A Bounding Principle in the Theory of Work-Hardening Plasticity

[+] Author and Article Information
J. F. Soechting

Cornell University, Ithaca, N. Y.

R. H. Lance

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N. Y.

J. Appl. Mech 36(2), 228-232 (Jun 01, 1969) (5 pages) doi:10.1115/1.3564612 History: Received May 15, 1968; Revised August 20, 1968; Online September 14, 2011


A displacement bounding principle for continua loaded into the plastic range is presented. Use is made of Drucker’s inequality and the existence of a maximum complimentary work path between any two stress states. The bounding principle is applied to several examples.

Copyright © 1969 by ASME
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