动态加载下高聚物粘结炸药中椭圆孔洞坍塌引起的热点温度及其半经验解析表达

doi:10.3969/j.issn.1000-1093.2022.01.007

摘要/Abstract

摘要： 为获得高聚物粘结炸药内部的热点信息，对其内部椭圆形孔洞在激波载荷作用下的坍塌过程进行了研究。通过相似分析和中尺度模拟，分析冲击强度和孔洞几何形状（孔洞尺寸、位置和伸长状态）对热点温度的影响。结果表明：在一定的冲击强度及特定位置和伸长状态下椭圆形孔洞产生的热点温度可高达2 990 K，比同面积下圆孔洞产生的热点温度（1 946 K）高54%，可使炸药更加敏感；通过使用中间渐近、完全和不完全相似的相似性分析，得到由椭圆形孔洞在激波载荷作用下坍塌所导致的热点温度半经验解析表达，以表征热点温度与冲击强度和孔洞几何形状的关系，热点温度的理论预测结果与数值结果吻合良好。

关键词: 高聚物粘结炸药, 孔洞坍塌, 热点温度, 相似理论, 中尺度模拟, 敏感性

Abstract: The collapse process of elliptical void in a plastic bonded explosive (PBX) under shock loadings is comprehensively investigated through similarity analysis and mesoscale simulation, and the effects of the shock intensity and the void geometry, including the size, position and elongated state, on the hot spot temperature are analyzed. The hot spot temperature generated by an elliptical void can reach up to 2 990 K under the conditions of a certain impact strength, a specific position and elongated state, which is about 54% higher than the hot spot temperature (1 946 K) generated by a circular void in the same area, and this may cause explosive more sensitive. By using similarity analysis of intermediate asymptotics, complete similarity and incomplete similarity, a semi-empirical analytical expression for the hot-spot temperature resulting from the collapse of elliptic void subjected to a shock load is presented to predicate its dependence upon the shock intensity, the void geometry as well as the physical properties of the explosive, and the predicted results are in good agreement with the numerical results.

Key words: plasticbondedexplosive, voidcollapse, hotspottemperature, similaritytheory, mesoscalesimulation, sensitivity

中图分类号:

O389

刘纯，欧卓成，段卓平，黄风雷. 动态加载下高聚物粘结炸药中椭圆孔洞坍塌引起的热点温度及其半经验解析表达[J]. 兵工学报, 2022, 43(1): 57-68.

LIU Chun, OU Zhuocheng, DUAN Zhuoping, HUANG Fenglei. Hot Spot Temperature Resulting from Elliptical Void Collapse in PBX under Dynamic Loading and Its Semi-empirical Analytical Expression[J]. Acta Armamentarii, 2022, 43(1): 57-68.

参考文献

［1］ BOWDE F P, YOFFE A D. Initiation and growth of explosions in liquids and solids[M]. Cambridge, UK: Cambridge University Press, 1951.
[2］ CHAUDHRI M M. Stab initiation of explosions[J]. Nature, 1976, 263(5573):121-122.
[3］ CHAUDHRI M M. The initiation of fast decomposition in solid explosives by fracture, plastic flow, friction and collapsing voids[C]∥Proceedings of the 9th Symposium International on Detonation. Portland, OR, US: Office of Naval Research, 1989: 331-339.
[4］ FREY R B. Cavity collapse in energetic materials [C]∥Proceedings of the 8th Symposium (International) on Detonation. Silver Spring, MD, US: Office of Naval Research, 1985:68-80.
[5］ FIELD J E. Hot spot ignition mechanisms for explosives[J]. Accounts of Chemical Research, 1992, 25(11):489-496.
[6］ MENIKOFF R. On beyond the standard model for high explosives challenges & obstacles to surmount[J]. AIP Conference Proceedings, 2009, 1195(18):18-25.
[7］ CHAUDHRI M M, FIELD J E. The role of rapidly compressed gas pockets in the initiation of condensed explosives[J]. Proceedings of the Royal Society A: Mathematical and Physical Sciences, 1974, 340(1620):113-128.
[8］ KHASAINOV B A, BORISOV A A, ERMOLAEV B S, et al. Two-phase visco-plastic model of shock initiation of detonation in high density pressed explosives[C]∥Proceedings of the 7th Symposium (International) on Detonation. Annapolis, MD, US: Naval Weapons Center, 1981:435-447.
[9］ MADER C. Numerical modeling of explosives and propellants[M]. Boca Raton, FL, US: CRC Press, 1998:172.
[10］ DUARTE C A, HAMED A, DRAKE J D, et al. Void collapse in shocked β-HMX single crystals: simulations and experiments[J]. Propellants, Explosives, Pyrotechnics, 2020, 45(2):243-253.
[11］ ESCAURIZA E M, DUARTE J P, CHAPMAN D J, et al. Collapse dynamics of spherical cavities in a solid under shock loading[J]. Scientific Reports, 2020, 10(1):8455.
[12］ RAI N K, ESCAURIZA E M, EAKINS D E, et al. Mechanics of shock induced pore collapse in poly (methyl methacrylate) (PMMA): comparison of simulations and experiments[J]. Journal of the Mechanics and Physics of Solids, 2020, 143:104075.
[13］ MENIKOFF R. Pore collapse and hot spots in HMX[J]. AIP Conference Proceedings, 2004, 706:393-396.
[14］ CHITANVIS S M. Hotspot mechanisms in shock-melted explosives[J]. AIP Conference Proceedings, 2004, 706:319-322.
[15］ TRAN L, UDAYKUMAR H S. Simulation of void collapse in an energetic material, part 1: inert case[J]. Journal of Propulsion and Power, 2006, 22(5):947-958.
[16］ TRAN L, UDAYKUMAR H S. Simulation of void collapse in an energetic material, part 2: reactive case[J]. Journal of Propulsion and Power, 2006, 22(5):959-974.
[17］ NAJJAR F M, HOWARD W M, FRIED L E. Computational study of 3-D hot-spot initiation in shocked insensitive high-explosive[J]. AIP Conference Proceedings, 2012, 1426(1):255-258.
[18］ KAPAHI A, UDAYKUMAR H S. Three-dimensional simulations of dynamics of void collapse in energetic materials[J]. Shock Waves, 2015; 25(2):177-187.
[19］ MICHAEL L, NIKIFORAKIS N. The evolution of the temperature field during cavity collapse in liquid nitromethane. Part I: inert case[J]. Shock Waves, 2019, 29(1):153-172.
[20］ MICHAEL L, NIKIFORAKIS N. The evolution of the temperature field during cavity collapse in liquid nitromethane. Part II: reactive case[J]. Shock Waves, 2019, 29(1):173-191.
[21］ JACKSON T L, BUCKMASTER J D, ZHANG J, et al. Pore collapse in an energetic material from the micro-scale to the macro-scale[J]. Combustion Theory and Modelling, 2015, 19(3): 347-381.
[22］ KAPILA A K, SCHWENDEMAN D W, GAMBINO J R, et al. A numerical study of the dynamics of detonation initiated by cavity collapse[J]. Shock Waves, 2015, 25(6):545-572.
[23］ KAPAHI A, UDAYKUMAR H S. Dynamics of void collapse in shocked energetic materials: physics of void-void interactions[J]. Shock Waves, 2013; 23(6):537-558.
[24］ RAI N K, UDAYKUMAR H S. Void collapse generated meso-scale energy localization in shocked energetic materials: Non-dimensional parameters, regimes, and criticality of hotspots[J]. Physics of Fluids, 2019, 31(1):016103.
[25］洪滔, 王裴. 炸药中热点形成的数值模拟[J]. 含能材料, 2004, 12(增刊1):509-513.
HONG T, WANG P. Numerical simulation of formation of hot spot in high explosive[J]. Energetic Materials, 2004, 12(S1):509-513. (in Chinese)
[26］刘新桥, 王成. 凝聚相炸药爆轰波冲击空穴塌陷过程的高精度数值模拟[J]. 北京理工大学学报, 2016, 36(4):354-358.
LIU X Q, WANG C. High resolution numerical simulation of detonation wave shock-induced void collapse in condensed explosives[J]. Transactions of Beijing Institute of Technology, 2016, 36(4):354-358. (in Chinese)
[27］ LEVESQUE G A, VITELLO P. The effect of pore morphology on hot spot temperature[J]. Propellants, Explosives, Pyrotechnics, 2015, 40(2):303-308.
[28］ RAI N K, SCHMIDT M J, UDAYKUMAR H S. Collapse of elongated voids in porous energetic materials: effects of void orientation and aspect ratio on initiation[J]. Physical Review Fluids, 2017, 2(4):043201.
[29］ SPRINGER H K, BASTEA S, NICHOLS A L,et al. Modeling the effects of shock pressure and pore morphology on hot spot mechanisms in HMX[J]. Propellants, Explosives, Pyrotechnics, 2018, 43(8):805-817.
[30］ MA D Z, CHEN P W, ZHOU Q, et al. Ignition criterion and safety prediction of explosives under low velocity impact[J]. Journal of Applied Physics, 2013, 114(11):113505.
[31］ BARENBLATT G I. Scaling, self-similarity, and intermediate asymptotics[M]. Cambridge, UK: Cambridge University Press, 1996.
[32］ KULIKOVSKII A G, POGORELOV N V, SEMENOV A Y. Mathematical aspects of numerical solution of hyperbolic systems[M]∥FEY M, JELTSCH R. Hyperbolic Problems: Theory, Numerics, Applications. Basel, Switzerland:Springer Basel AG, 2000:4.
[33］ HOLMQUIST T J, JOHNSON G R. Determination of constants and comparison of results for various constitutive models[J]. Journal de Physique IV, 1991, 1(C3):853-860.

