ON THE CONCEPT OF STABILITY OF INELASTIC SYSTEMS

Abstract

The various methods of structural analysis are reviewed, and the basic elastic buckling problem of the Euler strut is discussed. Simple models are used to show the important differences between buckling in the plastic range and classical elastic instability. Nonlinear behavior is shown often to be the key to a physically valid solution. The nonconservative nature of plastic deformation alone or in combination with nonlinearity requires concepts not to be found in classical approaches. However, the classical linearized condition of neutral equilibrium is not relevant in inelastic buckling. Analyses of the models suggest that the same information is obtained from essentially static systems by assuming initial geometrical imperfections as by assuming dynamic disturbances. Both approaches are helpful in understanding the physical phenomena.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1953
Accession Number
AD0016274

Entities

People

  • D. C. Drucker
  • E. T. Onat

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Engineering
  • Equations
  • Geometric Forms
  • Geometry
  • Kinetic Energy
  • Materials
  • Mathematics
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • New Jersey
  • New York
  • Ordnance Laboratories
  • Physics Laboratories
  • Stress Strain Relations
  • Stresses

Readers

  • Structural Dynamics.
  • Theoretical Analysis.