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Archive for Rational Mechanics and Analysis

, Volume 18, Issue 1, pp 51–82 | Cite as

Isotropic integrity bases for vectors and second-order tensors

Part II
  • A. J. M. Spencer
Article

Keywords

Neural Network Complex System Nonlinear Dynamics Electromagnetism Integrity Base 
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]
    Spencer, A. J. M., & R. S. Rivlin, Isotropic integrity bases for vectors and second-order tensors, Part I. Arch. Rational Mech. Anal. 9, 45 (1962).ADSMathSciNetCrossRefGoogle Scholar
  2. [2]
    Rivlin, R. S., Further remarks on the stress-deformation relations for isotropic materials. J. Rational Mech. Anal. 4, 681 (1955).MathSciNetzbMATHGoogle Scholar
  3. [3]
    Spencer, A. J. M., & R. S. Rivlin, The theory of matrix polynomials and its application to the mechanics of isotropic continua. Arch. Rational Mech. Anal. 2, 309 (1959).ADSMathSciNetCrossRefGoogle Scholar
  4. [4]
    Spencer, A. J. M., & R. S. Rivlin, Finite integrity bases for five or fewer symmetric 3x3 matrices. Arch. Rational Mech. Anal. 2, 435 (1959).ADSMathSciNetCrossRefGoogle Scholar
  5. [5]
    Spencer, A. J. M., & R. S. Rivlin, Further results in the theory of matrix polynomials. Arch. Rational Mech. Anal. 4, 214 (1960).ADSMathSciNetCrossRefGoogle Scholar
  6. [6]
    Spencer, A. J. M., The invariants of six symmetric 3x3 matrices. Arch. Rational Mech. Anal. 7, 64 (1961).ADSMathSciNetCrossRefGoogle Scholar
  7. [7]
    Smith, G. F., On the minimality of integrity bases for symmetric 3x3 matrices. Arch. Rational Mech. Anal. 5, 382 (1960).ADSMathSciNetCrossRefGoogle Scholar
  8. [8]
    Smith, G. F., On isotropic integrity bases. Arch. Rational Mech. Anal. 18 (1965).ADSMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1965

Authors and Affiliations

  • A. J. M. Spencer
    • 1
  1. 1.The UniversityNottingham

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