[1]	杜明刚，张金乐，张喜明，孙亚东，毛飞鸿. 履带装甲车辆空气阻力系数试验测定[J]. 兵工学报, 2021, 42(7): 1564-1568.
[2]	宁子轩，王琳，程兴旺，程焕武，刘安晋，徐雪峰，周哲，张斌斌. 分离式霍普金森压杆加载下不同组织Ti-6321钛合金的动态响应行为[J]. 兵工学报, 2021, 42(4): 862-870.
[3]	白志玲，段卓平，黄风雷. 高聚物粘结炸药冲击起爆统计热点反应速率模型[J]. 兵工学报, 2021, 42(11): 2379-2387.
[4]	侯宇菲，许进升，周长省，陈雄，李宏文. 复合固体推进剂颗粒与基体初始界面有无缺陷的细观模型对比[J]. 兵工学报, 2020, 41(9): 1800-1808.
[5]	秦金凤，赵雪，钱华，芮久后. 高致密球形黑索今晶体结构对高聚物粘结炸药安全性能的影响[J]. 兵工学报, 2020, 41(3): 481-487.
[6]	徐雪峰，王琳，沙彦刚，杨思琪，刘安晋， Tayyeb Ali，张斌斌，赵登辉. TC4 ELI钛合金动态压缩性能及绝热剪切敏感性的研究[J]. 兵工学报, 2020, 41(2): 366-373.
[7]	吴亚琛，沈忱，孙晓乐，焦清介，刘海伦，闫石. 浇注六硝基六氮杂异伍兹烷基混合炸药驱动性能[J]. 兵工学报, 2020, 41(12): 2458-2465.
[8]	魏强，黄西成，陈刚，陈鹏万. 高聚物粘结炸药动态损伤破坏的数值刻画[J]. 兵工学报, 2019, 40(7): 1381-1389.
[9]	李潘，郝志明，刘永平，甄文强. 基于近场动力学非普通状态理论的高聚物粘结炸药损伤破坏模拟研究[J]. 兵工学报, 2018, 39(5): 893-900.
[10]	欧亚鹏，闫石，焦清介，郭学永，孙亚伦. 浇注高聚物粘结炸药的粘结剂体系设计及其应用研究[J]. 兵工学报, 2018, 39(1): 63-70.
[11]	周鼎，苗应刚，王严培，李峰，李玉龙. 冲击载荷下硼酸改性端羟基聚硅氧烷-二氧化硅复合材料的响应特性[J]. 兵工学报, 2018, 39(1): 137-145.
[12]	王竟成，罗景润. 不同细观力学方法预测高聚物粘结炸药有效模量的比较[J]. 兵工学报, 2017, 38(6): 1106-1112.
[13]	崔云霄，陈鹏万，郭保桥， David A. Cendón，周忠彬. 基于内聚裂纹模型的高聚物粘结炸药模拟材料动态断裂行为研究[J]. 兵工学报, 2017, 38(12): 2379-2385.
[14]	崔云霄，陈鹏万， David A. Cendón，戴开达，钟方平. 基于内聚裂纹模型的高聚物粘结炸药模拟材料动态巴西实验的数值模拟[J]. 兵工学报, 2016, 37(9): 1639-1645.
[15]	白志玲，段卓平，景莉，刘益儒，欧卓成，黄风雷. 飞片冲击起爆高能钝感高聚物粘结炸药的实验研究[J]. 兵工学报, 2016, 37(8): 1464-1468.