Alternate Developments of the Thermomechanical Equations for Thermoviscoelastic Solids,

Abstract

The constitutive equations required to analyze the behavior of thermorheologically simple materials in which thermomechanical coupling effects are of interest are derived from three different viewpoints. The theory of irreversible thermodynamics developed by Biot, the rational mechanics approach developed by Coleman, and a phenomenological model approach described by Staverman and Schwarzl are each used to obtain the energy equation, including the dissipation function, for thermoviscoelastic materials. Although the approaches are considerably different, the results are shown to be practically equivalent. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 11, 1971
Accession Number
AD0720290

Entities

People

  • Thomas L. Cost

Organizations

  • University of Alabama in Huntsville

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Contracts
  • Cooperation
  • Couplings
  • Dissipation
  • Equations
  • Equations Of State
  • Materials
  • Mathematics
  • Mechanics
  • Physics
  • Thermodynamics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.