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A general theory of an elastic-plastic continuum

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References

  • Coleman, B. D., & W. Noll, Arch. Rational Mech. Anal. 13, 167 (1963).

    MATH  Google Scholar 

  • Coleman, B. D., Arch. Rational Mech. Anal. 17, 1 (1964).

    Google Scholar 

  • Drucker, D. C., Proc. 1st. U.S. Nat'l. Congr. Appl. Mech. 487 (1951).

  • Green, A. E., & J. E. Adkins, Large elastic deformations and non-linear continuum mechanics. Oxford: Clarendon Press 1960.

    Google Scholar 

  • Green, A. E., & R. S. Rivlin, Z. Angew. Math. Phys. 15, 290 (1964a).

    Google Scholar 

  • Green, A. E., & R. S. Rivlin, Arch. Rational Mech. Anal. 17, 113 (1964b).

    Google Scholar 

  • Hill, R., The mathematical theory of plasticity. Oxford: Clarendon Press 1950.

    Google Scholar 

  • Hill, R., J. Mech. and Phys. Solids 6, 236 (1958).

    Google Scholar 

  • Koiter, W. T., Progress in Solid Mechanics 1 (Edited by I. N. Sneddon & R. Hill), Ch. 4. North-Holland Publ. Co. 1960.

  • Melan, E., Ing. Arch. 9, 116 (1938).

    Google Scholar 

  • Mises, R. v., Göttinger Nachrichten, math-phys. 1913, 582 (1913).

    Google Scholar 

  • Naghdi, P. M., Plasticity, Proc. 2nd. Symp. Naval Structural Mechanics, p. 121. Pergamon Press 1960.

  • Naghdi, P. M., & W. L. Wainwright, Quart. Appl. Math. 19, 95 (1961).

    Google Scholar 

  • Pipkin, A. C., & A. S. Wineman, Arch. Rational Mech. Anal. 12, 420 (1963).

    Google Scholar 

  • Prager, W., J. Appl. Phys. 20, 235 (1949).

    Google Scholar 

  • Prager, W., Proc. K. Nederl. Akad. Wetensch. 61, 176 (1958).

    Google Scholar 

  • Prager, W., & P. G. Hodge jr., Theory of perfectly plastic solids. John Wiley and Sons, 1951.

  • Sokolovskii, V. V., Theorie der Plastizität (translation of the 1950 Russian edition). Berlin: VEb Verlag Technik 1955.

    Google Scholar 

  • Wineman, A. S., & A. C. Pipkin, Arch. Rational Mech. Anal. 17, 184 (1964).

    Google Scholar 

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Authors and Affiliations

  1. The University Newcastle upon Tyne, Newcastle upon Tyne, UK

    A. E. Green & P. M. Naghdi

  2. University of California, Berkeley

    A. E. Green & P. M. Naghdi

Authors
  1. A. E. Green
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  2. P. M. Naghdi
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Green, A.E., Naghdi, P.M. A general theory of an elastic-plastic continuum. Arch. Rational Mech. Anal. 18, 251–281 (1965). https://doi.org/10.1007/BF00251666

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