A Coupled, Isotropic Theory of Thermoviscoplasticity and its Prediction for Stress and Strain Controlled Loading in Torsion

  • E. P. Cernocky
  • E. Krempl

Abstract

A coupled, isotropic, infinitesimal theory of thermoviscoplasticity was developed in [32,33] and applied to a variety of loadings including thermal monotonic and cyclic straining [32]. In this paper we rederive the coupled equatioris using the first law of thermodynamics. The predictions of the theory in torsion are examined qualitatively and by numerical experiments. They simulate monotonic loading at loading rates differing by four orders of magnitude. Jumps in loading rate are also included. The theory exhibits initial linear elastic response followed by nonlinear, rate-dependent plastic behavior. The adiabatic temperature changes are initially isothermal followed by heating. The theory exhibits rate-dependence, a difference in strain and stress controlled loading and deformation induced temperature changes which are qualitatively in agreement with recent experiments.

Keywords

Entropy Titanium Polyethylene Polymethylmethacrylate Cold Work 

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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • E. P. Cernocky
    • 1
  • E. Krempl
    • 2
    • 3
  1. 1.Dept. of Mechanical Eng.University of ColoradoBoulderUSA
  2. 2.Dept. of Mechanical Eng.Rensselaer Polytechnic InstituteTroyUSA
  3. 3.Aeronautical Eng. & MechanicsRensselaer Polytechnic InstituteTroyUSA

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