Large deflections of rigid-plastic plates

  • A. Sawczuk
Conference paper


Transversally loaded plastic plates can support loads exceeding the bending collapse pressure. This is due to the fact that the intrinsic geometry of a structure changes in the process of plastic flow. With any transient shape of the deformed structure a collapse load can be associated. The sequence of such loads yields a load-deflection relationship differing considerably from that of bending collapse. In a study of post yield behaviour of perfectly plastic plates, therefore, deflections can not be considered small in comparison with the plate thickness.


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  1. [1]
    Onat, E. T., and R. T. Haythorthwaite: The load carrying capacity of circular plate at large deflection. J. Appl. Mech. 23 (1956) 49–55.MATHGoogle Scholar
  2. [2]
    Lepik, Yu. P.: Plastic flow of a flexible plate made of a rigid-plastic material (in Russian). Izvest. AN SSSR, Otdel. Tekh. Nauk, Mekh. Mash. No. 2, 1960, 78-87.Google Scholar
  3. [3]
    Wood, R. H.: Plastic and Elastic Design of Slabs and Plates. London: Thames & Hudson 1961.Google Scholar
  4. [4]
    Rzhanitsyn, A. R.: The design of plates and shells by the kinematical method of limit equilibrium. IX. Congr. Int. Mec. Appl. Bruxelles, 1956, Actes, 6, 331-343.Google Scholar
  5. [5]
    Hodge, P. G. jr.: Limit Analysis of Rotationally Symmetric Plates and Shells. Prentice Hall, Englewood Cliffs, N. J. 1963.Google Scholar
  6. [6]
    Sawczuk, A.: On initiation of the membrane action in rigid-plastic plates. J. Méc. 3 (1964) 15–23.MathSciNetGoogle Scholar
  7. [7]
    Sawczuk, A., and J. Rychlewski: On yield surfaces for plastic shells. Arch. Mech. Stos. 12 (1960) 29–53.MathSciNetGoogle Scholar
  8. [8]
    Sawczuk, A., und Th. Jaeger: Grenztragfä-higkeits-Theorie der Platten. Berlin/Göttingen/ Heidelberg: Springer 1963.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1966

Authors and Affiliations

  • A. Sawczuk
    • 1
  1. 1.Polish Academy of SciencesWarsawPoland

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