A Theory of Viscoplasticity without a Yield Surface. Part 1. General Theory

Abstract

A mathematical theory is proposed of thermo-viscoplasticity which is a synthesis of experimentally observed material behavior on one hand, and the concepts of irreversible thermodynamics on the other. The underlying principle is that the history of deformation is defined in terms of a 'time scale' which is not measured by a clock, but is in itself a property of the material at hand. The theory is unifying in the sense that theories of plasticity, viscoelasticity and elasticity can be obtained from it as special cases by imposing suitable constraints on the material parameters involved; furthermore, it does not make use of the idea of a yield surface.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0725030

Entities

People

  • K. C. Valanis

Organizations

  • University of Iowa

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Aluminum Alloys
  • Constitutive Equations
  • Continuum Mechanics
  • Differential Equations
  • Energy
  • Equations
  • Free Energy
  • Heat Energy
  • Heat Flux
  • Materials
  • Mechanical Properties
  • Mechanics
  • Strain Rate
  • Stress Strain Relations
  • Stresses
  • United States

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Theoretical Analysis.