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Theory of plates and shells based on the concept of Cosserat surfaces

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Literature Cited

  1. K. Z. Galimov, “Nonlinear theory of thin shells of the Timoshenko kind,” Issled. Teor. Plastin Obolochek, 31–46 (1978).

  2. G. N. Savin and Yu. N. Nemish, “Studies on stress concentration in the moment theory of elasticity (survey),” Prikl. Mekh.,4, No. 12, 1–13 (1968).

    Google Scholar 

  3. P. Duhem, Ann. Ec. Norm.,10, 187 (1893).

    Google Scholar 

  4. E. Cosserat and F. Cosserat, Theory of Deformable Bodies, Herman, Paris (1909).

    Google Scholar 

  5. J. L. Ericksen and C. Truesdel, “Exact theory of stress and strain in rods and shells,” Arch. Rational Mech. Anal.,1, 295–323 (1958).

    Google Scholar 

  6. J. L. Ericksen, “Conservation laws for liquid crystals,” Trans. Soc. Rheol.,5, 23–34 (1961).

    Google Scholar 

  7. P. M. Naghdi, “Theory of shells and plates,” in: Flugge's Handbook of Physics,6a/2, 425–640 (1972).

  8. A. E. Green, P. M. Naghdi, and W. L. Wainwright, “A general theory of a Cosserat surface,” Arch. Rational Mech. Anal.,20, No. 4, 287–308 (1965).

    Google Scholar 

  9. A. E. Green, P. M. Naghdi, and P. S. Rivlin, “Directors and multipolar displacements in continuum mechanics,” Int. J. Eng. Sci.,2, No. 6, 611–619 (1965).

    Google Scholar 

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Authors
  1. Ya. F. Kayuk
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  2. A. P. Zhukovskii
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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 17, No. 10, pp. 80–85, October, 1981.

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Kayuk, Y.F., Zhukovskii, A.P. Theory of plates and shells based on the concept of Cosserat surfaces. Soviet Applied Mechanics 17, 922–926 (1981). https://doi.org/10.1007/BF00885571

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  • DOI: https://doi.org/10.1007/BF00885571

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