theory of Hencky and to the flow theory of Prandtl-Reuss. In both cases, the material is assumed to be elastic, perfectly plastic and obeying the Mises yield condition. It is shown that one solution is expressed in closed form and the other, in terms of simple integrals. A quantitative comparison of two theories is given and the effect of compressibility is discussed.

Copyright © 1973 by ASME
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