高强钢弹体高速侵彻混凝土靶的刚体临界侵彻速度研究

钱秉文; 周刚; 李名锐; 尹立新; 高鹏飞; 陈春林; 马坤

doi:10.11883/bzycj-2022-0309

高强钢弹体高速侵彻混凝土靶的刚体临界侵彻速度研究

doi: 10.11883/bzycj-2022-0309

西北核技术研究院，陕西西安 710024

基金项目: 国家自然科学基金（11802248）

详细信息

作者简介:
钱秉文（1987－　），男，博士，副研究员，qianbingwen@nint.ac.cn

通讯作者:
周　刚（1964－　），男，博士，研究员，博士生导师，gzhou@nint.ac.cn

中图分类号: O385
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- 被引次数: 0
出版历程
- 收稿日期: 2022-07-18
- 修回日期: 2024-04-30
- 网络出版日期: 2024-05-06
- 刊出日期: 2024-10-30

Rigid-body critical transformation velocity of a high-strength steel projectile penetrating concrete targets at high velocities

Northwest Institute of Nuclear Technology, Xi’an 710024, Shaanxi, China

摘要

摘要: 刚体临界侵彻速度的理论准确预测是高强钢弹体高速侵彻混凝土靶研究中的关键问题，本文中利用二级轻气炮开展了克级高强钢（G50）卵形头长杆弹以1010~1660 m/s的速度侵彻C40混凝土靶实验研究，获取了刚体临界侵彻速度和侵彻深度实验数据，并开展了刚体临界侵彻速度和考虑弹体头部磨蚀的侵彻深度理论分析，得到结论如下：(1)克级G50卵形头长杆弹侵彻C40混凝土靶时的刚体临界侵彻速度区间为1320~1520 m/s；(2)基于已有侵彻模型，建立了新的刚体临界侵彻速度理论模型，模型计算结果与本文及文献中的系列实验结果吻合较好；(3)建立了考虑头部侵蚀的侵彻深度模型，与实验结果吻合较好；(4)弹体屈服强度对刚体临界侵彻速度有显著影响，靶体无围压抗压强度对刚体临界侵彻速度有较小影响，实验前的弹体头形系数和弹体尺寸对刚体临界侵彻速度无显著影响。
- 高速侵彻 /
- 刚体临界侵彻速度 /
- 高强钢 /
- 混凝土 /
- 二级轻气炮
Abstract: The accurate prediction of the critical penetration speed of a rigid body is a key issue in the study of high-strength steel projectile penetration into concrete targets at high velocities. This paper conducts experimental research on the penetration of C40 concrete targets by high-strength steel (G50) ogive-nosed long rod projectiles at the velocities of 1010 to 1660 m/s using a two-stage light gas gun, obtaining experimental data on the critical penetration velocity and penetration depth of the rigid body. Theoretical analysis of the critical penetration velocity of the rigid body and the penetration depth considering the projectile head erosion is also carried out, and the following conclusions are drawn: (1) the interval of the critical penetration velocity for G50 ogive-nosed long rod projectiles penetrating C40 concrete targets is 1320 to 1520 m/s; (2) based on existing penetration models, a new theoretical model for the critical penetration velocity of the rigid body was established, and the calculated results of the model are in good agreement with the experimental results of this paper and the literature; (3) a penetration depth model considering head erosion was established, which also matches the experimental results well; (4) the yield strength of the projectile has a significant effect on the critical penetration velocity of the rigid body, the unconfined compressive strength of the target has a minor effect on the critical penetration velocity, and the shape coefficient and size of the projectile before the experiment have no significant effect on the critical penetration velocity.
- high-speed penetration /
- rigid-body critical transformation velocity /
- high-strength steel /
- concrete /
- two-stage light-gas gun

HTML全文

图 1 超高速撞击实验安排示意图

Figure 1. Setup for hypervelocity impact experiments

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图 2 弹体气动分离的高速摄影照片

Figure 2. High-speed photographic photos of aerodynamic separation of the projectile

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图 3 高强钢弹体结构示意图（单位为mm)

Figure 3. Structure diagram of high-strength steel projectiles (unit in mm)

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图 4 混凝土靶

Figure 4. Concrete targets

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图 5 实验得到的侵彻深度和弹体质量损失率随撞击速度的变化

