ON THE FOUNDATIONS OF NON-LINEAR THERMO-VISCO-ELASTICITY

Abstract

The fundamental relations for non-linear thermovi co la ticity re developed using the continuum mechanics approach. The constitutive equations and the heat conduction equation ar derived. Wi h proper specializations, the equations for the thermoelastic solid, the thermoviscou fluid and other pecial classes of materials, hitherto not studied, are obtained. Although the general theory eveloped p rtains to a non-linear gener-ALIZATION OF THE Voigt-type aterial, the procedure may be used in the formulation of other theories of thermo-viscoelasticity. Extensions to the Rivlin-Ericksen theory of viscoelasticity and the Noll theory of hygrosteric materials are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1962
Accession Number
AD0275993

Entities

People

  • A. Cemal Eringen
  • Severino L. Koh

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Continuum Mechanics
  • Elastic Properties
  • Equations
  • Materials
  • Mechanical Properties
  • Mechanics
  • Specialization
  • Viscoelasticity

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Snow Cover Descriptors for Reptiles and Their Illustrations.