THERMAL SCIENCE

International Scientific Journal

Predrag M. Elek

,

Vesna V. Džingalašević

,

Slobodan S. Jaramaz

,

Dejan M. Micković

DETERMINATION OF DETONATION PRODUCTS EQUATION OF STATE FROM CYLINDER TEST: ANALYTICAL MODEL AND NUMERICAL ANALYSIS

ABSTRACT
Contemporary research in the field of explosive applications implies utilization of hydrocode simulations. Validity of these simulations strongly depends on parameters used in the equation of state for high explosives considered. A new analytical model for determination of Jones-Wilkins-Lee (JWL) equation of state parameters based on the cylinder test is proposed. The model relies on analysis of the metal cylinder expansion by detonation products. Available cylinder test data for five high explosives are used for the calculation of JWL parameters. Good agreement between results of the model and the literature data is observed, justifying the suggested analytical approach. Numerical finite element model of the cylinder test is created in Abaqus in order to validate the proposed model. Using the analytical model results as the input, it was shown that numerical simulation of the cylinder test accurately reproduces experimental results for all considered high explosives. Therefore, both the analytical method for calculation of JWL equation of state parameters and numerical Abaqus model of the cylinder test are validated. [Projekat Ministartsva nauke Republike Srbije, br. III-47029]
KEYWORDS
high explosive, detonation, cylinder test, JWL equation of state, numerical simulation
PAPER SUBMITTED: 2012-10-29
PAPER REVISED: 2013-10-02
PAPER ACCEPTED: 2013-10-17
PUBLISHED ONLINE: 2013-11-16
DOI REFERENCE: https://doi.org/10.2298/TSCI121029138E
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Issue 1, PAGES [35 - 48]
REFERENCES
  1. Zukas, J.A., Introduction to hydrocodes, Elsevier Science, Amsterdam, 2004
  2. Fickett, W., Davis, W.C., Detonation: Theory and Experiment, Dover Publications, New York, 2001
  3. Davis, W.C., Shock waves; rarefaction waves; equations of state, in: Explosive Effects and Applications (Eds. J.A. Zukas, W.P. Walters), Springer, New York, USA, 2003, pp. 47-114
  4. Lee, E.L., Hornig, H.C., Kury, J.W., Adiabatic expansion of high explosive detonation products, UCRL-50422, Livermore, California, USA, 1968
  5. Urtiew, P.A., Hayes, B., Parametric study of the dynamic JWL-EOS for detonation products, Combustion, Explosion, and Shock Waves, 27 (1991), 4, pp. 505-514
  6. Glaesemann, K.R., Fried, L.E., Recent Advances in Modeling Hugoniots with Cheetah, Proceedings, 14th APS Topical Conference on Shock Compression of Condensed Matter, Baltimore, MD, USA, 845 (2006), pp. 515-518
  7. Souers, P.C., Wu, B., Haselman, L.C., Detonation Equation of State at LLNL 1995, Technical Report UCRL-ID-119262 Rev3, Lawrence Livermore National Laboratory, Livermore, CA, USA, 1996
  8. Hill, L.G., Catanach, R.A., W-76 PBX-9501 Cylinder test, Technical Report LA-13442-MS, Los Alamos National Laboratories, Los Alamos, NM, USA, 1998
  9. Reaugh, J.E., Souers, P.C., A constant-density Gurney approach to the cylinder test, Propellants, Explosives, Pyrotechnics, 29 (2004), 2, pp. 124-128
  10. Lindsay, C.M., et al., Increasing the Utility of the Copper Cylinder Expansion Test, Propellants, Explosives, Pyrotechnics, 35 (2010), 5, pp. 433-439
  11. Bailey, W.A., et al., Explosive equation of state determination by the AWRE method, Proceedings, 7th Symposium (International) on Detonation, Annapolis, USA, 1981, pp. 678-685
  12. Polk, J.F., Determination of equation of state of explosive detonation products from the cylinder expansion test, Technical report ARBRL-TR-02571, Ballistic Research Laboratory, Aberdeen Proving Ground, Maryland, USA, 1984
