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The ignition mechanism of the explosive particles under impact has been a hot topic, but the research progress is slow. With the rapid development of computer science, the three-dimensional discrete element technique (DM3) is regarded as an efficient and intuitive method to study the explosive ignition under impact. As is well known, octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX) is one of the most effective explosive particles in performance, which has high density and energy and thus possesses a significant application. In this paper, the deformation and ignition of HMX particles under impact of drop hammer are investigated based on the three-dimensional discrete element technique. Specifically, the computational process for shock loading as well as chemical reaction is employed in DM3 model through using the state equation of Hugoniot, the reactive model of Arrhenius, the state equation of JWL. The results show that the size, degree of accumulation, defect and the force of drop hammer can definitely influence the ignition and propagation of HMX particles. Under the same shock loading, the particles on a small scale would produce less power. On the same scale of particle, the less the number of particles, the shorter the deformation time is, so the temperature increases more easily. As for the different shapes of single particles, the deformation and ignition first appear from the ‘top’ for the spire particles, and then the deformation and ignition of flat particles happens from ‘shear’. Specifically, there are two results of the internal defect HMX particles under impact: the particles with bigger size (discrete elements 256 × 34 = 8704) have a temperature advantage near the ‘hole’, while the temperature advantage of the particles with the smaller size (discrete elements 93 × 35 = 3814) appears on the ‘top’.
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Keywords:
- three-dimensional discrete element /
- octogen particles /
- ignition
[1] Alder B J, Wainwright T E 1957 J. Chem. Phys. 27 1208
Google Scholar
[2] Cundall P A, Strack O D L 1979 Géotechnique 29 47
Google Scholar
[3] 赵永志, 江茂强, 徐平, 郑津洋 2009 物理学报 58 1819
Google Scholar
Zhao Y Z, Jiang M Q, Xu P, Zheng J Y 2009 Acta Phys. Sin. 58 1819
Google Scholar
[4] Cundall P A 1971 Proceedings of the Symposium of the International Society of Rock Mechanics 2 2
[5] 徐泳, 孙其诚, 张凌, 黄文彬 2003 力学进展 33 251
Google Scholar
Xu Y, Sun Q C, Zhang L, Huang W B 2003 Advances in Mechanics 33 251
Google Scholar
[6] Ahlinhan M F, Houehanou E, Koube M B, Doko V, Alaye Q, Sungura N E 2018 Adjovi Geomaterials 8 39
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[7] Cundall P A, Hart R D 1979 Numerical Methods in Geomechanics 1 289
[8] Cundall P A, Hart R D 1992 International Journal for Computer-Aided Engineering and Software 9 101
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[9] Cundall P A 2001 Proceedings of the Institution of Civil Engineers-Geotechnical Engineering 149 41
[10] 王泳嘉 1986第一届全国岩石力学数值计算及模型试验讨论会论文集 江西吉安 1986年6月20−27日 第3237页
Wang Y J 1986 Proceedings of the First National Symposium on Numerical Computation and Model Testing of Rock Mechanics Ji’an, Jiangxi, June 20-27 1986 pp32−37 (in Chinese)
[11] 刘凯欣, 高凌天 2003 力学进展 33 483
Google Scholar
Liu K X, Gao L T 2003 Advances in Mechanics 33 483
Google Scholar
[12] Tang Z P, Horie Y, Psakhie S G 1997 High-Pressure Compression of Solids IV (New York: Springer) pp143−175
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Google Scholar
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Google Scholar
Yu J D, Wang W Q, Liu C L, Zhao F, Sun C W 2008 Explosion and Shock Waves 28 488
Google Scholar
[15] 刘超, 石艺娜, 秦承森, 梁仙红 2014 计算物理 31 51
Google Scholar
Liu C, Shi Y N, Qin C S, Liang X H 2014 Chinese Journal of Computational Physics 31 51
Google Scholar
[16] 刘超, 石艺娜, 秦承森, 梁仙红 2014 兵工学报 35 1009
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Liu C, Shi Y N, Qin C S, Liang X H 2014 Acta Armamentarii 35 1009
Google Scholar
[17] 孟凡净, 刘焜 2014 物理学报 63 262
Meng F J, Liu K 2014 Acta Phys. Sin. 63 262
[18] 赵啦啦, 刘初升, 闫俊霞, 徐志鹏 2010 物理学报 59 187007
Zhao L L, Liu C S, Yan J X, Xu Z P 2010 Acta Phys. Sin. 59 187007
[19] 程琦, 冉宪文, 刘苹, 汤文辉, Raphael Blumenfeld 2018 物理学报 67 0147028
Cheng Q, Ran X W, Liu P, Tang W H, Raphael B 2018 Acta Phys. Sin. 67 0147028
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Google Scholar
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[23] 尚海林, 赵锋, 王文强, 傅华 2010 爆炸与冲击 30 131
Google Scholar
Shsng H L, Zhao F, Wang W Q, Fu H 2010 Explosion and Shock Waves 30 131
Google Scholar
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Zhang G R, Chen D N 1991 Initiation Kinetics of Condensed Explosive (Beijing: National Defense Industry Press) pp89−128 (in Chinese)
[25] 尚海林 2009 硕士学位论文 (绵阳: 中国工程物理研究院)
Shang H L 2009 M. S. Thesis (Mianyang: China Academy of Engineering Physics) (in Chinese)
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Google Scholar
[27] Walker F E, Wasley R J 1970 Combust. Flame 3 233
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Google Scholar
Fu H, Zhao F, Tan D W, Wang W Q, Shang H L 2011 Chinese Journal of High Pressure Physics 25 8
Google Scholar
[29] 葛妮娜, 姬广富, 陈向荣, 魏永凯 2013 爆炸与冲击 S1 34
Ge N N, Ji G F, Chen X R, Wei Y K 2013 Explosion and Shock Waves S S1 34
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Google Scholar
[31] 唐志平 2003 中国科学E辑: 技术科学 11 989
Tang Z P 2003 Sci. China Technol. Sci. 11 989
[32] 尚海林 2018 博士学位论文 (绵阳: 中国工程物理研究院)
Shang H L 2018 Ph. D. Dissertation (Mianyang: China Academy of Engineering Physics) (in Chinese)
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图 1 单个HMX颗粒离散元模型
Figure 1. Discrete element model for a single HMX particle.
