Soviet Mining

, Volume 16, Issue 4, pp 319–323 | Cite as

Fracture of a weightless half plane or half space by a rigid punch with an exponential condition of limiting equilibrium

  • A. K. Chernikov
Rock Mechanics and Rock Pressure


  1. 1.

    For a medium with an exponential condition of limiting equilibrium, solutions are obtained to the problems of the fracture of a half plane or half space (axisymmetric problem) by a rigid punch (ideally smooth or rough). These solutions can also be used to estimate the supporting capacity of soils or roofs of workings when broken by a pillar, rectangular in plan, with real roughness.

  2. 2.

    Replacement of the exponential condition of limiting equilibrium by the condition of Tresk or Mises in the limiting equilibrium calculations can lead to distortions in the results of the calculations.



Half Space Half Plane Axisymmetric Problem Supporting Capacity Rigid Punch 
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Literature Cited

  1. 1.
    N. M. Proskuryakov, R. S. Permyakov, and A. K. Chernikov, The Physicomechanical Properties of Salt Rocks [in Russian], Leningrad (1973).Google Scholar
  2. 2.
    V. G. Berezantsev, Design of Bases of Structures [in Russian], Leningrad (1970).Google Scholar
  3. 3.
    B. D. Annin, Two-Dimensional Elastoplastic Problems [in Russian], Novosibirsk (1968).Google Scholar
  4. 4.
    J. Biarez, Contribution à l’étude des proprietés mécaniques des sols et des materiaux pulvérulents: Thèses de Doctorat es Sciences, Grenoble (1962).Google Scholar
  5. 5.
    V. V. Sokolovskii, Theory of Plasticity [in Russian], 2nd ed., Moscow-Leningrad (1950); 3rd ed., Moscow (1969).Google Scholar
  6. 6.
    A. Yu. Ishlinskii, “The axisymmetric problem of plasticity and the Brinell probe,” Prikl. Matm. Mekh.,8, No. 3 (1944).Google Scholar
  7. 7.
    R. Schild, “On plastic flow in conditions of axial symmetry,” in: Symposium of Translations “Mekhanika” [in russian], No. 1 (1957).Google Scholar
  8. 8.
    J. Biarez, Y. Le Gall, R. Nègre, and P. Stutz, Calcul de l’équilibre limité des fondations peu profondes de revolution, C. R. Acad. Sci.,265, Serie A, Paris (1967).Google Scholar
  9. 9.
    A. S. Stroganov, “Supporting capacity of clay bases in destabilized state under shallow foundations,” Arch. Inz. Lad,22, No. 3 (1976).Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • A. K. Chernikov

There are no affiliations available

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