Soviet Mining

, Volume 14, Issue 3, pp 255–263 | Cite as

Brittle-medium model in rock mechanics

  • V. S. Nikiforovskii
Rock Breaking


Brittle Fracture Slip Surface Dynamic Fracture Strength Criterion Underground Blasting 
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Literature Cited

  1. 1.
    S. S. Grigoryan, “On certain work on fracture of brittle bodies in dynamic conditions”, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 1 (1977).Google Scholar
  2. 2.
    L. I. Slepyan, “On models in the theory of waves of brittle fracture”, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 1 (1977).Google Scholar
  3. 3.
    S. L. Sobolev, “Some aspects of the theory of propagation of vibrations”, in: Differential and Integral Equations of Mathematical Physics [in Russian], ONTI, Moscow-Leningrad (1937).Google Scholar
  4. 4.
    N. V. Zvolinskii, “Multiplereflections of elastic waves in a stratum”, Tr. Geofiz. Inst., No. 22 (149) (1954); “Sound emission due to underground blasting”, Prikl. Mat. Mekh., No. 4 (1960).Google Scholar
  5. 5.
    G. I. Petrashen’, “Method of constructing solutions to problems on the propagation of seismic waves in isotropic media containing plane-parallel layers”, in: Aspects of the Dynamic Theory of Propagation of Seismic Waves [in Russian], Symposium No. I, Gostekhizdat, Moscow (1957).Google Scholar
  6. 6.
    L. I. Slepyan, Nonstationary Elastic Waves [in Russian], Sudostroenie, Leningrad (1972).Google Scholar
  7. 7.
    K. I. Ogurtsov and G. I. Petrashen’, “Dynamic problems involving an elastic half-space in the case of axial symmetry,” Uch. Zap. Leningr. Gos. Univ. No. 24, No. 149 (1951).Google Scholar
  8. 8.
    K. I. Ogurtsov, “Stress waves in an elastic plate”, Prikl. Mat. Mekh.,24, No. 3 (1960).Google Scholar
  9. 9.
    N. I. Onis’ko and E. I. Shemyakin, “Movement of the free surface of homogeneous ground during underground blasting”, Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1961).Google Scholar
  10. 10.
    V. S. Nikiforoskii, “Some aspects of spallation fracture in brittle bodies with an application to problems in rock mechanics”, Author’s Abstract of Doctoral Dissertation, IGD Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1974).Google Scholar
  11. 11.
    G. L. Broud and R. L. Byurk, “Crater formation by a megaton surface blast”, in: Action of Nuclear Blasting [Russian translation], Mir, Moscow (1971).Google Scholar
  12. 12.
    J. Cherry, “Machine calculations on craters formed by blasting”, Mekhanika, No. 6, (106) (1967).Google Scholar
  13. 13.
    A. S. Alekseev and B. G. Mikhailenko, “On Lamb’s problem for a nonuniform half-space,” Dokl. Akad. Nauk SSSR,214, No. 1 (1974).Google Scholar
  14. 14.
    F. S. Kirchhoff, “Modulation of a brittle crack by elastic waves”, in: Physics of Transient Processes [Russian translation], Vol. 2, Mir, Moscow (1971).Google Scholar
  15. 15.
    S. N. Zhurkov and É. E. Tomashevskii, “Time dependence of strength under various loading procedures”, in: Some Aspects of the Strength of Solids [in Russian], Moscow-Leningrad (1959).Google Scholar
  16. 16.
    V. R. Regel’, A. I. Slutsker, and É. E. Tomashevskii, The Kinetic Nature of the Strength of Solids [in Russian], Nauka, Moscow (1974).Google Scholar
  17. 17.
    M. V. Kurlenya, N. G. Kyu, and V. M. Sboev, “Investigation of mechanical phenomena in rock and ore samples from the Talnakh-Oktyabr’skii Deposit”, Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (1978).Google Scholar
  18. 18.
    V. A. Stepanov, I. E. Kurov, and V. V. Shpeizman, “Lifetimes of metals under torsion”, Fiz. Tverd. Tela,6, No. 9 (1964).Google Scholar
  19. 19.
    V. S. Nikiforovskii, “On the kinetic character of brittle fracture of solids”, Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1976).Google Scholar
  20. 20.
    P. B. Attwell, “Dynamic fracturing of rocks,” Colliery Engineering,40, 376 (1963).Google Scholar
  21. 21.
    A. N. Khanukaev, V. P. Belyatskii, A. A. Ionin, and A. D. Ryskunov, “Breaking strengths of rocks under explosive loading”, Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (1976).Google Scholar
  22. 22.
    G. I. Yagodkin, M. P. Mokhnachev, and M. F. Kuntysh, Strength and Deformability of Rocks during Loading [in Russian], Nauka, Moscow (1971).Google Scholar
  23. 23.
    V. S. Kuz’min, “Research on fracture with models made of optically sensitive polymers”, in: Modeling Problems in Dynamics, Thermoelasticity, and Statics by the Optical Polarization Method [in Russian], Moscow (1972).Google Scholar
  24. 24.
    V. M. Finkel’, The Physics of Fracture [in Russian], Metallurgiya, Moscow (1970).Google Scholar
  25. 25.
    V. V. Panasyuk, Limiting Equilibrium of Brittle Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1968).Google Scholar
  26. 26.
    G. P. Cherepanov, The Mechanics of Brittle Fracture [in Russian], Nauka, Moscow (1974).Google Scholar
  27. 27.
    V. Z. Parton and E. M. Morozov, The Mechanics of Elasticoplastic Failure [in Russian], Nauka, Moscow (1974).Google Scholar
  28. 28.
    G. Liebowicz (editor), Fracture [Russian translation], Vols. 1–7, Mir, Metallurgiya, Moscow (1973–1976).Google Scholar
  29. 29.
    B. V. Kostrov, “Crack propagation at variable velocity”, Prikl. Mat. Mekh.,38, No. 5 (1974).Google Scholar
  30. 30.
    L. I. Slepyan, “An approximate model of the dynamics of a crack”, in: Dynamics of a Continuous Medium, Nos. 19–20, IGD Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1974).Google Scholar
  31. 31.
    L. I. Slepyan and L. V. Troyankina, The Theory of Cracks [in Russian], Sudostroenie, Leningrad (1976).Google Scholar
  32. 32.
    G. S. Pisarenko and A. A. Lebedev, Resistance of Materials to Deformation and Fracture in a Complex State of Stress [in Russian], Naukova Dumka, Kiev (1969).Google Scholar
  33. 33.
    S. A. Khristianovich and E. I. Shemyakin, “On the theory of ideal plasticity”, Mekh. Tverd. Tela, No. 4 (1967); “On plane deformation of a plastic material under complex stress”, Mekh. Tverd. Tela, No. 5 (1969).Google Scholar
  34. 34.
    N. V. Mel’nikov, V. V. Rzhevskii, and M. M. Protod’yakonova, (editors), Handbook (Survey) of Physical Properties of Rocks [in Russian], Nedra, Moscow (1975).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

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  • V. S. Nikiforovskii

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