Nonuniqueness in Elastoplastic Frames

[+] Author and Article Information
W. A. M. Alwis

Department of Civil Engineering, National University of Singapore, Kent Ridge, 0511 Singapore

J. Appl. Mech 59(3), 688-690 (Sep 01, 1992) (3 pages) doi:10.1115/1.2893784 History: Received October 03, 1990; Revised April 30, 1991; Online March 31, 2008


Lack of uniqueness of the kinematic solution of elastoplastic flexural frames is studied by deriving a general solution for nonholonomic behavior. A singular hinge set is defined as a collection of plastic hinges that would form a mechanism if they were replaced by mechanical hinges. It is shown that whenever singular subsets can be found among active plastic hinges, the kinematic solution may become nonunique. The rate of work done by the load rates on the contributing mechanisms must be zero if a prevailing nonuniqueness is to sustain.

Copyright © 1992 by The American Society of Mechanical Engineers
Topics: Stress , Hinges , Mechanisms
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