王利侠 , 袁宝慧 , 孙兴昀 , 等 . 破甲/杀伤多用途战斗部结构设计及试验研究 [J ] . 火炸药学报 , 2016 , 39 ( 2 ): 75 - 79 . DOI: 10.14077/j.issn.1007-7812.2016.02.016 http://doi.org/10.14077/j.issn.1007-7812.2016.02.016 采用无溶剂法制备了24种不同硝化三乙二醇（TEGDN）含量、不同NC含氮量的双基推进剂样品，并测试了其高温（50℃）、常温（20℃）和低温（-40℃）下的力学性能；讨论了TEGDN含量和NC含氮量对双基推进剂力学性能的影响。结果表明，混合酯双基推进剂的高温和常温抗拉强度随TEGDN含量增加而逐渐下降，在TEGDN质量分数较低（≤ 7.7%）时，随NC含氮量的升高呈降低趋势，在TEGDN质量分数较高（≥ 15.4%）时，随NC含氮量的升高呈先上升后下降的趋势；低温抗拉强度随TEGDN含量增加而逐渐升高，随NC含氮量的升高逐渐降低；高温、常温、低温下的断裂延伸率均随TEGDN含量增加逐渐上升，随NC含氮量的升高逐渐下降；提高TEGDN含量可以改善NC的塑化性能，但含氮量 12.6%及以上的NC不易被良好塑化。

WANG L X , YUAN B H , SUN X Y , et al. Structural design and experimental research on the anti-armor and anti-personnel multi-purpose warhead [J ] . Chinese Journal of Explosive & Propellants , 2016 , 39 ( 2 ): 75 - 79 . (in Chinese)

陈文刚 . 小口径破榴多功能弹药终点效应影响因素研究 [D ] . 南京 : 南京理工大学 , 2011 .

CHEN W G . Study on the influencing factors of the terminal effect of small caliber anti-armor and anti-personnel multipurpose ammunition [D ] . Nanjing : Nanjing University of Science & Technology , 2011 . (in Chinese)

张俊 , 刘荣忠 , 郭锐 , 等 . 破甲杀伤复合战斗部仿真研究 [J ] . 计算机仿真 , 2012 , 29 ( 12 ): 34 - 37

ZHANG J , LIU R Z , GUO R , et al. Simulation study on anti5armor and anti-personnel composite warhead [J ] . Computer Simulation , 2012 , 29 ( 12 ): 34 - 37 . (in Chinese)

李兴隆 , 陈科全 , 路中华 , 等 . 装填系数对破甲杀伤复合战斗部威力影响的数值模拟 [J ] . 含能材料 , 2019 , 27 ( 6 ): 535 - 540 .

LI X L , CHEN K Q , LU Z H , et al. Numerical simulation of the influence of charge-shell mass ratio on the damage power of anti-armor and anti-personnel composite warhead [J ] . Chinese Journal of Energetic Materials , 2019 , 27 ( 6 ): 535 - 540 . (in Chinese)

韩文斌 , 张国伟 , 邵彬 , 等 . 药型罩锥角对破片飞散的影响 [J ] . 爆破器材 , 2020 , 49 ( 1 ): 18 - 23 .

HAN W B , ZHANG G W , SHAO B , et al. Effect of cone angle of shaped liner on fragment dispersion [J ] . Explosive Materials , 2020 , 49 ( 1 ): 18 - 23 . (in Chinese).

白晶 , 张国伟 , 陈京生 , 等 . 多功能战斗部药型罩结构参量研究 [J ] . 兵器装备工程学报 , 2023 , 44 ( 1 ): 96 - 101 .

BAI J , ZHANG G W , CHEN J S , et al. Research on the liner structural parameters of multi-functional warhead [J ] . Journal of Ordnance Equipment Engineering , 2023 , 44 ( 1 ): 96 - 101 . (in Chinese)

周兰庭 , 张庆明 , 龙仁荣 . 新型战斗部原理与设计 [M ] . 北京 : 国防工业出版社 , 2018 : 292 - 294 .

ZHOU L T , ZHANG Q M , LONG R R . Principle and design of the new warhead [M ] . Beijing : National Defense Industry Press , 2018 : 292 - 294 . (in Chinese)

GURNEY R W . The initial velocities of fragments from bombs,shell,grenades:BRL-405 [R ] . Aberdeen Proving Ground,MD , US : Ballistic Research Laboratories , 1943 .

BOLA M S , MADAN A K , SINGH M . Expansion of metallic cylinders under explosive loading [J ] . Defence Science Journal , 1992 , 42 ( 3 ): 157 - 163 .

KARPP R R , PREDEBON W W . Calculations of fragment velocities from naturally fragmenting munitions:BRL-MR-2509 [R ] . Aberdeen Proving Ground,MD , US : Ballistic Research Laboratory ,1975 .

HUANG G Y , LI W , FENG S S . Axial distribution of fragment velocities from cylindrical casing under explosive loading [J ] . International Journal of Impact Engineering , 2015 , 76 : 20 - 27 .

LIU H , HUANG G Y , GUO Z W , et al. Fragments velocity distribution and estimating method of thin-walled cylindrical improvised explosive devices with different length-to-diameter ratios [J ] . Thin-Walled Structures , 2022 , 175 : 109212 .

YIN Z Y , CHEN X W . Numerical study on the dynamic fracture of explosively driven cylindrical shells [J ] . Defence Technology , 2023 , 27 : 154 - 168 .

