钨合金弹体对混凝土靶的超高速侵彻机理

周刚; 李名锐; 文鹤鸣; 钱秉文; 索涛; 陈春林; 马坤; 冯娜

doi:10.11883/bzycj-2020-0304

钨合金弹体对混凝土靶的超高速侵彻机理

doi: 10.11883/bzycj-2020-0304

1.
西北核技术研究所，陕西西安 710024
2.
中国科学技术大学近代力学系，安徽合肥 230027
3.
西北工业大学航空学院，陕西西安 710072

基金项目: 国家自然科学基金（11402213，11772269）

详细信息

作者简介:
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: 2020-08-27
- 修回日期: 2020-12-30
- 网络出版日期: 2021-01-25
- 刊出日期: 2021-02-05

Mechanism on hypervelocity penetration of a tungsten alloy projectile into a concrete target

1.
Northwest Institute of Nuclear Technology, Xi’an 710024, Shaanxi, China
2.
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, Anhui, China
3.
School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China

摘要

摘要: 为研究钨合金弹体超高速侵彻混凝土靶的相关机理，构建了适用于超高速撞击的金属强度模型、失效模型和混凝土的本构模型，对93钨合金弹体超高速撞击混凝土靶问题进行了数值模拟。开展了钨合金弹体超高速撞击混凝土靶实验，分析了靶板成坑特性，研究了侵彻总深度和残余弹体长度随撞击速度的变化规律，理论分析了长杆钨弹超高速撞击混凝土的侵彻模型和混凝土靶内的应力波传播。得到以下主要结论：（1）利用金属及混凝土的新本构模型获得的超高速撞击混凝土靶的破坏形貌数值模拟结果与实验结果一致；（2）超高速撞击条件下混凝土靶成坑为“弹坑＋弹洞”形，成坑体积与弹体动能近似成正比；（3）超高速撞击条件下，侵彻深度随弹速提高呈现先增大后减小的现象，高速段侵深降低是弹体经历销蚀侵彻后“刚体侵彻阶段”减少造成的；（4）建立的钨合金超高速撞击混凝土侵彻分析模型，可用来预估侵彻深度、残余弹长、蘑菇头直径等参数；（5）采用建立的超高速撞击混凝土靶内应力波传播理论模型得到的计算结果与实验结果吻合较好。
- 超高速撞击 /
- 钨合金 /
- 混凝土靶 /
- 本构模型 /
- 侵彻模型 /
- 应力波传播模型
Abstract: To investigate the hypervelocity impact mechanism of a tungsten alloy projectile on a concrete target, a new dynamic plasticity-based failure model for metal was developed by introducing Lode angle, dynamic enhancement factor, temperature softening term and stress triaxiality, and a new constitutive model for concrete was proposed by introducing strain rate effect, pressure dependence, Lode angle and free water effect. The advanced measurement technologies were introduced to determine the dynamic mechanical behaviors of materials, then the materials parameters were used to numerically simulate the hypervelocity penetration of a tungsten alloy projectile into a concrete target. Based on a 57/10 two-stage light gas gun, the experiments were carried out on the hypervelocity impact of the tungsten alloy projectile on the concrete target. And according to the computed tomography scanning images of the damaged concrete targets, the crater characteristics in the targets were analyzed. Then the relationships of the total penetration depth and the residual length of the projectile with the initial impact velocity of the projectile were obtained. The penetration of the projectile and the stress wave propagation in the concrete target were analyzed by the theoretical method. The achieved results are as follows. (1) By utilizing the new constitutive models for the metal and concrete, the failure morphology of the concrete derived from numerical simulation is consistent with that from the experiment. (2) The craters are structured by spalling areas and projectile holes, the transverse failure effect shows a significant advantage over low-velocity penetration, and the volume of craters is approximately proportional to the kinetic energy of projectiles. (3) The penetration depth increases at first and then decreases with the increase of the impact velocities, the decrease of the penetration depth under high velocity is due to the decrease of the rigid penetration stage after the erosive penetration stage. (4) A theoretical penetration model is proposed, which can be used to predict the depth of penetration, the residual length of the projectile and the diameter of the mushroom-like head, et al. (5) A theoretical stress wave propagation model is developed and the theoretical results of stress waves are in good agreement with the experimental ones.
- hypervelocity impact /
- tungsten alloy /
- concrete target /
- constitutive model /
- penetration model /
- stress waves propagation model

