Abstract
Measures of the output of explosives in most sources are based upon the strength of the shock wave or the chemical energy content of the explosive. These are most commonly the detonation wave velocityDthe detonation pressureP CJor the heat of detonation ΔH dwhich is derived from detonation calorimetry experiments or thermochemical equilibrium computations. These quantities in themselves provide a correct understanding of the relative output of one explosive in comparison to another (although density is also a factor), but they do not provide a direct measure of how fast an explosive can drive metal or other materials, which is the subject of interest in many applications and safety considerations. In this chapter we shall present a measure of explosive output which does permit the estimation of the velocity or impulse imparted to drive materials.
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References
Aziz, A.K., Hurwitz, H., and Sternberg, H.M. (1961). Energy transfer to a rigid piston under detonation loading.Phys. Fluids4, 380–384.
Barut, A.O. and Bartlett, A.A. (1978). Introductory note.Amer. J. Phys. 46, 319.
Baum, F.A., Stanyukovich, K., and Shekhter, B.I. (1959).Physics of an Explosionpp. 505–507. Moscow (English translation from Federal Clearinghouse AD 400151).
Benham, R.A. (1979). Terminal velocity and rotation rate of a flyer plate propelled by a tube-confined explosive charge.Shock and Vibration Bull. 49, 193–201.
Bloom, G., Lee, R., and Von Holle, W. (1989). Thin pulse shock initiation characterization of extrusion-cast explosives. Third Intl. Symp. on Behavior of Media Under High Dynamic PressureLa Grande Motte, France, June.
Butz, D.J., Backofen, J.E. Jr., and Petrousky, J.A. (1982). Fragment terminal velocities from low metal to explosive mass ratio symmetric sandwich charges.J. Ballistics6, 1304–1322.
Chanteret, P.Y. (1983). An analytical model for metal acceleration by grazing detonation.Proc. Seventh Intl. Symp. on BallisticsThe Hague, Netherlands, April.
Chou, P.C., Carleone, J., Hirsch, E., Flis, W.J., and Ciccarelli, R.D. (1981). Improved formulas for velocity, acceleration, and projection angle of explosively driven liners.Proc. 6th Intl. Symp. on BallisticsOrlando, FL. Also inPropellants, Explosives, and Pyrotechnics8 (1983), 175–183.
Condon, E.U. (1978). Tunneling How it all started.Amer. J. Phys. 46, 319–323.
Cooper, P.W. (1996).Basics of Explosives Engineering. VCH, New York.
Defourneaux, M. and Jacques, L. (1970). Explosive deflection of a liner as a diagnostic of detonation flows.Proc. Fifth Symp. (Intl.) on DetonationONR ACR-184, pp. 457–466, August.
Dobratz, B.M. and Crawford, P.C. (1985).LLNL Explosives Handbook. Properties of Chemical Explosives and Explosive Simulants. Lawrence Livermore National Laboratory Report UCRL-52997 Change 2, January.
Fickett, W. and Davis, W.C. (1979).Detonation. University of California Press, Berkeley, CA, pp. 35–38.
Flis, W.J. (1994). A Lagrangian approach to modeling the acceleration of metal by explosives.Developments in Theoretical and Applied MechanicsVol. XVII, pp. 190–203.
Gittings, E.F. (1965). Initiation of a solid explosive by a short-duration shock.Proc. Fourth Symp. (Intl.) on Detonation. ONR ACR-126, pp. 373–380, October.
Gurney, R.W. (1943). The initial velocities of fragments from bombs, shells, and grenades. Army Ballistic Research Laboratory Report BRL 405.
Hardesty, D.R. and Kennedy, J.E. (1977). Thermochemical estimation of explosive energy output.Combust. Flame28, 45–59.
Hayes, D.B. (1977). Optimizing the initiation of detonation by flying plates. Sandia National Laboratories Report SAND 77–0268, Albuquerque, NM.
Henry, I.G. (1967). The Gurney formula and related approximations for high-explosive deployment of fragments. AD813398, Hughes Aircraft Co. Report PUB-189.
Hirsch, E. (1986). Simplified and extended Gurney formulas for imploding cylinders and spheres.Propellants, Explosives, and Pyrotechnics 116–9.
Hoskin, N.E., Allan, J.W.S., Bailey, W.A., Lethaby, J.W., and Skidmore, I.C. (1965). The motion of plates and cylinders driven by detonation waves at tangential incidence.Proc. Fourth Symp. (Intl.) on Detonation. ONR ACR-126, pp. 14–26, October.
Jones, G.E., Kennedy, J.E., and Bertholf, L.D. (1980). Ballistic calculations of R.W. Gurney.Amer J. Phys. 48, 264–269.
