Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Statistics of the fragments forming with the destruction of solids by explosion

Abstract

The article sets forth one of the possible approaches to the construction of a size distribution function of the fragments. The Rozin-Rammler law for the distribution is obtained from general theoretical probability consideration. The theoretically obtained distribution function was verified in a large number of experiments. The experimental data are in good agreement with the theoretical deductions.

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    D. D. Ivlev, “The theory of quasi-brittle failure,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 6 (1967).

  2. 2.

    A. A. Wells and D. Post, “The dynamics of stress distribution surrounding a running crack. A photoelastic analysis,” Proc. Soc. Experimental Stress Analysis,16, No. 1 (1958).

  3. 3.

    V. M. Kuznetsov, “Unsteady-state propagation of a system of cracks in a brittle metal,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 2 (1968).

  4. 4.

    V. M. Kuznetsov, P. A. Martynyuk, and A. I. Potylitsyn, “Experimental investigation of the development of an isolated crack,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 4 (1968).

  5. 5.

    A. N. Kolmogorov, “A logarithmic-normal law for particle-size distribution with pulverization,” Dokl. Akad. Nauk SSSR,31, No. 2 (1941).

  6. 6.

    J. J. Gilvarry, “Fracture of brittle solids,” J. Appl. Phys.,32, No. 3 (1961).

  7. 7.

    L. I. Baron and G. N. Sirotyuk, “Verification of the applicability of the Rozin-Rammler equation for calculation of the mean diameter of a fragment with the explosive breaking up of rock,” in: Explosive Science, No. 62/19 [in Russian], Izd. Nedra, Moscow (1967).

  8. 8.

    V. L. Baron, “Investigation of the pulverization of stone blocks by the action of an explosion in England,” in: Explosive Science, No. 50/7 [inRussian], Izd. Nedra, Moscow (1962).

Download references

Author information

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 87–100, March–April, 1971.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Koshelev, É.A., Kuznetsov, V.M., Sofronov, S.T. et al. Statistics of the fragments forming with the destruction of solids by explosion. J Appl Mech Tech Phys 12, 244–256 (1971). https://doi.org/10.1007/BF00850697

Download citation

Keywords

  • Experimental Data
  • Mathematical Modeling
  • Distribution Function
  • Mechanical Engineer
  • Industrial Mathematic