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图 1 混凝土靶板在3.08 km/s的撞击速度下的成坑情况

Figure 1. Crater formation in the concrete target under the impact of the projectile with the initial velocity of 3.08 km/s

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图 2 靶体中应力计的布置及其在冲击速度为3.08 km/s时测得的应力波形

Figure 2. Layout of three stress gauges in the target and stress waves obtained by the three stress gauges when the impact velocity is 3.08 km/s

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图 3 混凝土靶成坑形貌

Figure 3. Morphologies of impact craters formed in concrete targets

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图 4 弹坑直径、弹坑深度、弹坑深度与弹坑直径之比、弹坑体积随弹体初始冲击速度的变化

Figure 4. Changes of the diameter, depth, depth-to-diameter ratio and volume of a crater with the initial impact velocity of a projectile

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图 5 侵彻深度随弹速变化关系

Figure 5. Relationship between penetration depth and impact velocity

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图 6 不同初始撞击速度下的残余弹体形状

Figure 6. Residual projectiles at different initial impact velocities

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图 7 残余弹体长度及和直径随撞击速度的变化

Figure 7. Variation of length and diameter of a residual projectile with impact velocity

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图 8 侵彻深度随撞击速度变化示意图

Figure 8. Schematic diagram showing penetration depth changing with impact velocity

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图 9 无量纲侵彻深度与撞击速度的关系

Figure 9. Relationship between non-dimensional crater depth and impact velocity

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图 10 残余弹体直径、长度与撞击速度的变化

Figure 10. Relationships of the diameters and lengths of residual projectiles with impact velocities

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图 11 理论计算值与实验值比较

Figure 11. Comparison of theoretical and experimental results

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图 12 不同撞击速度下理论与实验应力波峰值对比

Figure 12. Comparison of theoretical and experimental peak values of stress wave under different velocities

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表 1 钨合金强度模型材料参数

Table 1. Material parameters of the strength model for tungsten alloy

${A_{\rm{t}}}$/MPa	${B_{\rm{t}}}$/MPa	${n_{\rm{t}}}$	$W_{\rm{x} } ^\prime$	$W_{\rm{y} } ^\prime$	$B_{\rm{y} } ^\prime$	$S'$	${\dot \varepsilon _{{\rm{quasi}}}}$/(10⁻³ s⁻¹)	$C_1 $	$C_2 $	$C_3 $	$C_4 $
615	1382	0.61	0.0	1.0	2.15	0.0	0.5	0.45	0.5	−0.010 32	1.612 5

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表 2 混凝土强度模型材料参数

Table 2. Material parameters of the strength model for concrete

f_c'/MPa	f_t/MPa	B'	N	F_m	W_x	S	c₁	c₂	c₃	c₄	${\varepsilon _{{\rm{frac}}}}$	${\lambda _{\rm{m}}}$	q₁	q₂
42.7	4	1.62	0.86	10	1.6	0.8	3	6.93	0.45	0.3	0.004	0.3	0.15	2.0

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表 3 混凝土靶破坏特征参数

Table 3. Parameters showing damage characteristic of concrete targets

方法	弹速/(km·s⁻¹)	弹洞深度/mm	弹坑深度/mm	弹坑直径/mm
实验	3.08	66.5	20.3	127.7
模拟	3.08	71.0	19.6	148.0

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参考文献(29)