GAO Y G , ZHANG B , YAN X M , et al. Axial distribution of fragment velocities from cylindrical casing with air parts at two ends [J ] . International Journal of Impact Engineering , 2020 , 140 : 103535 .

NOH D , FAZILY P , SEO S , et al. Data driven prediction of fragment velocity distribution under explosive loading conditions [J ] . Defence Technology , 2025 , 43 : 109 - 119 .

AN X Y , LIU J Y , YE P , et al. Axial distribution characteristics of fragments of the warhead with a hollow core [J ] . International Journal of Impact Engineering , 2018 , 122 : 10 - 22 .

LI Y , REN T F , WEN Y Q , et al. Impact of aspect ratio on fragment velocity distribution for hollow charges [J ] . Materials & Design , 2023 , 228 : 111815 .

LI W , HUANG G Y , FENG S S . Effect of eccentric edge initiation on the fragment velocity distribution of a cylindrical casing filled with charge [J ] . International Journal of Impact Engineering , 2015 , 80 : 107 - 115 .

高月光 , 冯顺山 , 刘云辉 , 等 . 不同端盖厚度的圆柱形装药壳体破片初速分布 [J ] . 兵工学报 , 2022 , 43 ( 7 ): 1527 - 1536 .

GAO Y G , FENG S S , LIU Y H , et al. Initial velocity distribution of fragments from cylindrical charge shells with different thick end caps [J ] . Acta Armamentarii , 2022 , 43 ( 7 ): 1527 - 1536 . (in Chinese) DOI: 10.12382/bgxb.2021.0443 http://doi.org/10.12382/bgxb.2021.0443 The end cap thickness is an important factor to be considered in the accurate design of fragmentation warheads, so this study focues on the initial velocity distribution of fragments from cylindrical charge shell with different thick end caps, which is detonated at the center of one end. Based on theoretical analysis and SPH numerical simulation, the models of cylindrical shells are established, and then the theoretical formula of axial distribution of the initial fragment velocity is proposed. The results show that, with the increase in thicknesses of two end caps, the effect of axial rarefaction waves decreases, and the fragment velocity near the two ends increases accordingly. The acceleration effect of detonation products is the main cause of the velocity increase of fragments near the detonation end, while the acceleration effect of detonation waves is the main cause of the velocity increase of fragments near the non-detonation end. Compared with the fragments near the detonation end, the acceleration of the fragments near the non-detonation end is more apparent. The proposed formula is more suitable for end caps and materials in engineering and the relative error can be significantly reduced. The findings of this study can provide reference for the accurate design of warheads.

LIAO W , JIANG J W , MEN J B , et al. Effect of the end cap on the fragment velocity distribution of a cylindrical cased charge [J ] . Defence Technology , 2021 , 17 ( 3 ): 1052 - 1061 . DOI: 10.1016/j.dt.2020.06.024 http://doi.org/10.1016/j.dt.2020.06.024 The prediction of the fragment velocity distribution of a cylindrical cased charge with end caps is one of the key issues to assess the damage efficiency of the warhead. However, limited work has been conducted to predict the fragment velocity distributions along the axis of cylindrical cased charges with end caps. This paper presents a study of the velocity distribution of fragments caused by the explosion of a cylindrical cased charge with end caps. The fragment velocity distribution and the end cap velocity were determined by an X-ray radiography method, and the axial fragment distribution was determined by witness plates. It was found that the velocities of fragments, especially near the edge, were increased when the end caps were added, and the position of maximum velocity is closer to the non-detonation end. The fragment velocities were increased, and the fragment projection range was decreased with the increase of the thickness of the end cap. A formula for fragment velocity distributions of a cylindrical cased charge with end caps, which is based on Huang's formula, was proposed by the theoretical analysis and data fitting and validated experimentally. The results indicate that the proposed formula is accurate in predicting the fragment velocity distribution along the axis of a cylindrical cased charge with end caps detonated at one end. © 2020 The Authors

YE P , DONG Y X , SUN Q T , et al. Double casing warhead with sandwiched charge:the axial distribution of fragments velocities [J ] . Defence Technology , 2024 , 34 : 201 - 216 .

GAO Y G , FENG S S , XIAO X , et al. Fragment characteristics of cylinder with discontinuous charge [J ] . International Journal of Impact Engineering , 2023 , 173 : 104479 .

崔秉贵 . 弹药战斗部工程设计 [M ] . 北京 : 北京理工大学 ,1995.

CUI B G . Engineering design of ammunition warhead [M ] . Beijing : Beijing Institute of Technology ,1995. (in Chinese)

陈刚 , 陈忠富 , 陶俊林 , 等 . 45钢动态塑性本构参量与验证 [J ] . 爆炸与冲击 , 2005 , 25 ( 5 ): 69 - 74 .

CHEN G , CHEN Z F , TAO J L , et al. Investigation and validation on plastic constitutive parameters of 45 steel [J ] . Explosion and Shock Waves , 2005 , 25 ( 5 ): 69 - 74 . (in Chinese)

KONG X S , WU W G , LI J , et al. A numerical investigation on explosive fragmentation of metal casing using smoothed particle hydrodynamic method [J ] . Materials & Design , 2013 , 51 : 729 - 741 .

DYNAMICS C . Release 14.0 documentation for ANSYS AUTODYN [Z ] . Canonsburg,PA , US : ANSYS Inc ., 2011 : 150 - 151 .

LIU M T , REN G W , FAN C , et al. Experimental and numerical studies on the expanding fracture behavior of an explosively driven 1045 steel cylinder [J ] . International Journal of Impact Engineering , 2017 , 109 : 240 - 252 .