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.
Skip Nav Destination
A Comparison of Flow and Deformation Theories in a Radially Stressed Annular Plate
P. C. T. Chen
Benet Weapons Laboratory, U. S. Army Watervliet Arsenal, Watervliet, N. Y.
- Views Icon Views
- Share Icon Share
- Search Site
Chen, P. C. T. (March 1, 1973). "A Comparison of Flow and Deformation Theories in a Radially Stressed Annular Plate." ASME. J. Appl. Mech. March 1973; 40(1): 283–287. https://doi.org/10.1115/1.3422941
Download citation file:
Get Email Alerts
Computational Modeling of Electrochemomechanics of High-Capacity Composite Electrodes in Li-Ion Batteries
J. Appl. Mech (August 2022)