[1]	杨秀敏, 邓国强. 常规钻地武器破坏效应的研究现状和发展 [J]. 后勤工程学院学报, 2016, 32(5): 1–9. DOI: 10.3969/j.issn.1672-7843.2016.05.001. YANG X M, DENG G Q. The research status and development of damage effect of conventional earth penetration weapon [J]. Journal of Logistical Engineering University, 2016, 32(5): 1–9. DOI: 10.3969/j.issn.1672-7843.2016.05.001.
[2]	JOHNSON G R, COOK W H. A constitutive model and data for metals subjected to large strains, high strain rates and hige temperatures [C] // Proceedings of the 7th International Symposium on Ballistics. The Hague, 1983: 541−547.
[3]	JOHNSON G R, COOK W H. Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures [J]. Engineering Fracture Mechanics, 1985, 21(1): 31–48. DOI: 10.1016/0013-7944(85)90052-9.
[4]	STEINBERG D J, COCHRAN S G, GUINAN M W. A constitutive model for metals applicable at high-strain rate [J]. Journal of Applied Physics, 1980, 51(3): 1498–1504. DOI: 10.1063/1.327799.
[5]	郭子涛, 舒开鸥, 高斌, 等. 基于J-C模型的Q235钢的失效准则 [J]. 爆炸与冲击, 2018, 38(6): 1325–1332. DOI: 10.11883/bzycj-2017-0163. GUO Z T, SHU K O, GAO B, et al. J-C model based failure criterion and verification of Q235 steel [J]. Explosion and Shock Waves, 2018, 38(6): 1325–1332. DOI: 10.11883/bzycj-2017-0163.
[6]	ERICE B, GÁLVEZ F. A coupled elastoplastic-damage constitutive model with Lode angle dependent failure criterion [J]. International Journal of Solids and Structures, 2014, 51(1): 93–110. DOI: 10.1016/j.ijsolstr.2013.09.015.
[7]	HOLMQUIST T J, JOHNSON G R, COOK W H. A computational constitutive model for concrete subjected to large strains, high strain rates, and high pressures [C] // Proceedings of the 14th International Symposium on Ballistics. Quebec, 1993: 561−600.
[8]	RIEDEL W, THOMA K, HIERMAIER S, et al. Penetration of reinforced concrete by BETA-B-500 numerical analysis using a new macroscopic concrete model for hydrocodes [C] // Proceedings of the 9th International Symposium on the Effects of Munitions with Structures. Berlin, 1999.
[9]	焦文俊, 陈小伟. 长杆高速侵彻问题研究进展 [J]. 力学进展, 2019, 49(1): 201904. DOI: 10.6052/1000-0992-17-021. JIAO W J, CHEN X W. Review on long-rod penetration at hypervelocity [J]. Advances in Mechanics, 2019, 49(1): 201904. DOI: 10.6052/1000-0992-17-021.
[10]	程怡豪, 王明洋, 施存程, 等. 大范围着速下混凝土靶抗冲击试验研究综述 [J]. 浙江大学学报(工学版), 2015, 49(4): 616–625, 637. DOI: 10.3785/j.issn.1008-973X.2015.04.002. CHENG Y H, WANG M Y, SHI C C, et al. Review of experimental investigation of concrete target to resist missile impact in large velocity range [J]. Journal of Zhejiang University (Engineering Science), 2015, 49(4): 616–625, 637. DOI: 10.3785/j.issn.1008-973X.2015.04.002.
[11]	李杰, 程怡豪, 徐天涵, 等. 岩石类介质侵彻效应的理论研究进展 [J]. 爆炸与冲击, 2019, 39(8): 081101. DOI: 10.11883/bzycj-2019-0286. LI J, CHENG Y H, XU T H, et al. Review on theoretical research of penetration effects into rock-like material [J]. Explosion and Shock Waves, 2019, 39(8): 081101. DOI: 10.11883/bzycj-2019-0286.
[12]	王明洋, 邱艳宇, 李杰, 等. 超高速长杆弹对岩石侵彻、地冲击效应理论与实验研究 [J]. 岩石力学与工程学报, 2018, 37(3): 564–572. DOI: 10.13722/j.cnki.jrme.2017.1348. WANG M Y, QIU Y Y, LI J, et al. Theoretical and experimental study on penetration in rock and ground impact effects of long rod projectiles of hyper speed [J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(3): 564–572. DOI: 10.13722/j.cnki.jrme.2017.1348.
[13]	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.
