Elastic-Plastic Analysis of an Infinite Sheet Having a Circular Hole Under Pressure

[+] Author and Article Information
Y. C. Hsu

Department of Mechanical Engineering, The University of New Mexico, Albuquerque, New Mex.

R. G. Forman

Lyndon B. Johnson Space Center, Houston, Texas

J. Appl. Mech 42(2), 347-352 (Jun 01, 1975) (6 pages) doi:10.1115/1.3423579 History: Received July 01, 1974; Revised December 01, 1974; Online July 12, 2010


An exact elastic-plastic solution for the stresses in an infinite sheet having a circular hole subject to pressure is obtained on the basis of J2 deformation theory together with a modified Ramberg-Osgood law. The sheet is orthotropic but isotropic in its plane. The results are assessed on the basis of Budiansky’s criterion for the acceptability of J2 deformation theory. By using exact elastic-plastic stresses, the function connecting the pressure at the hole with the radial enlargement is obtained. Upon release of the pressure, residual stresses around the hole are produced.

Copyright © 1975 by ASME
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