On an Extremum Principle for Mode Form Solutions in Plastic Structural Dynamics.
Abstract
An extremum principle of Lee and Martin, 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. The authors 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, the authors 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1974
- Accession Number
- ADA004294
Entities
People
- Paul S. Symonds
- Tomasz Wierzbicki
Organizations
- Brown University