[14]	沈俊, 徐翔云, 何翔, 等. 弹体高速侵彻岩石效应试验研究 [J]. 岩石力学与工程学报, 2010, 29(S2): 4207–4212. SHEN J, XU X Y, HE X, et al. Experimental study of effect of rock targets penetrated by high-velocity projectiles [J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(S2): 4207–4212.
[15]	牛雯霞, 黄洁, 柯发伟, 等. 混凝土房屋结构靶的超高速撞击特性研究 [J]. 实验流体力学, 2014, 28(2): 79–84. DOI: 10.11729/syltlx2014pz38. NIU W X, HUANG J, KE F W, et al. Research on hypervelocity impact characteristics of concrete building structures target [J]. Journal of Experiments in Fluid Mechanics, 2014, 28(2): 79–84. DOI: 10.11729/syltlx2014pz38.
[16]	王鹏, 郭磊, 余道建, 等. 动能棒超高速对混凝土靶板撞击毁伤效应研究[C]∥第一届全国超高速碰撞会议论文集. 绵阳: 中国空气动力研究与发展中心, 2013: 151−157.
[17]	张浩, 张庆明. 铝弹丸超高速撞击混凝土介质冲击熔化研究[C]//北京力学会第20届学术年会论文集. 北京: 北京力学会, 2014: 268−269.
[18]	ANTOUN T H, GLENN L A, WALTON O R, et al. Simulation of hypervelocity penetration in limestone [J]. International Journal of Impact Engineering, 2006, 33(1−12): 45–52. DOI: 10.1016/j.ijimpeng.2006.09.009.
[19]	邓国强, 杨秀敏. 超高速武器对地打击效应数值仿真 [J]. 科技导报, 2015, 33(16): 65–71. DOI: 10.3981/j.issn.1000-7857.2015.16.010. DENG G Q, YANG X M. Numerical simulation of damage effect of hyper velocity weapon on ground target [J]. Science and Technology Review, 2015, 33(16): 65–71. DOI: 10.3981/j.issn.1000-7857.2015.16.010.
[20]	张凤国, 李维新, 洪涛, 等. 超高速钨合金长杆弹对混凝土侵彻及损伤破坏的数值分析 [J]. 弹道学报, 2008, 30(3): 64–67, 74. ZHANG F G, LI W X, HONG T, et al. Numerical simulation for damage and penetration of concrete driven by long-rod projectile of tungsten alloy under super-high speed [J]. Journal of Ballistics, 2008, 30(3): 64–67, 74.
[21]	ZHOU L, WEN H M. A new dynamic plasticity and failure model for metals [J]. Metals, 2019, 9(8): 905. DOI: 10.3390/met9080905.
[22]	HERRMANN W. Constitutive equation for the dynamic compaction of ductile porous materials [J]. Journal of Applied Physics, 1969, 40(6): 2490–2499. DOI: 10.1063/1.1658021.
[23]	XU H, WEN H M. A computational constitutive model for concrete subjected to dynamic loadings [J]. International Journal of Impact Engineering, 2016, 91: 116–125. DOI: 10.1016/j.ijimpeng.2016.01.003.
[24]	ZHAO F Q, WEN H M. Effect of free water content on the penetration of concrete [J]. International Journal of Impact Engineering, 2018, 121: 180–190. DOI: 10.1016/j.ijimpeng.2018.06.007.
[25]	ZHANG C, SUO T, TAN W L, et al. An experimental method for determination of dynamic mechanical behavior of materials at high temperatures [J]. International Journal of Impact Engineering, 2017, 102: 27–35. DOI: 10.1016/j.ijimpeng.2016.12.002.
[26]	WANG C X, SUO T, LI Y L, et al. A new experimental and numerical framework for determining of revised J-C failure parameters [J]. Metals, 2018, 8(6): 396. DOI: 10.3390/met8060396.
[27]	钱秉文, 周刚, 李进, 等. 钨合金弹体超高速撞击混凝土靶成坑特性研究 [J]. 北京理工大学学报, 2018, 38(10): 1012–1017. DOI: 10.15918/j.tbit1001-0645.2018.10.004. QIAN B W, ZHOU G, LI J, et al. Study of the crater produced by hypervelocity tungsten alloy projectile into concrete target [J]. Transactions of Beijing Institute of Technology, 2018, 38(10): 1012–1017. DOI: 10.15918/j.tbit1001-0645.2018.10.004.
[28]	钱秉文, 周刚, 李进, 等. 钨合金柱形弹超高速撞击水泥砂浆靶的侵彻深度研究 [J]. 爆炸与冲击, 2019, 39(8): 083301. DOI: 10.11883/bzycj-2019-0141. QIAN B W, ZHOU G, LI J, et al. Penetration depth of hypervelocity tungsten alloy projectile penetrating concrete target [J]. Explosion and Shock Waves, 2019, 39(8): 083301. DOI: 10.11883/bzycj-2019-0141.
[29]	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.