On an Extremum Principle for Mode Form Solutions in Plastic Structural Dynamics

[+] Author and Article Information
P. S. Symonds, T. Wierzbicki

Brown University, Providence, R. I.

J. Appl. Mech 42(3), 630-640 (Sep 01, 1975) (11 pages) doi:10.1115/1.3423655 History: Received December 01, 1974; Online July 12, 2010


An extremum principle of Lee and Martin [2], for mode form solutions of a structure deforming plastically as result of dynamic loading, is discussed with special reference to conditions for the extrema to be stationary, with vanishing first variation of a functional of kinematically admissible velocity fields. Three classes of material behavior are treated: rigid-perfectly plastic, rigid-viscoplastic, and viscous, the last having no yield function. We illustrate various forms of these which are realistic as well as convenient in problems of plastic dynamics of structures. For all three classes of material, we show that stationary extrema occur under certain conditions, but may be regarded as exceptional. The properties of the extrema for structures are illustrated by means of a simple discrete structure model with two masses.

Copyright © 1975 by ASME
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In