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Point explosion in an ideally brittle body

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The formulation of the problem of a point explosion in an ideally brittle body is examined; the dependence of the characteristic dimension of the fracture zone on the intensity of the point source is established by dimensional analysis [1]. Certain physico-technical problems whose mathematical description can be reduced to the problem of a point explosion are briefly considered.

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References

  1. L. I. Sedov, Similarity and Dimensional Analysis in Mechanics [in Russian], Gostekhizdat, Moscow, 1957.

    Google Scholar 

  2. S. L. Sobolev, “Some problems of the theory of propagation of vibrations,” in: Differential and Integral Equations of Mechanics and Physics, P. Frank and R. Mises, eds. [Russian translation], ONTI, Moscow-Leningrad, 1937.

    Google Scholar 

  3. G. P. Cherepanov, “Cracks in solids,” Int. J. Solids and Structures, vol. 4, 1968.

  4. E. F. Afanas'ev and G. P. Cherepanov, “Self-similar dynamic problems of the theory of elasticity for a crack,” Proc. Conf. on the Dynamic Problems of the Theory of Elasticity and Plasticity [in Russian], Kishinev, 1968.

  5. P. Chadwick, A. D. Cox, and H. G. Hopkins, Mechanics of Deep Underground Explosions [Russian translation], Mir, Moscow, 1966.

    Google Scholar 

  6. S. S. Grigoryan, “Fundamentals of soil dynamics,” PMM, vol. 24, no. 6, 1960.

  7. F. F. Aptikaev, “Parameters of the seismic vibrations excited by an explosion: Experimental seismics,” Tr. In-ta fiziki Zemli AN SSSR, no. 32 (199), 1964.

  8. G. P. Cherepanov, “Effect of impulses on the development of initial cracks,” PMTF, no. 1, 1963.

  9. G. P. Cherepanov and V. B. Sokolinskii, “Impact fracture of brittle bodies,” Proc. Conf. on Contact Problems [in Russian], Moscow, 1969.

  10. B. I. Nifontov, D. D. Protopopov, I. E. Sitnikov, and A. V. Kulikov, Underground Nuclear Explosions [in Russian], Atomizdat, Moscow, 1965.

    Google Scholar 

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Authors and Affiliations

  1. Moscow

    G. P. Cherepanov

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  1. G. P. Cherepanov
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In conclusion, the author thanks V. N. Mosinets for discussing his work.

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Cherepanov, G.P. Point explosion in an ideally brittle body. J Appl Mech Tech Phys 10, 669–672 (1969). https://doi.org/10.1007/BF00916233

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  • DOI: https://doi.org/10.1007/BF00916233

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