Stability of a Thick Elastic Plate Under Thrust.

Abstract

When a rectangular plate of incompressible neo-Hookean elastic material is subjected to a thrust, bifurcations of the flexural or barreling types become possible at certain critical values of the compression ratio. The states of pure homogeneous deformation corresponding to these critical compression ratios are states of neutral equilibrium. Their stability is investigated on the basis of an energy criterion, without restriction on the thickness of the plate. The critical state corresponding to the lowest order flexural mode is found to be stable (unstable) if the aspect ratio (thickness/length) is less (greater) than about 0.2. Agreement with the classical Euler theory is established in the limiting case of small aspect ratio. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1980
Accession Number
ADA085113

Entities

People

  • K. N. Sawyers
  • Ronald Rivlin

Organizations

  • Lehigh University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Agreements
  • Aspect Ratio
  • Boundaries
  • Cams
  • Cartesian Coordinates
  • Compression
  • Compression Ratio
  • Content Addressable Memory
  • Coordinate Systems
  • Differential Equations
  • Elastic Materials
  • Equations
  • Materials
  • Mathematics
  • Military Research
  • Potential Energy
  • Power Series

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Structural Health Monitoring of Composite Structures.