Kamlet, M.J. and Finger, M. (1979). An alternative method for calculating Gurney velocities.Combust. Flame34, 213–214.
Kamlet, M.J. and Jacobs, S.J. (1968). Chemistry of detonations. I. A simple method for calculating detonation properties of C-H-N-O explosives.J. Chem. Phys. 48, 23–35.
Kennedy, J.E. (1970). Gurney energy of explosives: Estimation of the velocity and impulse imparted to driven metal. Sandia National Laboratories Report SCRR-70–90, Albuquerque, NM, December.
Kennedy, J.E., Cherry, C.R., Cherry, C.R. Jr., Warnes, R.H., and Fischer, S.H. (1996). Momentum transfer in indirect explosive drive.Proc. 22nd Intl. Pyrotechnics SeminarFort Collins, CO. Published by IIT Research Institute, Chicago, July.
Kennedy, J.E. and Chou, T.S. (1990). Effects of gaps in explosive/metal systems. Presented at14th Intl. Pyrotechnics SeminarBoulder, CO (unpublished), July.
Kennedy, J.E. and Schwarz, A.C. (1974). Detonation transfer by flyer plate impact.Proc. Eighth Symposium on Explosives and Pyrotechnics. Franklin Institute, Philadelphia, PA. Also Sandia National Laboratories Report SLA 74–5073, Albuquerque, NM.
Kury, J.W., Hornig, H.C., Lee, E.L., McDonnel, J.L., Ornellas, D.L., Finger, M., Strange, F.M., and Wilkins, M.L. (1965). Metal acceleration by chemical explosives.Proc. Fourth Symp. (Intl.) on Detonation. ONR ACR-126, pp. 3–13, October.
Lawrence, R.J. and Trott, W.M. (1993). Theoretical analysis of a pulsed-laser-driven hypervelocity flyer launcher.Internal. J. Impact Engng. 14439–449.
Lee, E.L. and Pfeifer, H. (1969). Velocities of fragments from exploding metal cylinders. Lawrence Livermore National Laboratory Report UCRL 50545, January.
Lieberman, M.L. and Haskell, K.H. (1978). Pyrotechnic output of TiHx/KClO4 actuators from velocity measurements.Proc. 6th Intl. Pyrotechnics SeminarEstes Park, CO. Published by IIT Research Institute, Chicago, July.
Ornellas, D.L. (1968). The heat and products of detonation of HMX, TNT, NM, and FEFO.J. Phys. Chem., 72, 2390–2394. Also Private communication (1970).
Ornellas, D.L. and Stroud, J.R. (1988). Flying-plate detonator using a high-density high explosive. U.S. Patent 4778913.
Paisley, D.L., Warnes, R.H., and Kopp, R.A. (1991). Laser-driven flat plate impacts to 100 GPa with sub-nanosecond pulse duration and resolution for material property studies.Shock Compression in Condensed Matter. Proc. APS Topical ConferenceWilliamsburg, VA, pp. 825–828.
Roth, J. (1971). Private communication.
Taylor, G.I. (1941). Analysis of the explosion of a long cylindrical bomb detonated at one end. InScientific Papers of G.I. TaylorVol. III (G.K. Batchelor, ed.). Cambridge University Press, Cambridge, 1963, pp. 277–286.
Tucker, T.J. and Stanton, P.L. (1975). Electrical Gurney energy: A new concept in modeling of energy transfer from electrically exploded conductors. Sandia National Laboratories Report SAND 75–0244, Albuquerque, NM.
Walker, F.E. and Wasley, R.J. (1969). Critical energy for shock initiation of heterogeneous explosives.Explosivstoffe17, 9.
Walters, W.P. and Zukas, J.A. (1989).Fundamentals of Shaped Charges. Wiley, New York, p. 51.
Warnes, R.H., Paisley, D.L., and Tonks, D.L. (1995). Hugoniot and spall data from the laser-driven miniflyer.Shock Compression of Condensed Matter. Proc. APS Topical ConferenceSeattle, WA, August, pp. 495–498AIP Conference Proc. 370, Part 1 (S.C. Schmidt and W.C. Tao, eds.).
Weinland, C.E. (1969). A scaling law for fragmenting cylindrical warheads. NWC TP 4735, April.
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Kennedy, J.E. (1998). The Gurney Model of Explosive Output for Driving Metal. In: Zukas, J.A., Walters, W.P. (eds) Explosive Effects and Applications. High-Pressure Shock Compression of Condensed Matter. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0589-0_7
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DOI: https://doi.org/10.1007/978-1-4612-0589-0_7
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