An Elastic/Viscoplastic Pore Collapse Model of Double-Layered Hollow Sphere for Hot-Spot Ignition in Shocked Explosives
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摘要: 基于Kim的弹粘塑性单球壳塌缩模型,考虑PBX炸药中的粘结剂效应,假设炸药和粘结剂均为弹粘塑性材料,建立了弹粘塑性双球壳塌缩热点反应模型,给出了炸药球壳在冲击压力作用下的速度、应变、温度和化学反应速率的时空分布,以及新的热点反应速率理论表达式。把新的热点反应项与Kim的低压下慢反应项和张震宇提出的高压反应速率方程相结合,得到了新的冲击起爆三项式细观反应速率模型。把该模型加入DYNA2D中,模拟了PBX-9501炸药的一维冲击起爆过程,结果表明:该模型除了可以解释炸药颗粒度和孔隙度的影响外,还可以较好地描述粘结剂强度和含量对PBX炸药冲击起爆感度的影响。Abstract: An elastic/viscoplastic pore collapse model of double-layered hollow sphere, in which the effect of the binder in Plastic Bonded Explosives (PBX) was taken into account, was developed as a hot-spot ignition model in shocked explosives. The space and time distributions of the velocity, strain, temperature and chemical reaction rate in shock compression of the explosive hollow sphere were theoretically calculated. A new expression of reaction rate equation was obtained for the hot-spot ignition. The three-term reaction rate model, consisting of the new hot-spot ignition term, the slow burning term at low-pressure from Kim and the high-pressure reaction term from ZHANG Zhen-Yu, was implemented into the two-dimensional, hydrodynamic finite-element code DYNA2D and used to simulate the one-dimensional shock initiation process of PBX-9501 explosive. The numerical results show that the model can successfully explain the influence of strength and content of the binder in PBX on the shock initiation, and that of particle size and porosity as well.
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Key words:
- shock initiation /
- reaction rate model /
- hot-spot ignition model /
- plastic bonded explosives /
- binder
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Mader C L. Numerical Modeling of Detonation [M]. Berkeley, USA: University of California Press, 1979. Lee E L, Tarver C M. Phenomenological Model of Shock Initiation in Heterogeneous Explosives [J]. Phys Fluids, 1980, 23(12): 2362-2372. Tarver C M, Hallquist J O. Modeling Two-Dimensional Shock Initiation and Detonation Wave Phenomena in PBX-9404 and LX-17 [A]//Short J M. Proceedings of the 7th Symposium (International) on Detonation [C]. Annapolis, MD, 1981: 488-497. Tarver C M, Hallquist J O, Erickson L M. Modeling Short Pulse Duration Shock Initiation of Solid Explosives [A]//Proceedings of the 8th Symposium (International) on Detonation [C]. Albuquerque, NM, 1985: 951-961. Johnson J N, Tang P K, Forest C A. Shock-Wave Initiation of Heterogeneous Reactive Solids [J]. J Appl Phys, 1985, 57(9): 4323-4334. Tang P K, Johnson J N, Forest C A. Modeling Heterogeneous High Explosive Burn with an Explicit Hot-spot Process [A]//Proceedings of the 8th Symposium (International) on Detonation [C]. Albuquerque, NM, 1985: 52-61. Field J E. Hot Spot Ignition Mechanisms for Explosives [J]. Accounts Chem Res, 1992, 25: 489-496. Kim K, Sohn C H. Modeling of Reaction Bulidup Processes in Shocked Porous Explosives [A]//Proceedings of the 8th Symposium (International) on Detonation [C]. Albuquerque, NM, 1985: 926-933. Kim K. Development of a Model of Reaction Rates in Shocked Multicomponent Explosives [A]//Proceedings of the 9th Symposium (International) on Detonation [C]. Portland, OR, 1989: 593-603. Wen L J, Duan Z P, Zhang Z Y, et al. A Pore Collapse Model of Double Hollow Sphere with Rigid-Plastic Binders for Hot-Spot Ignition in Shocked Explosives [J]. Transactions of Beijing Institute of Technology, 2011, 31(8): 883-887. (in Chinese) 温丽晶, 段卓平, 张震宇, 等. 刚塑性粘结剂的双球壳塌缩热点反应模型 [J]. 北京理工大学学报, 2011, 31(8): 883-887. Zhang Z Y, Lu F Y, Wang Z B, et al. Studies on High-Pressure Reaction Rate of PBX-9404 [J]. Explosion and Shock Waves, 1999, 19(4): 360-364. (in Chinese) 张震宇, 卢芳云, 王志兵, 等. PBX-9404炸药高压反应速率方程的研究 [J]. 爆炸与冲击, 1999, 19(4): 360-364. Perzyna P. Fundamental Problems in Viscoplasticity [J]. Adv Appl Mech, 1966, 9: 350-352. Liang Z Y, Huang F L, Zhang Z Y. Numerical Simulation of Damaged Explosive in Shock Detonation [J]. Transactions of Beijing Institute of Technology, 2006, 26(12): 1047-1051. (in Chinese) 梁增友, 黄风雷, 张震宇. 损伤炸药的冲击起爆数值模拟 [J]. 北京理工大学学报, 2006, 26(12): 1047-1051. Tian Z D, Zhang Z Y. A Mesomechanic Model of Shock Initiation in PBX-9404 Explosives [J]. Chinese Journal of Energetic Materials, 2007, 15(5): 464-467. (in Chinese) 田占东, 张震宇. PBX-9404炸药冲击起爆细观反应速率模型 [J]. 含能材料, 2007, 15(5): 464-467. Liang Z Y, Huang F L, Zhang Z Y. Study on New Reaction Rate Function Model of PBX-9404 for Damaged Explosive Initiation Behavior [J]. Explosion and Shock Waves, 2008, 28(1): 38-43. (in Chinese) 梁增友, 黄风雷, 张震宇. PBX-9404的化学反应速率方程及起爆特性 [J]. 爆炸与冲击, 2008, 28(1): 38-43. Tarver C M, Forbes J W, Garcia F, et al. Manganin Gauge and Reactive Flow Modeling Study of the Shock Initiation of PBX 9501 [A]//Furnish M D, Thadhani N N, Horie Y. Shock Compression of Condensed Matter-2001 [C]. New York: AIP Conference Proceedings, 2002:1043-1046.
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