A mechanistic model for shock initiation of solid explosives

Physics of Fluids

Volumn 11, Issue 2-3, 1999, Pages 710-736

  Massoni, J ^a   Saurel, R ^a   Baudin, G ^b   Demol, G ^b  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b CENTRE D ETUDES DE GRAMAT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000478461     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869941     Document Type: Article

References (55)

1. F. P. Bowden and A. F. Yoffe, Initiation and Growth of Explosion in Liquids and Solids (Cambridge University Press, Cambridge, 1952).
2. J. Sharma, B. C. Beard, J. Forbes, and C. S. Coffey, "Physical and chemical nature of hot spots in TATB and HMX," in Proceedings of the 10th Symposium (International) on Detonation, Boston, MA, 1993.
3. P. K. Tang, J. N. Johnson, and C. A. Forest, "Modeling heterogeneous high explosives burn with an explicit hot-spot process," in Proceedings of the 8th Symposium (International) on Detonation, Albuquerque, NM, 1985, pp. 52-61.
4. E. L. Lee and C. M. Tarver, "Phenomenological model of shock initiation in heterogeneous explosives," Phys. Fluids 23, 2362 (1980).
5. C. A. Forest, Burning and Detonation, Los Alamos Scientific Laboratory, Report No. LA-7245, 1978.
6. J. N. Johnson, P. K. Tang, and C. A. Forest, "Shock-wave initiation of heterogeneous reactive solids," J. Appl. Phys. 57, 4323 (1985).
7. J. Kang, P. B. Butler, and M. R. Baer, "A thermomechanical analysis of hot spot formation in condensed-phase, energetic materials," Combust. Flame 89, 117 (1992).
8. B. A. Khasainov, A. A. Borisov, B. S. Ermolaev, and A. I. Korotkov, "Two-phase visco-plastic model of shock initiation of detonation in high density pressed explosives," in Proceedings of the 7th Symposium (International) on Detonation, Annapolis, MD, 1981, pp. 435-447.
9. R. B. Frey, "The initiation of explosive charges by rapid shear," in Proceedings of the 7th Symposium (International) on Detonation, Annapolis, MD, 1981, pp. 36-42.
10. D. E. Grady and M. E. Kipp, "The growth of inhomogeneous thermoplastic shear," in Proceedings of the International Conference on Mechanical and Physical Behavior of Materials Under Dynamics Loading, Paris, 1985.
11. M. E. Kipp, "Modeling granular explosives detonation with shear band concepts," in Proceedings of the 8th Symposium (International) on Detonation, Albuquerque, NM, 1985, pp. 35-41.
12. M. M. Chaudhri, "Slab initiation of explosives," Nature 263, 169 (1976).
13. R. Saurel and J. Massoni, "A model for composite explosives ignition by friction mechanism," to appear in CFD (1998).
14. M. M. Chaudhri and J. E. Field, "The role of rapidly compressed gas pockets in the initiation of condensed explosives," Proc. R. Soc. London, Ser. A 340, 113 (1974).
15. M. M. Chaudhri, "The Initiation of Fast Decomposition in Solid Explosives by Fracture, Plastic Row, Friction and Collapsing Voids," Preprints of the 9th Symposium (International) on Detonation, Portland, OR (U.S. Office of Naval Research, Arlington, VA, 1989), pp. 331-339.
16. C. L. Mader, Numerical Modeling of Detonations, Los Alamos Series in Basic and Applied Sciences (University of California Press, Berkeley, 1979).
17. R. E. Setchell and P. A. Taylor, "The effects of grain size on shock initiation mechanisms in hexanitrostilbene (HNS) explosive," Prog. Astronaut. Aeronaut. 94, 350 (1984).
18. Y. Partom, "A void collapse model for shock initiation," in Proceedings of the 7th Symposium (International) on Detonation, Annapolis, MD, 1981, pp. 506-516.
19. R. B. Frey, "Cavity collapse in energetic materials," in Proceedings of the 8th Symposium (International) on Detonation, Albuquerque, NM, 1985, pp. 68-80.
20. L. Rayleigh, "On the pressure developed in a liquid during the collapse of a spherical cavity," Philos. Mag. 34, 94 (1917).
21. E. I. Zababakhin, "Collapse of bubbles in a viscous liquid," Phys. Met. Metallogr. 24, 1129 (1960).
22. M. M. Carroll and A. C. Holt, "Static and dynamics pore collapse relations for ductile porous materials," J. Appl. Phys. 43, 1626 (1972).
23. M. M. Carroll, A. C. Holt, and B. M. Butcher, "Application of a new theory for pressure induced collapse of pores in ductile materials," in Proceedings of the International Symposium on Pore Structure and Properties of Materials, Prague, 1973.
24. B. M. Butcher, M. M. Carroll, and A. C. Holt, "Shock Wave Compaction of Porous Aluminium," J. App. Phys. 45, 3864 (1974).
25. T. Hasegawa and T. Fujiwara, "Propagation velocity and mechanism of bubble detonation," Prog. Astronaut. Aeronaut. 94, 309 (1984).
26. D. E. Maiden, "A model for calculating the threshold for the shock initiation of pyrotechnics and explosives," in Proceedings of 12th International Pyrotechnics Seminar, Vail, Colorado, 1987, pp. 17-26.
