Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Motion of an explosive-induced plane shock wave

Author: W. Fickett
Journal: Quart. Appl. Math. 32 (1974), 71-84
DOI: https://doi.org/10.1090/qam/99688
MathSciNet review: QAM99688
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Abstract | References | Additional Information

Abstract: A plane, unsupported, Chapman-Jouguet detonation in a condensed explosive drives a decelerating shock into a semi-infinite inert of lower shock impedance. A previously reported exact solution for a portion of this one-dimensional time-dependent problem is extended to the entire flow field, and some numerical results are given. The solution has the form of a small set of first-order ordinary differential equations for the shock, and a similar set for each particle path.

References [Enhancements On Off] (What's this?)

  • [1] C. M. Ablow, Wave refraction at an interface, Quart. Appl. Math. 18 (1960/1961), 15–29. MR 0135022, https://doi.org/10.1090/S0033-569X-1960-0135022-3
  • [2] W. E. Drummond, Explosive induced shock waves: Part 1, plane shock waves, J. Appl. Phys. 28, 1437-41 (1957)
  • [3] V. N. Kondratev, I. V. Nemchinov, and B. D. Khristoforov, O zatukhanii v tverdom tele ploskikh udarnykh voln, vyzvannykh vzryvom (On the attenuation in a solid of a plane shock wave generated by explosive), Zh. Prikl. Mekh. Tekh. Fiz. 4, 61-65 (1968)
  • [4] R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Interscience Publishers, Inc., New York, N. Y., 1948. MR 0029615
  • [5] J. M. Walsh, Shock attenuation for an arbitrary impluse, General Atomic Division of General Dynamics Corp. Report GAMD-2341, June 19, 1961
  • [6] W. E. Deal, Measurement of the reflected shock Hugoniot and isentrope for explosive reaction products, Phys. Fluids 1, 523-27 (1958)
  • [7] W. C. Davis and D. Venable, Pressure measurements for composition B-3, in Fifth symposium on detonation, ACR-184, U.S. Naval Ordnance Laboratory, White Oak, Maryland, pp. 13-21 (1970)
  • [8] R. Kinslow, ed., High-velocity impact phenomena, Academic Press, New York, 1970, p. 556
  • [9] J. W. Enig, A complete E, P, V, T, S thermodynamic description of metals based on the P, u mirror-image approximation, J. Appl. Phys. 34, 746-54 (1963)

Additional Information

DOI: https://doi.org/10.1090/qam/99688
Article copyright: © Copyright 1974 American Mathematical Society

American Mathematical Society