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Field Equations for Thermoelastic Bodies with Uniform Symmetry

  • Chao Chen Wang
Part of the CISM International Centre for Mechanical Sciences book series (CISM)

Abstract

In a purely mechanical theory of inhomogeneous bodies formulated recently by Noll [1] and Wang [2] two basic assumptions are used: material uniformity and smoothness. In this paper, I generalize that theory in two respects: First, I replace the assumption of material uniformity by a similar but somewhat weaker assumption of symmetry uniformity. That is, I require the points of a body to have the same mate rial symmetry rather than the same material response. Clearly, material uniformity implies symmetry uniformity, but the converse is not true in general. Second, I consider thermodynam-ical state variables and state functions in this paper, and I derive the thermodynamical field equations for inhomogeneous bodies.

Keywords

Symmetry Group Field Equation Constitutive Relation Deformation Gradient Reference Configuration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    W. Noll, Arch. Rational Mech. Anal. 27, 1–32 (1967). Reprinted in Continuum Theory of Inhomogeneities in Simple Bodies, Springer-Verlag (1968)ADSCrossRefMathSciNetGoogle Scholar
  2. [2]
    C.-C. Wang, Arch. Rational Mech. Anal. 27, 33–94 (1967) Reprinted in Continuum Theory of Inhomogeneities in Simple Bodies, Springer-Verlag (1968)ADSCrossRefMATHMathSciNetGoogle Scholar
  3. [3]
    C.-C. Wang, ‘Thermodynamics of Inhomogeneous Bodies” Proc. Int’l Conf. “Fundamental Aspects of Dislo cations,” National Bureau of Standards, April 1970.Google Scholar

Copyright information

© Springer-Verlag Wien 1972

Authors and Affiliations

  • Chao Chen Wang
    • 1
  1. 1.University of HoustonUSA

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