Archive for Rational Mechanics and Analysis

, Volume 18, Issue 4, pp 251–281 | Cite as

A general theory of an elastic-plastic continuum

  • A. E. Green
  • P. M. Naghdi


Neural Network Complex System General Theory Nonlinear Dynamics Electromagnetism 
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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  1. Coleman, B. D., & W. Noll, Arch. Rational Mech. Anal. 13, 167 (1963).zbMATHGoogle Scholar
  2. Coleman, B. D., Arch. Rational Mech. Anal. 17, 1 (1964).Google Scholar
  3. Drucker, D. C., Proc. 1st. U.S. Nat'l. Congr. Appl. Mech. 487 (1951).Google Scholar
  4. Green, A. E., & J. E. Adkins, Large elastic deformations and non-linear continuum mechanics. Oxford: Clarendon Press 1960.Google Scholar
  5. Green, A. E., & R. S. Rivlin, Z. Angew. Math. Phys. 15, 290 (1964a).Google Scholar
  6. Green, A. E., & R. S. Rivlin, Arch. Rational Mech. Anal. 17, 113 (1964b).Google Scholar
  7. Hill, R., The mathematical theory of plasticity. Oxford: Clarendon Press 1950.Google Scholar
  8. Hill, R., J. Mech. and Phys. Solids 6, 236 (1958).Google Scholar
  9. Koiter, W. T., Progress in Solid Mechanics 1 (Edited by I. N. Sneddon & R. Hill), Ch. 4. North-Holland Publ. Co. 1960.Google Scholar
  10. Melan, E., Ing. Arch. 9, 116 (1938).Google Scholar
  11. Mises, R. v., Göttinger Nachrichten, math-phys. 1913, 582 (1913).Google Scholar
  12. Naghdi, P. M., Plasticity, Proc. 2nd. Symp. Naval Structural Mechanics, p. 121. Pergamon Press 1960.Google Scholar
  13. Naghdi, P. M., & W. L. Wainwright, Quart. Appl. Math. 19, 95 (1961).Google Scholar
  14. Pipkin, A. C., & A. S. Wineman, Arch. Rational Mech. Anal. 12, 420 (1963).Google Scholar
  15. Prager, W., J. Appl. Phys. 20, 235 (1949).Google Scholar
  16. Prager, W., Proc. K. Nederl. Akad. Wetensch. 61, 176 (1958).Google Scholar
  17. Prager, W., & P. G. Hodge jr., Theory of perfectly plastic solids. John Wiley and Sons, 1951.Google Scholar
  18. Sokolovskii, V. V., Theorie der Plastizität (translation of the 1950 Russian edition). Berlin: VEb Verlag Technik 1955.Google Scholar
  19. Wineman, A. S., & A. C. Pipkin, Arch. Rational Mech. Anal. 17, 184 (1964).Google Scholar

Copyright information

© Springer-Verlag 1965

Authors and Affiliations

  • A. E. Green
    • 1
    • 2
  • P. M. Naghdi
    • 1
    • 2
  1. 1.The University Newcastle upon TyneNewcastle upon TyneUK
  2. 2.University of CaliforniaBerkeley

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