  13. Ijsselstein, R.R., On the expansion of high-explosive loaded cylinders and JWL equation of state, Proceedings, 9th International Symposium on Ballistics, Shrivenham, UK, 1986
  14. Hornberg, H., Determination of fume state parameters from expansion measurements of metal tube, Propellants, Explosives, Pyrotechnics, 11 (1986), 1, pp. 23-31
  15. Miller, P.J., Carlson, K.E., Determining JWL Equation of State Parameters using the Gurney Equation Approximation, Proceedings, 9th Symposium (International) on Detonation, Portland, Oregon, USA, 1989, pp. 930-936
  16. Lan, I.-F., et al., An improved simple method of deducing JWL parameters from cylinder expansion test, Propellants, Explosives, Pyrotechnics, 18 (1993), 1, pp. 18-24
  17. Sućeska, M., Test Methods for Explosives, 1st edition, Springer-Verlag, New York, 1995
  18. Elek, P., et al., Cylinder test: Analytical and numerical modeling, Proceedings, 4th Scientific Conference OTEH 2011, Belgrade, Serbia, 2011, pp. 324-330
  19. Gurney, R.W., The Initial Velocities of Fragments from Bombs, Shells, and Grenades, Army Ballistic Research Laboratory, Report BRL 405, Aberdeen Proving Ground, Maryland, USA, 1943
  20. Koch, A., N. Arnold, N., M. Estermann, M., A Simple Relation between the Detonation Velocity of an Explosive and its Gurney Energy, Propellants, Explosives, Pyrotechnics, 27 (2002), 6, pp. 365-368
  21. Keshavarz, M.H., Semnani, A., The simplest method for calculating energy output and Gurney velocity of explosives, Journal of Hazardous Materials, 131 (2006), 1-3, pp. 1-5
  22. Džingalašević, V., et al., Cylinder test - development of the method for determination of the Gurney energy of explosives (in Serbian), 2nd Scientific Conference OTEH 2007, Belgrade, Serbia, 2007, CD
  23. Baker, E.L., et al., Recent combined effects explosives technology, Technical Report ARMET-TR-10004, Picatinny Arsenal, NJ, USA, 2010
  24. Hill, L.G., Detonation products equation-of-state directly from the cylinder test, Proceedings, 21st International Symposium on Shock Waves, Great Keppel Island, Australia, 1997, pp. 1-6
  25. Elek, P., et al., Determination of detonation products equation of state using cylinder test, Third Serbian (28th Yu) Congress on Theoretical and Applied Mechanics, Vlasina Lake, Serbia, 2011, pp. 457-570
  26. Taylor, G.I., Analysis of the explosion of a long cylindrical bomb detonated at one end, in: Scientific papers of Sir Geoffrey Ingram Taylor: Vol. 3. Aerodynamics and the Mechanics of Projectiles and Explosions (Ed. G.K. Batchelor), Cambridge University Press, Cambridge, UK, 1963, pp. 277-286
  27. Dobratz, B.M., Crawford, P.C., LLNL Explosives handbook: Properties of chemical explosives and explosive simulants, UCRL-52997 Change 2, Lawrence Livermore National Laboratory, Livermore, CA, USA, 1985
  28. Johnson, G.R., Cook, W.H., A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures, Proceedings, 7th International Symposium on Ballistics, The Hague, 1983
  29. Martineau, R.L., Anderson, C.A., Smith, F.W., Expansion of cylindrical shells subjected to internal explosive detonations, Experimental Mechanics, 40 (2000), 2, pp. 219-225
  30. Gold, V.M., Baker, E.L., A model for fracture of explosively driven metal shells, Engineering Fracture Mechanics, 75 (2008), 2, pp. 275-289
  31. ***, Abaqus Theory Manual, Dassault Systemes, Simulia Corp, Providence, RI, USA, 2009
  32. Johnson, G.R., Cook, W.H., Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures, Engineering Fracture Mechanics, 21 (1985), 1, pp. 31-48
  33. Kennedy, J.E., The Gurney model for explosive output for driving metal, in: Explosive Effects and Applications, (Eds. J.A. Zukas, W.P. Walters), Springer, 2003, pp. 221-258
PDF VERSION [DOWNLOAD]
Determination of detonation products equation of state from cylinder test: Analytical model and numerical analysis

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence