Yield Surfaces for Perforated Materials

[+] Author and Article Information
W. J. O’Donnell

O’Donnell & Associates, Inc., Pittsburgh, Pa.

J. Porowski

Prosynchem, Gliwice, Poland; O’Donnell & Associates, Inc., Pittsburgh, Pa.

J. Appl. Mech 40(1), 263-270 (Mar 01, 1973) (8 pages) doi:10.1115/1.3422938 History: Received October 01, 1971; Revised February 01, 1972; Online July 12, 2010


The sheet perforated with a uniform triangular pattern of round holes and subjected to in-plane stress of arbitrary biaxiality is investigated. Discontinuous fields of stress are employed to derive rigorous lower-bound limit stresses. Kinematically admissible velocity fields are also obtained, thus bounding the yield surface.

Copyright © 1973 by ASME
Topics: Stress
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