钨球对高硬度钢斜侵彻效应

张健; 徐豫新; 刘铁磊; 张鹏

doi:10.11883/bzycj-2021-0427

钨球对高硬度钢斜侵彻效应

doi: 10.11883/bzycj-2021-0427

张健^1,,
徐豫新^1, ,,
刘铁磊¹,
张鹏²

1.
北京理工大学爆炸科学与技术国家重点实验室，北京 100081
2.
中北大学机电工程学院，山西太原 030051

基金项目: 基础加强计划重点基础研究项目(2019); 重庆市自然科学基金（cstc2020jcyj-msxmX0722）

详细信息

作者简介:
张　健（1995－　），男，硕士研究生，zhangjian8791@163.com

通讯作者:
徐豫新（1982－　），男，博士，副教授，xuyuxin@bit.edu.cn

中图分类号: O385
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- 被引次数: 0
出版历程
- 收稿日期: 2021-10-18
- 修回日期: 2021-11-01
- 网络出版日期: 2021-12-14
- 刊出日期: 2022-02-05

Oblique penetration effect of a tungsten ball on high hardness steel

1.
State Key Laboratory of Explosion Science and Technology，Beijing Institute of Technology, Beijing 100081, China
2.
College of Mechatronics Engineering, North University of China, Taiyuan 030051, Shanxi China

摘要

摘要: 为研究高硬度钢板抗不同着角钨球的侵彻性能及破坏模式，通过弹道枪进行了$ \varnothing $8 mm、$ \varnothing $11 mm钨合金球形破片以0°、20°、40°着角撞击厚度为6 mm、8 mm的高硬度钢板试验，得到了极限贯穿速度v₅₀；分析了钨球轴向径向变形及靶板失效模式与撞击速度的关系，发现高硬度钢板失效模式主要为压缩开坑破坏和沿厚度方向剪切破坏。采用有限元方法对试验进行了模拟，验证了数值模型及参数的合理性，并运用数值模拟方法研究了撞击着角对靶板吸能模式影响，结合试验数据，修正已有极限贯穿速度计算公式。结果表明：随侵彻着角增大，极限贯穿速度提高，且着角越大，极限贯穿速度增长越快；随着角增大，靶板吸能模式逐渐由压缩开坑向剪切冲塞过渡，且着角大于50°时，剪切冲塞耗能将超过压缩开坑耗能；修正后极限贯穿速度计算公式适用范围更广、精度更高，具有较好工程应用价值。
- 斜侵彻 /
- 弹道极限 /
- 钨合金球形破片 /
- 高硬度钢
Abstract: In order to study the penetration performance and failure modes of high-hardness steel plates against tungsten balls with different angles, a ballistic gun was used to carry out $ \varnothing $8 mm, $ \varnothing $11 mm tungsten alloy spherical fragments at 0°, 20°, 40° angles to impact the thickness of 6 mm, 8 mm. In the hardness steel plate test, the limit penetration velocity (v₅₀) of the fragments impacting the steel plate was obtained; the relationships between the axial and radial deformation of the tungsten ball after the impact and the failure mode of the target plate and the impact velocity were analyzed. It is found that the failure mode of the high hardness steel plate is mainly the compression opening. For the pit failure and shear failure along the thickness direction, the shear fracture increases as the angle increases. The experiment was simulated by the method of finite element simulation. The simulation results were compared with the test results. The damage morphology of the target plate and the limit penetration velocity were in good agreement. The validity of the numerical simulation model and parameters was verified, and the numerical simulation method was used. The influence of the impact angle on the energy absorption mode of the target plate was studied, and the existing calculation formula of the limit penetration velocity was revised based on the experimental data. The results show that as the penetration angle increases, the limit penetration velocity increases, and the larger the penetration angle, the faster the limit penetration velocity increases; the revised limit penetration velocity calculation formula has a wider application range and higher accuracy, and has better engineering applications. As the angle increases, the energy absorption mode of the target plate gradually changes from compression opening to shearing plugging, and when the angle exceeds 50°, the energy consumption of shearing plugging will exceed the energy consumption of compression opening.
- oblique penetration /
- ballistic limit /
- tungsten alloy spherical fragment /
- high hardness steel