Figure 5. Changes of penetration depth and mass loss ratio of the projectile with impact velocity

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图 6 实验后的弹体和靶体照片

Figure 6. Photos of the projectiles and the targets after the experiments

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图 7 不同模型计算结果与实验结果的对比

Figure 7. Comparison of the calculation results by different models with the experimental ones

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图 8 不同弹靶组合得到的刚体临界速度区间实验值与计算值的对比

Figure 8. Comparison of experimental values and calculated values of critical velocity range of rigid body obtained by different projectile combinations

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图 9 刚体临界侵彻速度的计算值随弹体材料的静态屈服强度和靶体无围压抗压强度的变化关系

Figure 9. Variation of the calculated critical rigid-body penetration velocity with the static yield strength of the projectile materials and the unconfined compressive strength of the target

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表 1 高速侵彻实验结果

Table 1. High-velocity penetration experiment results

实验编号	ν₀/(m∙s⁻¹)	P/mm	L_pr/mm	β_L/%	m_pr/g	β_m/%
1	1 010	193	30.30	2.8	1.70	2.2
2	1 150	215	30.00	3.9	1.67	3.3
3	1 320	255	28.70	10.6	1.62	5.8
4	1 410	250	29.28	8.8	1.56	9.1
5	1 520	175	20.90	33.0	1.22	29.1
6	1 660	120	14.77	54.0	0.96	44.0

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表 2 不同弹靶组合得到的刚体临界侵彻速度实验值与计算值的对比

Table 2. Comparison of experimental and calculated critical rigid-body penetration velocities obtained by different projectile-target combinations

编号	ψ	弹体材料	σ_ys/MPa	m₀/g	f_c/MPa	v_r/(m∙s⁻¹)
编号	ψ	弹体材料	σ_ys/MPa	m₀/g	f_c/MPa	实验	计算
Case 1^[4]	4.25	60Si2Mn	1200	~150	76.4	1120～1430	1194
Case 2^[4]	4.25	60Si2Mn	1200	~150	61.3	1110～1470	1215
Case 3^[4]	4.25	60Si2Mn	1200	~150	48.6	1140～1410	1235
Case 4^[4]	9.25	60Si2Mn	1200	~150	48.6	1120～1345	1235
Case 5^[4]	4.25	35CrMnSi	1275	~150	76.4	1235～1385	1244
Case 6^[4]	4.25	60Si2Mn	1200	~150	34.8	1180～1420	1260
Case 10^[4]	4.25	40CrNiMo	1610	~150	76.4	>1390	1448
Case 7^[1]	4.25	4340钢	1258	478	62.8	1024～1224	1251
Case 8^[1]	4.25	4340钢	1258	1600	51	1201～1358	1269
Case 9^本文	3	G50	1340	1.72	42.7	1320～1520	1335

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参考文献(25)

