DETERMINATION OF THE CONSTITUTIVE COEFFICIENTS FOR A MIXTURE OF TWO SOLIDS.

Abstract

Using a theory of mixtures allowing different temperatures for each constituent, we first discuss non-linear constitutive equations for a mixture of two elastic solids. Then, upon specialization, we determine relations between certain of the material constants related to each constituent and the corresponding constants related to the mixture. We linearize the constitutive equations by assuming that all displacements from the undeformed state, and all subsequent temperature changes, are small and we further show how to evaluate the constants appearing in the linearized constitutive equations, under certain assumptions which are shown to be thermodynamically consistent. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1968
Accession Number
AD0672917

Entities

People

  • T. R. Steel

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Climate Change
  • Coefficients
  • Constitutive Equations
  • Differential Equations
  • Displacement
  • Equations
  • Equations Of State
  • Materials
  • Mathematics
  • Partial Differential Equations
  • Specialization

Readers

  • Combustion science or combustion engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.