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Kinetic model of the dynamic deformation and failure of rock. II. Mathematical description of failure

  • Rock Failure
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Literature Cited

  1. A. D. Borulev, V. S. Krutsan, V. K. Makeev, et al., “Kinetic model of the dynamic deformation and failure of rock. I. Physical construction,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (1992).

  2. A. V. Talonov and B. M. Tulinov, “Deformation of brittle materials taking account of sublimiting failure,” Prikl. Mekh. Tekh. Fiz., No. 3 (1989).

  3. L. I. Slepyan, Crack Mechanics [in Russian], Sudostroenie, Leningrad (1981).

    Google Scholar 

  4. A. S. Eremenko, S. A. Novikov, and A. P. Pogorelov, “Propagation and interaction of fast cracks in organic glass,” Prikl. Mekh. Tekh. Fiz., No. 4 (1979).

  5. M. P. Savruk, Two-Dimensional Elasticity Problems for Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  6. R. L. Salganik, “Mechanics of bodies with many cracks,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4 (1973).

  7. A. D. Borulev, V. S. Krutsan, A. P. Sinitsyn, et al., “Model of the failure of rock around a mine working under the action of seismic waves,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 1 (1988).

  8. W. Moss and J. Gupta, “A constitutive model describing dilatancy and cracking in brittle rocks,” J. Geophys. Res., B, No. 4 (1982).

  9. P. V. Ershov and D. D. Ivlev, “Conditions of quasibrittle failure,” Prikl. Mat. Mekh.,31, No. 3 (1967).

    Google Scholar 

  10. A. S. Vavkin and R. L. Salganik, “Effective elastic characteristics of bodies with isolated cracks, planes, and rigid inhomogeneities,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 2 (1978).

  11. I. I. Kandaurov, Mechanics of Granular Media and Its Application in Construction Work [in Russian], Stroiizdat, Moscow (1966).

    Google Scholar 

  12. Yu. V. Sushkov, N. A. Yakovlev, and A. D. Borulev, “Dispersity of rock comminution in the explosive failure zone around a mine working,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 4 (1985).

  13. A. D. Borulev, V. K. Makeev, and V. S. Krutsan, “Modeling the dispersity of comminution in the explosive failure of rock around a mine working,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 4 (1986).

  14. V. V. Adushkin and A. A. Spivak, “Deformation of a block medium in explosion,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 2 (1990).

  15. N. F. Morozov, Mathematical Problems of Crack Theory [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  16. V. E. Panin, V. A. Likhachev, and Yu. V. Grinyaev, Structural Levels of Deformation of Solids [in Russian], Nauka, Novosibirsk (1985).

    Google Scholar 

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Authors
  1. A. D. Borulev
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  2. V. S. Krutsan
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  3. V. K. Makeev
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  4. V. V. Podymov
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Additional information

V. V. Kubyshev Academy, Moscow. Translated from Fiziko-Technicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 4, pp. 30–37, July–August, 1992.

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Borulev, A.D., Krutsan, V.S., Makeev, V.K. et al. Kinetic model of the dynamic deformation and failure of rock. II. Mathematical description of failure. J Min Sci 28, 331–338 (1993). https://doi.org/10.1007/BF00735099

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  • DOI: https://doi.org/10.1007/BF00735099

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