Determination of boundary conditions in rocks under compression

Geomechanics
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Abstract

Under consideration is a process for estimation of stress-strain state at the contact of a piecewise-homogeneous rock block and stiff plates as well as at the contact of a pillar and host rocks under compression. The numerical modeling data are discussed.

Keywords

Stresses displacements equations pillar rock block stratification contact mathematical modeling 
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References

  1. 1.
    G. I. Barenblatt and S. A. Khristianovich, “On roof failure in mine workings,” Izv. AN SSSR, OTN, No. 11 (1955).Google Scholar
  2. 2.
    S. G. Mikhlin, “On rock stresses above coal seam,” Izv. AN SSSR, OTN, No. 7 (1942).Google Scholar
  3. 3.
    N. I. Muskhelishvili, Some Fundamental Problems of the Mathematical Elasticity Theory [in Russian], Nauka, Moscow (1966).Google Scholar
  4. 4.
    V. M. Seryakov, “Implementation of the calculation method for stress state in rock mass with backfill,” Journal of Mining Science, No. 5 (2008).Google Scholar
  5. 5.
    V. E. Mirenkov, “Contact problems in rock mechanics,” Journal of Mining Science, No. 4 (2007).Google Scholar
  6. 6.
    M. Bonnet, “Constantinescu Inverse problems in elasticity,” Inverse Probl., No. 21 (2005).Google Scholar
  7. 7.
    A. O. Vatulyan, Inverse Problems in Mechanics of a Deformable Solid [in Russian], Fizmat-lit, Moscow (2007).Google Scholar
  8. 8.
    A. A. Krasnovskii and V. E. Mirenkov, “Analysis of deformation of the compound rock blocks with cracks,” Journal of Mining Science, No. 2 (2007).Google Scholar
  9. 9.
    V. E. Mirenkov, “On probable failure of undercut rock mass,” Journal of Mining Science, No. 2 (2009).Google Scholar
  10. 9.
    M. V. Kurlenya and V. N. Oparin, “Problems of non-linear geomechanics,” Journal of Mining Science, No. 3 (1999).Google Scholar
  11. 10.
    V. N. Oparin, A. P. Tapsiev, M. A. Rozenbaum, et al., Zonal Disintegration of Rocks and Stability of Underground Mine Workings [in Russian], Izd. SO RAN, Novosibirsk (2008).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Institute of Mining, Siberian BranchRussian Academy of SciencesNovosibirskRussia

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