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图 1 试验装置布设

Figure 1. Schematic of setup for test

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图 2 22SiMn2TiB静态拉伸试验前后试样对比

Figure 2. Comparison of 22SiMn2TiB samples before and after static tensile test

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图 3 0°着角试验典型破坏形貌

Figure 3. Typical failure morphologies of 0 ° impact angle test

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图 4 钨球变形率随撞击速度变化趋势

Figure 4. Deformation ratio of tungsten ball varied with impact velocity

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图 5 20°着角试验靶板典型破坏形貌

Figure 5. Typical failure morphologies of targets with 20° angle

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图 6 回收塞块和钨球典型破坏形貌

Figure 6. Typical failure morphologies of Plug block and recovered tungsten ball

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图 7 40°着角试验靶板典型破坏形貌

Figure 7. Typical failure morphologies of targets with 40° angle

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图 8 回收塞块和钨球典型破坏形貌

Figure 8. Typical failure morphologies of plug block and recovered tungsten ball

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图 9 撞击靶板贯穿极限速度与着角关系曲线

Figure 9. Ultimate penetration velocity-impact angle curve

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图 10 数值模型

Figure 10. Simulation model

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图 11 靶板破坏模式数值模拟与试验对比

Figure 11. Comparison of target failure modes between simulation and test

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图 12 斜侵彻过程典型von Mises应力变化

Figure 12. Typical von Mises stress variation during oblique penetration

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图 13 靶板吸能随撞击着角变化趋势

Figure 13. Variation trend of energy absorption of target plate with impact angle

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图 14 试验结果和计算结果对比

Figure 14. Comparison between test and calculated results

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表 1 试验用93W4Ni3Fe合金破片材料基本力学性能

Table 1. Basic mechanical properties of missile target materials for test

材料	ρ/(g·cm⁻³)	E/GPa	σ_y/MPa	σ_s/MPa	δ/%	H_RC
93W4Ni3Fe	17.7	365	731	955	19～22	29

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表 2 试验用22SiMn2TiB靶板材料基本力学性能

Table 2. Basic mechanical properties of 22SiMn2TiB target material for test

材料	h/mm	试验编号	ρ/( g·cm⁻³)	E/GPa	σ_y/MPa	σ_s/MPa	δ/%	H_RC
22SiMn2TiB	6	Test 1	7.781	197.203	1083.0	1516.5	12.60	46.8
		Test 2		197.342	1068.5	1516.9	12.64	46.4
		Test 3		196.983	1081.6	1514.3	12.16	46.5
		Test 4		186.685	1080.4	1508.8	12.92	46.4
	8	Test 1	7.785	186.746	1110.2	1569.9	14.40	46.2
		Test 2		188.351	1080.5	1563.1	14.52	46.2
		Test 3		192.603	1113.7	1574.1	15.92	46.0
		Test 4		190.662	1072.4	1563.3	14.84	46.8
平均			7.783	192.070	1086.3	1540.9	13.75	46.4

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表 3 钨球撞击22SiMn2TiB钢板的极限贯穿速度

Table 3. Expermental results of tungsten balls impacting 22SiMn2TiB steel plates

h/mm	d/mm	θ/(°)	v/(m·s⁻¹)	是否穿透	v₅₀/( m·s⁻¹)	h/mm	d/mm	θ/(°)	v/(m·s^-1)	是否穿透	v₅₀/( m·s^-1)
6.23	8.00	0	434.15	否	480.80	8.27		0	460.83	否	615.47
			566.04	是					561.80	否
			518.13	是					569.26	否
			466.56	否					608.52	否
			495.05	是					622.41	是
		20	574.71	是	485.85				607.45	是
			483.09	否			8	20	728.16	是	624.52
			488.60	是					702.58	是
		40	468.02	否	619.68				692.84	是
			636.94	是					614.75	否
			602.41	否					560.75	否
6.23	11.06	0	361.01	否	376.91				563.27	否
			371.75	否					634.29	是
			369.46	否				40	649.35	否	798.02
			406.50	是					755.67	否
		20	427.96	是	389.13				821.92	是
			355.03	否					808.63	是
			404.31	是					740.74	否
			363.2	否					787.40	否
			390.63	是		8.27	11.06	0	459.49	是	444.00
		40	574.71	是	481.74				428.57	否
			460.12	否					473.19	是
			503.36	是				20	549.45	是	475.87
			452.49	否					461.54	否
									510.20	是
									490.20	是
								40	606.06	是	575.6
									561.80	否
									589.39	是