27. D. L. Bonnett and P. B. Butler, "Propagation velocity and mechanism of bubble detonation," J. Propul. Power 12, 680 (1996).
28. P. B. Butler, M. F. Lambeck, and H. Krier, "Modeling of shock development and transition to detonation initiated by burning in porous propellant beds," Combust. Flame 46, 75 (1982).
29. M. R. Baer and J. W. Nunziato, "A two phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials," Int. J. Multiphase Flow 12, 861 (1986).
30. C. B. Skidmore, D. S. Phillips, S. F. Son, and B. W. Asay, "Characterization of HMX particles in PBX 9501," APS Meeting on Shock Compression of Condensed Matter, Amherst, 1997.
31. C. Loupias and B. Jimenez, "Modélisation du Comportement non Réactif d'un Explosif Composite," DGA/DRT/ETCA/CEG Report, Gramat, France, 1991 (unpublished).
32. C. Loupias and A. Fanget, "Behavior of an unreacted composite explosive against low velocity impact," in Proceedings of the 9th Symposium (International) on Detonation, Portland, OR, 1989.
33. T. Mitami and F. A. Williams, "A model for the deflagration of nitramines," Sandia National Laboratories Report No. SAND86-8230, Liver-more, CA, 1986.
34. R. R. MacGuire and C. M. Tarver, "Chemical decomposition models for the thermal explosion of confined HMX, RDX, TATB, and TNT explosives," in Proceedings of the 7th Symposium (International) on Detonation, Annapolis, MD, 1981, pp. 56-64.
35. D. L. Bonnett, MSB thesis, University of Iowa, May, 1995.
36. B. A. Khasainov, A. V. Attetkov, A. A. Borisov, B. S. Ermolaev, and V. S. Soloviev, "Critical conditions for hot spot evolution in porous explosives," Prog. Astronaut. Aeronaut. 114, 303 (1988).
37. O. Heuzé and P. Bauer, "A simple method for the calculation of the detonation properties of CHNO explosives," Symposium H.D.P., La Grande Motte, France, 1989, pp. 225-232.
38. O. Heuzé, "Equation of state of detonation products: Influence in the repulsive intermolecular potential," Phys. Rev. A 34, 428 (1986).
39. A. V. Dubovik and M. V. Lisanov, "Calculating the critical initiation parameters for a solid explosive in impact on an anvil," Combust. Explos. 21, 459 (1985).
40. G. Cochran and J. Chan, "Shock Initiation and Detonation Models in One and Two Dimensions," Lawrence Livermore National Laboratory Report, 1979, No. UCID-18024.
41. G. D. Byrne and A. M. Dean, The Solution of the Co-Polymerization Problem with VODE, Recent Developments in Numerical Methods for ODE's/DAE's/PDE's, edited by G. D. Byrne and Schiesser (World Scientific, River Edge, 1992), pp. 137-197.
42. D. A. Drew, "Mathematical modeling of two-phase flows," Annu. Rev. Fluid Mech. 15, 261 (1983).
43. R. Saurel and T. Gallouet, "Modeles et Methodes Numeriques pour les Ecoulements Fluides," Cours de DEA, Centre de Mathematiques et d'Informatique, Marseille, France, 1998.
44. J. P. Cocchi and R. Saurel, "A Riemann problem based method for the resolution of compressible multimaterial flows," J. Comput. Phys. 137, 265 (1997).
45. R. Saurel and R. Abgrall, "A multiphase Godvnov method for Multifluid and Multiphase flows," J. Comput. Phys. (in press).
46. G. Baudin and D. Bergues, "A reaction model for aluminized PBX applied to underwater explosion calculations," in Proceedings of the 10th Symposium (International) on Detonation, Boston, MA, 1993 (unpublished).
47. E. L. Lee, H. C. Horning, and J. W. Kury, "Adiabatic expansion of high explosives detonation products," Lawrence Radiation Laboratory Report No. TID4500-UCRL50422, University of California, Livermore, 1968.
48. Strang, "On the construction and comparison of difference schemes," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 5, 506 (1968).
49. J. Quirk, "An alternative to unstructured grids for computing gas dynamic flow around arbitrarily complex two dimensional bodies," Comput. Fluids 23, 125 (1994).
50. B. van Leer, "Toward the ultimate conservative difference scheme. V. A second order sequel to Godunov's method," J. Comput. Phys. 32, 101 (1979).
51. E. F. Toro, M. Spruce, and W. Spearce, "Restoration of the contact surface in the HLL-type Riemann solver," Shock Waves 4, 25 (1994).
52. S. F. Davis, "Simplified second order Godunov-type methods," SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 9, 445 (1988).
53. A. Harten, P. D. Lax, and B. van Leer, "On upstream differencing and Godunov-type schemes for hyperbolic conservation laws," SIAM (Soc. Ind. Appl. Math.) Rev. 25, 33 (1983).
54. J. van Poperynghe, J. Sorel, and J. C. Aveille, "Shock initiation of TATB and HMX explosive compositions," in Proceedings of the 8th Symposium (International) on Detonation, Albuquerque, NM, 1985, pp. 892-901.
55. e Congrès International de Pyrotechnie, Tours, France, 1993.