钨合金球形破片侵彻低碳钢的弹道极限速度计算模型

doi:10.12382/bgxb.2021.0448

摘要/Abstract

摘要： 为得到更大速度适用范围的钨合金球形破片侵彻低碳钢板弹道极限速度计算模型，分析不同着靶速度下钨合金球形破片侵彻低碳钢板的侵彻破坏特征，建立了包含弹、靶主要力学参数的弹道极限速度计算模型，模型系统考虑破片刚性、塑性、侵蚀以及破碎侵彻等情况；根据模型求解需要，针对钨合金破坏特征建立对应速度阈值的计算方法；基于已有试验数据，应用信赖域方法获得模型系数，建立弹道极限速度计算模型；开展破片对Q235、Q345E钢板弹道侵彻试验，根据试验结果分析模型的计算精度。结果表明：该模型计算结果较试验结果平均误差和最大误差均低10%，较现有弹道极限速度计算模型计算结果平均误差减少了60%。

关键词: 钨合金球形破片, 低碳钢, 弹道极限速度, 冲击动力学

Abstract: The penetration failure characteristics of tungsten alloy spherical fragments penetrating into low-carbon steel plate at different target speeds are analyzed to obtain a ballistic limit calculation model of tungsten alloy spherical fragments penetrating into low-carbon steel plate in a wider speed range. A ballistic limit calculation model including the main mechanical parameters of projectile and target is proposed. The fragment rigidity，plasticity, erosion and fragmentation penetration iare considered in the proposed model. A calculation method of velocity threshold for different failure characteristics of tungsten alloy is established for the need of solving the model. Based on the existing experimental data, the model coefficients are obtained by using trust region method. In addition, the ballistic limit of fragments penetrating into Q235 and Q345E steel plates is test，and the calculation accuracy of the model is analyzed according to the test results. The results show that the calculated average error and maximum error of the model are 10% lower than those of the test results，and the average error of the model is reduced by 60% compared with the existing ballistic limit calculation model.

Key words: tungstenalloyfragment,lowcarbonsteel, ballisticlimit, impactdynamics

中图分类号:

刘铁磊，徐豫新，王晓锋，张鹏，张健. 钨合金球形破片侵彻低碳钢的弹道极限速度计算模型[J]. 兵工学报, 2022, 43(4): 768-779.

LIU Tielei, XU Yuxin, WANG Xiaofen, ZHANG Peng, ZHANG Jian. Ballistic Limit Calculation Model of Tungsten Alloy Spherical Fragments Penetrating into Low Carbon Steel Plate[J]. Acta Armamentarii, 2022, 43(4): 768-779.

