Advertisement

Archive for Rational Mechanics and Analysis

, Volume 11, Issue 1, pp 385–414 | Cite as

Elastic materials with couple-stresses

  • R. A. Toupin
Article

Keywords

Neural Network Complex System Nonlinear Dynamics Electromagnetism Elastic Material 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Truesdell, C., & R. Toupin: The Classical Field Theories, Vol. III/1, Handbuch der Physik, Edited by S. Flügge. Berlin-Göttingen-Heidelberg: Springer 1960.Google Scholar
  2. [2]
    Cosserat, E. & Cosserat, F.: Théorie des Corps Déformables. Paris: Hermann 1909.Google Scholar
  3. [3]
    Ericksen, J. L.: Anisotropic fluids. Arch. Rational Mech. Anal. 4, 231–237 (1960).Google Scholar
  4. [4]
    Ericksen, J. L.: Conservation laws for liquid crystals. Trans. Soc. of Rheology 5, 23–24 (1961).Google Scholar
  5. [5]
    Ericksen, J. L.: Transversely isotropic fluids. Kolloid-Z. 173, 117–122 (1960).Google Scholar
  6. [6]
    Ericksen, J. L.: Theory of anisotropic fluids. Trans. Soc. of Rheology 4, 29–39 (1960).Google Scholar
  7. [7]
    Weyl, H.: The Classical Groups, Their Invariants and Representations. Princeton University Press 1946.Google Scholar
  8. [8]
    Whitney, H.: Geometric Integration Theory. Princeton University Press 1957.Google Scholar
  9. [9]
    Weyl, H.: The Theory of Groups and Quantum Mechanics. New York: Dover 1932.Google Scholar
  10. [10]
    Schouten, J. A.: Der Ricci-Kalkül. Berlin: Springer 1924.Google Scholar
  11. [11]
    Littlewood, D. E.: The Theory of Group Characters and Matrix Representations of Groups. Oxford: The Clarendon Press 1950.Google Scholar
  12. [12]
    Wade, T. L.: Tensor algebra and Young's symmetry operators. Amer. J. Math. 63, 645–657 (1941).Google Scholar
  13. [13]
    Toupin, R. A.: The elastic dielectric. J. Ratl. Mech. and Anal. 5, 849–916 (1956).Google Scholar
  14. [14]
    Truesdell, C.: General and exact theory of waves in finite elastic strain. Arch. Rational Mech. Anal. 8, 263–296 (1961).Google Scholar
  15. [15]
    Silin, V. P.: Contribution to the theory of absorption of ultrasound in metals. JETP (U.S.S.R.) 38, 977–983 (1960); 11, 703 of the Amer. Phys. Soc. translations.Google Scholar

Copyright information

© Springer-Verlag 1962

Authors and Affiliations

  • R. A. Toupin
    • 1
  1. 1.Mathematical Sciences DivisionThomas J. Watson Research CenterYorktown Heights

Personalised recommendations