FINITE DEFLECTIONS OF A SIMPLY SUPPORTED RIGID-PLASTIC CIRCULAR PLATE LOADED DYNAMICALLY

Abstract

A theoretical analysis is presented for the dynamic behavior of a simply supported rigid, perfectly plastic circular plate subjected to a rectangular pressure pulse. It is shown that this theory, which considers the simultaneous influence of membrane forces and bending moments, predicts final deformations which are considerably smaller than those given by the corresponding bending theory of Hopkins and Prager even when maximum deflections only of the order of the plate thickness are permitted. It is believed that this theoretical analysis should assist in the interpretation of the dynamic biaxial stress-strain characteristics of materials recorded on diaphragms fitted in impact tubes and could be developed further in order to describe the behavior of plates having other support conditions and different dynamic loading characteristics.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0656731

Entities

People

  • Norman Jones

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Bending Moments
  • Biaxial Stresses
  • Blast Loads
  • Deflection
  • Department Of Defense
  • Determinants (Mathematics)
  • Displacement
  • Dynamic Loads
  • Equations
  • Materials
  • Membranes
  • Payload
  • Pitot Tubes
  • Rhode Island
  • Static Loads
  • Strain Rate
  • Transverse

Fields of Study

  • Engineering

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Structural Dynamics.