STABILITY OF A PRISMATIC BAR UNDER THE INFLUENCE OF A COMPRESSIONAL STRAIN WAVE

Abstract

A study is made of critical strain distributions introduced into a bar by dynamical loading in an axial direction. Transverse vibrations of the bar which may result from this type of loading are investigated. It is considered that they are really involved in an extension of the problem. The theory is developed in some detail for cases of bars of elastic material having Hookean or non-Hookean stress-strain laws. Also, consideration is given to the case of the bar in the plastically deformed state. One of the conclusions from the study is that the proposed method for determining critical states of strain suggests a means for experimentally investigating various plastic wave theories. Assuming tentatively a given theory of plastic strain propagation into the bar the critical strain distribution may be calculated. Indications of plastic buckling may then be investigated. The buckled shapes should also provide information on the theory of wave propagation.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1952
Accession Number
AD0490099

Entities

People

  • W. H. Hoppmann Ii

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • C4I
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Aeronautics
  • Applied Mechanics
  • Civil Engineering
  • Contracts
  • Differential Equations
  • Dynamic Loads
  • Engineering
  • Equations
  • Materials
  • Materials Laboratories
  • Mechanics
  • Military Research
  • Naval Architecture
  • Navy
  • New York
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Engineering
  • Physics

Readers

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