Stress-Deformation Relations for Anisotropic Solids

  • G. F. Smith
  • R. S. Rivlin

Abstract

We consider a body of material to be subjected to a deformation in which a point of the material initially at X i in a rectangular Cartesian coordinate system x i moves to x i in the same coordinate, system. In the theory of finite elasticity it is assumed that there exists a strain-energy function W which is a polynomial function of the displacement gradients ∂x i /∂X j only.

Keywords

Anisotropy Triad 

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References

  1. Green, A. E., & R. S. Rivilin: Arch. Rational Mech. Anal. 1, 1–21 (1957).CrossRefGoogle Scholar
  2. Smith, G. F., & R. S. Rivlin: Trans. Amer. Math. Soc. (in the press)Google Scholar
  3. Weyl, H.: The Classical Groups, their invariants and representations. Princeton, N. J.: Princeton Univ. Press 1946Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • G. F. Smith
    • 1
  • R. S. Rivlin
    • 1
  1. 1.Brown UniversityProvidenceUSA

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