Journal of Mining Science

, Volume 40, Issue 6, pp 588–596 | Cite as

Prelimiting Plastic Deformation of Loose Medium in a Rotary Drum

  • O. P. Bushmanova
  • O. A. Revuzhenko


A problem on behavior of loose medium in a rotary drum is solved with taking into account the dilatancy and internal friction of material, as well as the elastic and prelimiting plastic strains. It is shown that when the drum rotation angle increases, material may be deformed in two modes. Under the first mode, prelimiting state is reached at the material and drum interface, and the material displaces as a rigid whole. Under the second mode, prelimiting state is reached near the free surface of the material, and a flow sets on in the upper layer, which leads to mixing. The fields of displacements and stresses are constructed, and the regions of active loading and elastic unload are determined.

Loose material dilatancy internal friction plastic strain 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Yu. I. Makarov, Loose Material Mixing Equipment [in Russian], Mashinostroenie, Moscow (1973).Google Scholar
  2. 2.
    A. N. Nazarov, “Foundations of mathematical modeling of friction and involvement during movement of avalanche-type flows,” Vestn. MGU, No. 4 (1995).Google Scholar
  3. 3.
    A. L. Stepanov, S. F. Shinkorenko, A. V. Frolov, and P. A. Kochetkov, “Selective grinding of biocomponent mineral mixers,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (1991).Google Scholar
  4. 4.
    V. F. Monastyrskii and S. V. Solov’ev, “Optimization of operating conditions for self-grinding mill in dressing diamond-bearing raw material,” Gorn. Zh., No. 12 (2003).Google Scholar
  5. 5.
    V. N. Nikolaevskii, “Mechanical properties of soils and plasticity theory,” in: Science and Engineering Summary. Series: Mechanics of Deformable Solids [in Russian], 6, Nauka, Moscow (1972).Google Scholar
  6. 6.
    S. V. Andreev, V. V. Zverevich, and V. A. Perov, Mineral Crushing, Grinding, and Screening [in Russian], Nedra, Moscow (1966).Google Scholar
  7. 7.
    A. Ph. Revuzhenko, Loose Medium Mechanics [in Russian], ZAO IPP Ofset, Novosibirsk (2003).Google Scholar
  8. 8.
    O. P. Bushmanova and A. Ph. Revuzhenko, “Janssen’s problem,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (1981).Google Scholar
  9. 9.
    K. Washizu, Variational Methods in Elasticity and Plasticity, Pergamon Press, Oxford, New York (1982).Google Scholar
  10. 10.
    D. Norrie and G. de Vriez, An Introduction to Finite Element Analysis [Russian translation], Mir, Moscow (1981).Google Scholar
  11. 11.
    O. P. Bushmanova, “Application of the finite-element method for modeling lines of discontinuity in the elastoplastic problems,” in: Numerical Methods for Problems of Elasticity and Plasticity Theory [in Russian], IGD SO RAN, Novosibirsk (1999).Google Scholar
  12. 12.
    O. P. Bushmanova, “Numerical modeling of localization of shears,” Vych. Tekhn., 6, Part II (2001).Google Scholar
  13. 13.
    S. E. Khaikin, Physical Mechanics [in Russian], OGIZ, Moscow — Leningrad (1947).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  • O. P. Bushmanova
    • 1
  • O. A. Revuzhenko
    • 2
  1. 1.Altai State UniversityBarnaulRussia
  2. 2.Institute of Mining, Siberian BranchRussian Academy of SciencesNovosibirskRussia

Personalised recommendations