Examples of Rate-Theory Constitutive Equations Which Unify Elasticity and Plasticity

Abstract

Examples of rate theory types of constitutive relations are developed which allow as solutions both elastic and plastic stress-strain relations. Elastic behavior is associated with uniqueness of solutions and plastic behavior with non-uniqueness of solutions of ordinary differential equations. Transition from one elastic solution to another elastic solution through a plastic solution allows the description both of loading and unloading by the same set of constitutive differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA068467

Entities

People

  • Barry Bernstein

Organizations

  • Illinois Institute of Technology

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Birds
  • Constitutive Equations
  • Differential Equations
  • Elastic Properties
  • Equations
  • Flow
  • Hardening
  • Mathematics
  • Modulus Of Elasticity
  • New York
  • Plastic Flow
  • Plastic Properties
  • Strain Hardening
  • Stress Strain Relations
  • Stresses
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Health Monitoring of Composite Structures.