参考文献

［1］张浩宇, 张树凯, 程立, 等.杀伤爆破战斗部起爆方式对地面目标杀伤威力的影响[J].兵工学报, 2021, 42(11):2300-2309.
ZHANG H Y, ZHANG S K, CHENG L, et al.The impact of initiation mode of blast fragmentation warhead on the power to kill the ground target[J].Acta Armamentarii, 2021, 42(11):2300-2309.(in Chinese)
[2］ GOLSDMITH W, FINNEGAN S A. Penetration and perforation processes in metal targets at and above ballistic velocities[J].International Journal of Mechanical Sciences, 1971, 13(10):843- 866.
[3］谭多望, 李翔, 温殿英, 等.球形钨合金破片终点弹道性能实验研究[J].爆炸与冲击, 2003, 23(5):425-429.
TAN D W, LI X, WEN D Y,et al.Experimental investigation of terminal effects of spherical tungsten fragments[J].Explosion and Shock Waves, 2003, 23(5):425-429.(in Chinese)
[4］陈志斌.钨合金预制破片对靶板侵彻机理研究[D].北京：北京理工大学, 2007.
CHEN Z B.Study on penetration mechanism of tungsten alloy preformed fragment into target[D].Beijing: Beijing Institute of Technology,2007.(in Chinese)
[5］午新民.钨合金球体对有限厚靶板侵彻的理论与试验研究[D].北京:北京理工大学, 1999.
WU X M.Theoretical and experimental study on penetration of tungsten alloy sphere into finite thickness target[D].Beijing:Beijing Institute of Technology, 1999.(in Chinese)
[6］徐豫新.破片毁伤效应若干问题研究[D].北京:北京理工大学, 2012.
XUN Y X.Research on problems of fragment damage effects[D].Beijing：Beijing Institute of Technology, 2012.(in Chinese)
[7］朱曦光, 梁栋, 涂建, 等.钨合金破片高速穿甲工程计算方法探讨[J]. 兵器材料科学与工程, 2017, 40(1):51-55.
ZHU X G, LIANG D,TU J,et al.Calculating method of tungsten alloy fragment penetrating steel target at high velocity[J].Ordnance Material Science and Engineering, 2017,40(1):51-55.(in Chinese)
[8］李金福, 智小琦, 范兴华.钨球及六棱钨柱破片侵彻Q235叠层靶特性研究[J].火炮发射与控制学报, 2021, 42(2):28-33, 39.
LI J F, ZHI X Q, FAN X H.Study on the characteristics of the tungsten ball and hexagonal tungsten prism fragments penetrating Q235 laminated targets[J].Journal of Gun Launch & Control, 2021, 42(2):28-33, 39.(in Chinese)
[9］张钰龙, 郑宾, 郭华玲, 等.球形钨破片侵彻钢靶毁伤效应研究[J].兵器装备工程学报, 2020, 41(5):32-36.
ZHANG Y L, ZHENG B, GUO H L, et al.Study on damage effect of spherical tungsten fragments penetrating steel targets[J].Journal of Ordnance Equipment Engineering, 2020, 41(5):32-36.(in Chinese)
[10］ LIU B, VILLAVICENCIO R, GUEDES SOARES C.On the failure criterion of aluminum and steel plates subjected to low-velocity impact by a spherical indenter[J].International Journal of Mechanical Sciences, 2014,80:1-15.
[11］程瑶, 赵太勇, 陈智刚, 等.低中速钨球变形与速度关系计算模型[J].爆破器材, 2019, 48(5):52-56.
CHENG Y, ZHAO T Y, CHEN Z G, et al.Calculation model of relationship between deformation and velocity of low and medium speed tungsten ball[J].Explosive Materials, 2019, 48(5):52-56.(in Chinese)
[12］ ROSENBERG Z, DEKEL E.On the deep penetration of deforming long rods[J].International Journal of Solids and Structures, 2010, 47(2):238-250.
[13］张江跃, 谭华, 虞吉林.双屈服法测定93W合金的屈服强度[J].高压物理学报, 1997(4):254-259.
ZHANG J Y, TAN H, YU J L.Determination of the yield strength of 93W alloys by using AC techniques[J].Chinese Journal of High Pressure Physics,1997(4):254-259.(in Chinese)
[14］ ROSENBERG Z, MAEMOR E, MAYSELESS M.On the hydrodynamic theory of long-rod penetration[J].International Journal of Impact Engineering, 1990,10(1/2/3/4):483-486.
[15］ TATE A.A possible explanation for the hydrodynamic transition in high speed impact[J].International Journal of Mechanical Sciences, 1977, 19(2):121-123.
[16］ HU K, LI X Q, AI X,et al.Fabrication, characterization, and mechanical properties of 93W-4.9Ni-2.1Fe/95W-2.8Ni-1.2Fe-1Al₂O₃ heavy alloy composites[J].Materials Science and Engineering:A, 2015, 636:452-458.
[17］徐豫新, 任杰, 王树山.钨球正撞击下低碳钢板的极限贯穿厚度研究[J].北京理工大学学报, 2017, 37(6):551-556.
XU Y X, REN J, WANG S S.Research on the performation limit through thickness of low carbon steel plate Impact Normally under the impact of tungsten sphere[J].Transcation of Beijing Institute of Technology, 2017, 37(6):551-556.(in Chinese)
[18］徐豫新, 王树山, 伯雪飞, 等.钨合金球形破片对低碳钢的穿甲极限[J].振动与冲击, 2011, 30(5):192-195.
XU Y X, WANG S S,BO X F,et al.Armor-piercing ultimate of tungsten alloy spherical fragment against low-carbon steel[J].Journal of Vibration and Shock, 2011, 30(5):192-195.(in Chinese)
[19］ SUN Y H, SHI C C,ZHENG L,et al.Theoretical research progress in high-velocity/hypervelocity impact on semi-infinite targets[J].Shock and Vibration, 2015(4): 265321.
[20］ ANDERSON Jr C E.Analytical models for penetration mechanics:a review [J].International Journal of Impact Engineering, 2017, 108:3-26.
[21］ ANDERSON Jr C E, RIEGEL J P. A penetration model for metallic targets based on experimental data［J］. International Journal of Impact Engineering, 2015, 80:24-35.
[22］黄长强, 朱鹤松.球形破片对靶板极限穿透速度公式的建立[J].弹箭与制导学报, 1993(2):58-61.
HUANG C Q, ZHU H S.Establishment of limit penetration velocity formula of spherical fragment to target[J].Journal of Projectiles, Rockets, Missiles and Guidance, 1993(2):58-61.(in Chinese)
[23］徐豫新, 韩旭光, 赵晓旭, 等.钨合金高速侵彻低碳钢板失效行为实验研究[J].稀有金属材料与工程, 2016, 45(1):122-126.
XU Y X, HAN X G, ZHAO X X, et al.Experimentation research on failure behavior of tungsten alloy penetrating low carbon steel plate at high velocity[J].Rare Metal Materials and Engineering, 2016, 45(1):122-126.(in Chinese)
[24］赵晓旭, 王树山, 徐豫新, 等.钨球高速侵彻低碳钢板成坑直径的计算模型[J].北京理工大学学报, 2015, 35(12):1217-1221.
ZHAO X X, WANG S S, XU Y X, et al.Crater diameter calculation model of tungsten sphere impacting low carbon steel plate at high velocity[J]. Transaction of Beijing Institute of Technology, 2015, 35(12):1217-1221.(in Chinese)

[1]	肖艳文，徐峰悦，余庆波，郑元枫，王海福. 类钢密度活性材料弹丸撞击铝靶行为实验研究[J]. 兵工学报, 2016, 37(6): 1016-1022.
[2]	李常胜1，黄献聪2，李焱2，王雷2，李茂辉2，周宏2. 软体防弹衣穿透概率的分析[J]. 兵工学报, 2013, 34(1): 20-24.
[3]	陈大年，吴善幸，王焕然，马东方，贾存威，胡金伟，金扬辉. 冲击载荷下延性材料的动态本构关系与动态断裂[J]. 兵工学报, 2010, 31(6): 725-734.
[4]	杜忠华，赵国志，杨玉林. 陶瓷/玻璃纤维/钢板复合靶板抗弹性能的研究[J]. 兵工学报, 2003, 24(2): 219-221.
[5]	姜春兰，陈放，李明,马晓青. 钨球对陶瓷/铝复合靶的侵彻与贯穿[J]. 兵工学报, 2001, 22(1): 37-40.