Implantation and Application of Ignition and Growth Reaction Rate Equation in LS-DYNA Software

doi:10.3969/j.issn.1000-1093.2019.07.010

Abstract

Abstract: An ignition and growth reaction rate equation with 10 parameters is implanted into LS-DYNA software to precisely describe the shock initiation of explosives and simplify the calibration of reaction rate equation. The reaction rate equation is used to simulate the shock initiation of a DNAN-based melt-cast explosive. The parameters of the reaction rate equation are calibrated by comparing the pressure-time curves in experiment and simulation, and the advantages of the reaction rate equation are analyzed. The results indicate that the reaction rate equation can be easily calibrated due to a few number of parameters. The difference between the simulated and experimental arrival times of shock wave does not exceed 0.2 μs, and thus the reaction rate equation can be used to precisely describe the shock initiation of explosives. The algorithm for implanting the reaction rate equation in LS-DYNA software is efficient because the iterations for every grid does not exceed 3 times.Key

Key words: melt-castexplosive, shockinitiation, ignitionandgrowthmodel, reactionrateequation, equationofstate

CLC Number:

O381

MIAO Feichao， ZHOU Lin， ZHANG Xiangrong， CAO Tongtang. Implantation and Application of Ignition and Growth Reaction Rate Equation in LS-DYNA Software[J]. Acta Armamentarii, 2019, 40(7): 1411-1417.

References

［1］ LEE E L, TARVER C M. Phenomenological model of shock initiation in heterogeneous explosives[J]. Physics of Fluids, 1980, 23(12): 2362-2372.
[2］ TARVER C M, HALLQUIST J O, ERICKSON L M. Modeling short pulse duration shock initiation of solid explosives[C]∥Proceedings of the 8th Symposium (International) on Detonation. Albuquerque, NM, US: Office of Naval Research, 1985: 951- 961.
[3］ LI X, SUN Y, ZHAO H, et al. A systematic method to determine and test the ignition and growth reactive flow model parameters of a newly designed polymer-bonded explosive[J]. Propellants, Explosives, Pyrotechnics, 2018, 43(9): 948-954
[4］皮铮迪, 陈朗, 刘丹阳, 等. CL-20基混合炸药的冲击起爆特征[J]. 爆炸与冲击, 2017, 37(6): 915-923.
PI Z D, CHEN L, LIU D Y, et al. Shock initiation of CL-20 based explosives[J]. Explosion and Shock Waves, 2017, 37(6): 915-923.(in Chinese)
[5］谭凯元, 文尚刚, 韩勇.常温附近温度变化对炸药冲击起爆特征的影响[J].含能材料,2016,24(9):905-910.
TAN K Y, WEN S G, HAN Y. Shock initiation characteristics of explosives at near-ambient temperatures[J]. Chinese Journal of Energetic Materials, 2016, 24(9):905-910.(in Chinese)
[6］ HUSSAIN T, LIU Y, HUANG F, et al. Ignition and growth modeling of shock initiation of different particle size formulations of PBXC03 explosive[J]. Journal of Energetic Materials, 2015,34(1): 38-48.
[7］ VANDERSALL K S, GARCIA F, TARVER C M. Shock initiation experiments with ignition and growth modeling on low density compositionB[C]∥the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter. Tampa Bay, FL, US: American Physical Society, 2017.
[8］ LI Y, YANG X, WEN Y, et al. Determination of Lee-Tarver model parameters of JO-11C explosive[J]. Propellants, Explosives, Pyrotechnics， 2018, 43(10):1032-1040.
[9］ MURPHY M. An improved reaction rate equation for simulating the ignition and growth of reaction in high explosives[C]∥Proceedings of the 14th Symposium (International) on Detonation. Coeur d'Alene, ID, US: Office of Naval Research, 2010: 1491-1497.

[10］ COCHRAN S G, CHAN J. Shock initiation and detonation mo- dels in one and two dimensions: UCID-18024[R]. Livermore, CA, US: Lawrence Livermore National Laboratory, 1979.
[11］ CAO T, ZHOU L, ZHANG X, et al. Shock initiation characteristics of an aluminized DNAN/RDX melt-cast explosive[J]. Journal of Energetic Materials, 2017, 35(4): 430-442.
[12］温丽晶. PBX炸药冲击起爆细观反应速率模型研究[D]. 北京:北京理工大学, 2011.
WEN L J. Research on mesoscopic reaction rate model of shock initiation of PBX[D]. Beijing:Beijing Institute of Technology, 2011.(in Chinese)

第40卷
第7期2019 年7月兵工学报ACTA
ARMAMENTARIIVol.40No.7Jul.2019

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