图 2 多个HMX颗粒离散元模型
Figure 2. Discrete element model for HMX multi-particles.
图 3 颗粒尺寸为100 μm的HMX颗粒受到撞击后的响应过程
Figure 3. The response of HMX particles with the size of 100 μm.
图 5 颗粒尺寸为1000 μm的HMX颗粒炸药受到撞击后的响应过程
Figure 5. The response of HMX particles with the size of 1000 μm.
图 4 颗粒尺寸为500 μm的HMX颗粒炸药受到撞击后的响应过程
Figure 4. The response of HMX particles with the size of 500 μm.
图 6 下落高度为30 cm的HMX颗粒炸药受到撞击后的响应过程
Figure 6. The response of HMX particles with the falling height of 30 cm.
图 7 下落高度为40 cm的HMX颗粒炸药受到撞击后的响应过程
Figure 7. The response of HMX particles with the falling height of 40 cm.
图 8 颗粒数为19的HMX颗粒炸药受到撞击后的响应过程
Figure 8. The response of HMX particles with the particle number 19.
图 9 不同颗粒数样品厚度与温度的关系
Figure 9. The relationship between temperature and thickness of particles.
图 10 尖顶球型炸药颗粒冲击燃烧模型
Figure 10. The combustion model under impact of spherical explosive particles.
图 11 平顶颗粒剪切加热效应
Figure 11. Shear heating effect of flat-topped particles.
图 12 上表面局部点火及燃烧区扩展过程
Figure 12. Local ignition of surface and the process of expansion.
图 13 含孔洞颗粒(离散元
${{256}} \times {{34 = 8704}}$ 个)受撞击后的的点火特性Figure 13. Ignition characteristics of porous particles (discrete elements
${{256}} \times {{34 = 8704}}$ ) under shock force.
图 14 含孔洞颗粒(离散元
${{93}} \times {{35 = 3814}}$ 个)受撞击后的的点火特性Figure 14. Ignition characteristics of porous particles (discrete elements
${{93}} \times {{35 = 3814}}$ ) under shock force.表 1 HMX的计算参数
Table 1. The calculating parameters of HMX.
