PLASTIC INSTABILITY IN RATE-DEPENDENT MATERIALS

Abstract

The paper presents a theoretical analysis of the time variation of strain gradients in a tensile specimen of rate-dependent material, the analysis being based on the assumption that the strain rate in the material is a function of the local values of stress and strain. The theory is used to determine the criterion for the growth of strain gradients, and it is shown that for a given material there exists a region of the stress-strain plane in which these gradients increase indefinitely with time. The theory is applied to materials with specific types of rate-dependence, and the results are related to experimental data obtained at constant rates of strain.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0656732

Entities

People

  • J. D. Campbell

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Dynamic Tests
  • Elongation
  • Engineering
  • Equations
  • Experimental Data
  • Flow
  • Hardening
  • High Temperature
  • Materials
  • Plastic Flow
  • Stability Conditions
  • Steel
  • Strain Hardening
  • Strain Rate
  • Stress Strain Relations
  • Stresses

Readers

  • Mathematical Modeling and Probability Theory.
  • Mechanical Engineering/Mechanics of Materials.