Plastic Stress Concentration at a Circular Hole in an Infinite Sheet Subjected to Equal Biaxial Tension

[+] Author and Article Information
Bernard Budiansky

Division of Engineering and Applied Physics, Harvard University, Cambridge, Mass.

O. L. Mangasarian

Shell Development Company, Emeryville, Calif.

J. Appl. Mech 27(1), 59-64 (Mar 01, 1960) (6 pages) doi:10.1115/1.3643935 History: Received December 29, 1958; Online September 16, 2011


With the use of J2 deformation theory, the stress-concentration factor at a circular hole in an infinite sheet of strain-hardening material subjected to equal biaxial tension at infinity is found for a variety of representative materials. The analysis exploits a transformation which permits the calculation of the stress-concentration factor without determining the stress distribution in the sheet. Subsequent calculations reveal that, for a monotonically increasing applied stress, the stress history at all points in the sheet is nearly radial.

Copyright © 1960 by ASME
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