A UNIFIED THEORY OF THERMOMECHANICAL MATERIALS.

Abstract

The present paper is an attempt to organize and unify the mechanics, thermodynamics and constitutive equations of non-polar materials subject to thermal effects and mechanical forces. The approach is that of continuum theory. The philosophy is new in that it unifies and extends all known theories under certain common fundamental axioms, some of which are introduced here for the first time. All theories of simple solids and fluids turn out to be special cases of this theory. Several theorems are given on the inexistence of certain classes of non-simple thermosolids and the restricted forms of the constitutive equations of other thermomechanical materials. A general class of non-simple thermo-fluids is studied and the specific form of the constitutive equations of second order Stokesian thermo-fluids are obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0473724

Entities

People

  • A. Cemal Eringen

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Equations
  • Equations Of State
  • Materials
  • Mathematics
  • Mechanics
  • Philosophy
  • Physics
  • Thermodynamics

Fields of Study

  • Mathematics

Readers

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