[1]	FORRESTAL M J, FREW D J, HANCHAK S J, et al. Penetration of grout and concrete targets with ogive-nose steel projectiles [J]. International Journal of Impact Engineering, 1996, 18(5): 465–476. DOI: 10.1016/0734-743X(95)00048-F.
[2]	武海军, 张爽, 黄风雷. 钢筋混凝土靶的侵彻与贯穿研究进展 [J]. 兵工学报, 2018, 39(1): 182–208. DOI: 10.3969/j.issn.1000-1093.2018.01.020. WU H J, ZHANG S, HUANG F L. Research progress in penetration/perforation into reinforced concrete targets [J]. Acta Armamentarii, 2018, 39(1): 182–208. DOI: 10.3969/j.issn.1000-1093.2018.01.020.
[3]	武海军, 黄风雷, 王一楠. 高速弹体非正侵彻混凝土试验研究 [C]//第八届全国爆炸力学学术会议论文集. 吉安: 中国力学学会爆炸力学专业委员会, 2007: 495–501. WU H J, HUANG F L, WANG Y N. Experimental study on high-velocity non-positive penetration concrete [C]//Proceedings of the 8th National Conference on Explosive Mechanics. Ji’an, Jiangxi: Explosive Mechanics Professional Committee of the Chinese Society of Mechanics, 2007: 495–501.
[4]	何翔, 徐翔云, 孙桂娟, 等. 弹体高速侵彻混凝土的效应实验 [J]. 爆炸与冲击, 2010, 30(1): 1–6. DOI: 10.11883/1001-1455(2010)01-0001-06. HE X, XU X Y, SUN G J, et al. Experimental investigation on projectiles' high-velocity penetration into concrete targets [J]. Explosion and Shock Waves, 2010, 30(1): 1–6. DOI: 10.11883/1001-1455(2010)01-0001-06.
[5]	王明洋, 李杰, 李海波, 等. 岩石的动态压缩行为与超高速动能弹毁伤效应计算 [J]. 爆炸与冲击, 2018, 38(6): 1200–1217. DOI: 10.11883/bzycj-2018-0173. WANG M Y, LI J, LI H B, et al. Dynamic compression behavior of rock and simulation of damage effects of hypervelocity kinetic energy bomb [J]. Explosion and Shock Waves, 2018, 38(6): 1200–1217. DOI: 10.11883/bzycj-2018-0173.
[6]	李干, 宋春明, 邱艳宇, 等. 超高速弹对花岗岩侵彻深度逆减现象的理论与实验研究 [J]. 岩石力学与工程学报, 2018, 37(1): 60–66. DOI: 10.13722/j.cnki.jrme.2017.0584. LI G, SONG C M, QIU Y Y, et al. Theoretical and experimental studies on the phenomenon of reduction in penetration depth of hyper-velocity projectiles into granite [J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(1): 60–66. DOI: 10.13722/j.cnki.jrme.2017.0584.
[7]	赵晓宁. 高速弹体对混凝土侵彻效应研究 [D]. 南京: 南京理工大学, 2011. ZHAO X N. Study on the effect of projectiles high-velocity normal penetrating into concrete targets [D]. Nanjing: Nanjing University of Science and Technology, 2011.
[8]	KONG X Z, WU H, FANG Q, et al. Projectile penetration into mortar targets with a broad range of striking velocities: test and analyses [J]. International Journal of Impact Engineering, 2017, 106: 18–29. DOI: 10.1016/j.ijimpeng.2017.02.022.
[9]	王可慧, 耿宝刚, 初哲, 等. 弹体高速侵彻钢筋混凝土靶的结构变形及质量损失的实验研究 [J]. 高压物理学报, 2014, 28(1): 61–68. DOI: 10.11858/gywlxb.2014.01.010. WANG K H, GENG B G, CHU Z, et al. Experimental studies on structural response and mass loss of high-velocity projectiles penetrating into reinforced concrete targets [J]. Chinese Journal of High Pressure Physics, 2014, 28(1): 61–68. DOI: 10.11858/gywlxb.2014.01.010.
[10]	CHEN X W, LI Q M. Transition from nondeformable projectile penetration to semihydrodynamic penetration [J]. Journal of Engineering Mechanics, 2004, 130(1): 123–127. DOI: 10.1061/(ASCE)0733-9399(2004)130:1(123).
[11]	刘闯, 张先锋, 黄长强, 等. 半球头长杆弹高速侵彻半无限厚靶临界速度理论模型 [J]. 振动与冲击, 2019, 38(9): 8–14. DOI: 10.13465/j.cnki.jvs.2019.09.002. LIU C, ZHANG X F, HUANG C Q, et al. Critical velocity theoretical model for hemispherical long rod projectiles' penetrating semi-infinite thick target at high velocity [J]. Journal of Vibration and Shock, 2019, 38(9): 8–14. DOI: 10.13465/j.cnki.jvs.2019.09.002.
[12]	LIU C, ZHANG X F, CHEN H H, et al. Experimental and theoretical study on steel long-rod projectile penetration into concrete targets with elevated impact velocities [J]. International Journal of Impact Engineering, 2020, 138: 103482. DOI: 10.1016/j.ijimpeng.2019.103482.