密度/
g·cm–3摩擦
系数元的半径/
μm元的能量${Q_r}$/
MJ·kg–1比热$C_v^i$/
J·g–1K1.83 0.35 10 6.19 1.1 
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[1] Alder B J, Wainwright T E 1957 J. Chem. Phys. 27 1208
Google Scholar
[2] Cundall P A, Strack O D L 1979 Géotechnique 29 47
Google Scholar
[3] 赵永志, 江茂强, 徐平, 郑津洋 2009 物理学报 58 1819
Google Scholar
Zhao Y Z, Jiang M Q, Xu P, Zheng J Y 2009 Acta Phys. Sin. 58 1819
Google Scholar
[4] Cundall P A 1971 Proceedings of the Symposium of the International Society of Rock Mechanics 2 2
[5] 徐泳, 孙其诚, 张凌, 黄文彬 2003 力学进展 33 251
Google Scholar
Xu Y, Sun Q C, Zhang L, Huang W B 2003 Advances in Mechanics 33 251
Google Scholar
[6] Ahlinhan M F, Houehanou E, Koube M B, Doko V, Alaye Q, Sungura N E 2018 Adjovi Geomaterials 8 39
Google Scholar
[7] Cundall P A, Hart R D 1979 Numerical Methods in Geomechanics 1 289
[8] Cundall P A, Hart R D 1992 International Journal for Computer-Aided Engineering and Software 9 101
Google Scholar
[9] Cundall P A 2001 Proceedings of the Institution of Civil Engineers-Geotechnical Engineering 149 41
[10] 王泳嘉 1986第一届全国岩石力学数值计算及模型试验讨论会论文集 江西吉安 1986年6月20−27日 第3237页
Wang Y J 1986 Proceedings of the First National Symposium on Numerical Computation and Model Testing of Rock Mechanics Ji’an, Jiangxi, June 20-27 1986 pp32−37 (in Chinese)
[11] 刘凯欣, 高凌天 2003 力学进展 33 483
Google Scholar
Liu K X, Gao L T 2003 Advances in Mechanics 33 483
Google Scholar
[12] Tang Z P, Horie Y, Psakhie S G 1997 High-Pressure Compression of Solids IV (New York: Springer) pp143−175
[13] Tang Z P, Horie Y, Psakhie S G 1996 AIP Conference Proceedings 370 657
Google Scholar
[14] 于继东, 王文强, 刘仓理, 赵峰, 孙承维 2008 爆炸与冲击 28 488
Google Scholar
Yu J D, Wang W Q, Liu C L, Zhao F, Sun C W 2008 Explosion and Shock Waves 28 488
Google Scholar
[15] 刘超, 石艺娜, 秦承森, 梁仙红 2014 计算物理 31 51
Google Scholar
Liu C, Shi Y N, Qin C S, Liang X H 2014 Chinese Journal of Computational Physics 31 51
Google Scholar
[16] 刘超, 石艺娜, 秦承森, 梁仙红 2014 兵工学报 35 1009
Google Scholar
Liu C, Shi Y N, Qin C S, Liang X H 2014 Acta Armamentarii 35 1009
Google Scholar
[17] 孟凡净, 刘焜 2014 物理学报 63 262
Meng F J, Liu K 2014 Acta Phys. Sin. 63 262
[18] 赵啦啦, 刘初升, 闫俊霞, 徐志鹏 2010 物理学报 59 187007
Zhao L L, Liu C S, Yan J X, Xu Z P 2010 Acta Phys. Sin. 59 187007
[19] 程琦, 冉宪文, 刘苹, 汤文辉, Raphael Blumenfeld 2018 物理学报 67 0147028
Cheng Q, Ran X W, Liu P, Tang W H, Raphael B 2018 Acta Phys. Sin. 67 0147028
[20] Su Y, Fan J Y, Zheng Z Y, Zhao J J, Song H J 2019 Chin. Phys. B 27 056404
[21] 范航, 何冠松, 杨志剑, 聂福德, 陈鹏万 2019 物理学报 68 106201
Google Scholar
Fan H, He G S, Yang Z J, Nie F D, Chen P W 2019 Acta Phys. Sin. 68 106201
Google Scholar
[22] Tian Y, Wang H, Zhang C S, Tian Q, Zhang W B, Li H J, Li J, Liu B D, Sun G A, Peng T P, Xu Y, Gong J 2017 Chin. Phys. Lett. 34 066101
Google Scholar
[23] 尚海林, 赵锋, 王文强, 傅华 2010 爆炸与冲击 30 131
Google Scholar
Shsng H L, Zhao F, Wang W Q, Fu H 2010 Explosion and Shock Waves 30 131
Google Scholar
[24] 章冠人, 陈大年 1991 凝聚炸药起爆动力学 (北京: 国防工业出版社) 第89−128页
Zhang G R, Chen D N 1991 Initiation Kinetics of Condensed Explosive (Beijing: National Defense Industry Press) pp89−128 (in Chinese)
[25] 尚海林 2009 硕士学位论文 (绵阳: 中国工程物理研究院)
Shang H L 2009 M. S. Thesis (Mianyang: China Academy of Engineering Physics) (in Chinese)
[26] Campbell A W, Davis W C, Travis J R 1961 Phys. Fluids 4 498
Google Scholar
[27] Walker F E, Wasley R J 1970 Combust. Flame 3 233
[28] 傅华, 赵峰, 谭多望, 王文强, 尚海林 2011 高压物理学报 25 8
Google Scholar
Fu H, Zhao F, Tan D W, Wang W Q, Shang H L 2011 Chinese Journal of High Pressure Physics 25 8
Google Scholar
[29] 葛妮娜, 姬广富, 陈向荣, 魏永凯 2013 爆炸与冲击 S1 34
Ge N N, Ji G F, Chen X R, Wei Y K 2013 Explosion and Shock Waves S S1 34
[30] Millett J C F, Taylor P, Roberts A, Appleby-Thomas G 2017 J. Dynamic Behavior Mater. 3 100
Google Scholar
[31] 唐志平 2003 中国科学E辑: 技术科学 11 989
Tang Z P 2003 Sci. China Technol. Sci. 11 989
[32] 尚海林 2018 博士学位论文 (绵阳: 中国工程物理研究院)
Shang H L 2018 Ph. D. Dissertation (Mianyang: China Academy of Engineering Physics) (in Chinese)
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