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表 4 弹靶材料Johnson-Cook模型参数

Table 4. Johnson-Cook model parameters of 22SiMn2TiB steel and 93W4Ni3Fe

材料	ρ/(g·cm⁻³)	G/GPa	A/GPa	B/GPa	C	M	n
22SiMn2TiB	7.78	81.8	1.086	0.51	0.014	1.03	0.26
93W4Ni3Fe	17.7	160	0.731	1.67	0.03	0.82	0.91

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表 5 弹靶材料状态方程参数^[12-13]

Table 5. State equation parameters of 22SiMn2TiB steel and 93W4Ni3Fe^[12-13]

材料	c/(m·s⁻¹)	S₁	S₂	S₃	γ₀	A
22SiMn2TiB	4600	1.730	0	0	1.67	0.46
93W4Ni3Fe	4046	1.268	0	0	1.58	0.46

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表 6 撞击靶板贯穿极限速度的数值模拟与试验值对比

Table 6. Comparison of ultimate penetration velocity between simulation and test

θ/(°)	钨球初速/（m·s⁻¹）	是否穿透	v₅₀/(m·s⁻¹)
θ/(°)	钨球初速/（m·s⁻¹）	是否穿透	数值模拟	试验	相对误差/%
0	480	是	475	480.8	1.14
0	470	否	475	480.8	1.14
20	490	是	485	485.8	0.16
20	480	否	485	485.8	0.16
40	625	是	619.5	619.6	0.02
40	614	否	619.5	619.6	0.02

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表 7 钨球撞击靶板过程能量变化

Table 7. Energy change during tungsten ball impacting target plate

θ/(°)	E₀/kJ	E₁/kJ	E₂/kJ	(ΔE_1-0/E₀)/%	(ΔE_2-1/E₀)/%
0	2.72	1.03	0.74	62.13	10.51
10	2.78	1.13	0.72	59.35	14.86
20	2.84	1.20	0.58	57.75	21.83
30	3.54	1.54	1.05	56.50	13.84
40	4.62	2.32	1.03	49.78	27.92
50	6.39	4.26	2.05	33.33	34.59

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表 8 撞击靶板贯穿极限速度的试验与理论值对比

Table 8. Comparison of ultimate penetration velocity between experimental and theoretical value

钨球直径/mm	靶板厚度/mm	着角/(°)	v₅₀/(m·s⁻¹)		误差/%
钨球直径/mm	靶板厚度/mm	着角/(°)	试验	理论	误差/%
8.00	6.23	20	485.85	474.03	−3.69
11.06	8.27	40	575.60	592.01	2.85
6.84	6.75	0	610.00	604.94	−0.83
8.12	6.75	0	520.30	513.08	−1.39

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表 9 撞击靶板贯穿极限速度的计算值与理论值对比

Table 9. Comparison of ultimate penetration velocity between numberical and theoretical value

钨球直径/mm	靶板厚度/mm	着角/(°)	v₅₀/(m·s⁻¹)		误差/%
钨球直径/mm	靶板厚度/mm	着角/(°)	计算	理论	误差/%
8.00	4.00	0	309.50	309.89	0.12
8.00	3.00	0	195.00	235.11	20.57
8.00	2.00	0	193.00	159.30	17.46
8.00	6.00	10	480.00	464.26	−3.28
8.00	6.00	30	542.00	526.51	−2.86
8.00	6.00	50	730.00	704.89	−3.44

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