[13]	高飞, 张国凯, 纪玉国, 等. 卵形弹体超高速侵彻砂浆靶的响应特性 [J]. 兵工学报, 2020, 41(10): 1979–1987. DOI: 10.3969/j.issn.1000-1093.2020.10.007. GAO F, ZHANG G K, JI Y G, et al. Response characteristics of hypervelocity ogive-nose projectile penetrating into mortar target [J]. Acta Armamentarii, 2020, 41(10): 1979–1987. DOI: 10.3969/j.issn.1000-1093.2020.10.007.
[14]	赵军, 陈小伟, 金丰年, 等. 考虑头形磨损变化的动能弹侵彻深度研究 [J]. 力学学报, 2010, 42(2): 212–218. DOI: 10.6052/0459-1879-2010-2-2009-009. ZHAO J, CHEN X W, JIN F N, et al. Studying on the penetration depth of penetrator with including the effect of mass abrasion [J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 212–218. DOI: 10.6052/0459-1879-2010-2-2009-009.
[15]	LU Z C, WEN H M. On the penetration of high strength steel rods into semi-infinite aluminium alloy targets [J]. International Journal of Impact Engineering, 2018, 111: 1–10. DOI: 10.1016/j.ijimpeng.2017.08.006.
[16]	卢正操, 张元迪, 文鹤鸣, 等. 长杆弹侵彻半无限混凝土靶的理论研究 [J]. 现代应用物理, 2018, 9(4): 040102. DOI: 10.12061/j.issn.2095-6223.2018.040102. LU Z C, ZHANG Y D, WEN H M, et al. Theoretical study on the penetration of long rods into semi-infinite concrete targets [J]. Modern Applied Physics, 2018, 9(4): 040102. DOI: 10.12061/j.issn.2095-6223.2018.040102.
[17]	ZHANG Y D, LU Z C, WEN H M. On the penetration of semi-infinite concrete targets by ogival-nosed projectiles at different velocities [J]. International Journal of Impact Engineering, 2019, 129: 128–140. DOI: 10.1016/j.ijimpeng.2019.03.004.
[18]	LAN B, WEN H M. Alekseevskii-Tate revisited: an extension to the modified hydrodynamic theory of long rod penetration [J]. Science China Technological Sciences, 2010, 53(5): 1364–1373. DOI: 10.1007/s11431-010-0011-x.
[19]	姚志彦, 李金柱, 齐凯丽, 等. 长杆弹超高速侵彻砂浆靶临界速度的实验和计算 [J]. 兵工学报, 2022, 43(7): 1578–1588. DOI: 10.12382/bgxb.2021.0403. YAO Z Y, LI J Z, QI K L, et al. Experiment and calculation of critical velocity of long-rod projectile penetrating mortar target at hypervelocity [J]. Acta Armamentarii, 2022, 43(7): 1578–1588. DOI: 10.12382/bgxb.2021.0403.
[20]	张德志, 唐润棣, 林俊德, 等. 新型气体驱动二级轻气炮研制 [J]. 兵工学报, 2004, 25(1): 14–18. DOI: 10.3321/j.issn:1000-1093.2004.01.004. ZHANG D Z, TANG R D, LIN J D, et al. Development of a new type gas-driven two-stage light gas gun [J]. Acta Armamentarii, 2004, 25(1): 14–18. DOI: 10.3321/j.issn:1000-1093.2004.01.004.
[21]	FORRESTAL M J, ALTMAN B S, CARGILE J D, et al. An empirical equation for penetration depth of ogive-nose projectiles into concrete targets [J]. International Journal of Impact Engineering, 1994, 15(4): 395–405. DOI: 10.1016/0734-743X(94)80024-4.
[22]	FORRESTAL M J, FREW D J, HICKERSON J P, et al. Penetration of concrete targets with deceleration-time measurements [J]. International Journal of Impact Engineering, 2003, 28(5): 479–497. DOI: 10.1016/S0734-743X(02)00108-2.
[23]	何丽灵. 高速侵彻混凝土弹体的动力学行为研究:计及质量损失和头形钝化 [D]. 合肥: 中国科学技术大学, 2012. HE L L. Studies on dynamic behavior of high-speed projectile penetrating into concrete target: considering mass loss and nose blunting [D]. Hefei: University of Science and Technology of China, 2012.
[24]	TATE A. Further results in the theory of long rod penetration [J]. Journal of the Mechanics and Physics of Solids, 1969, 17(3): 141–150. DOI: 10.1016/0022-5096(69)90028-3.
[25]	宋小龙, 安继儒. 新编中外金属材料手册 [M]. 北京: 化学工业出版社, 2012. SONG X L, AN J R. New Chinese and foreign metal materials manual [M]. Beijing: Chemical Industry Press, 2012.