PELE侵彻金属靶破碎效应的相似分析

徐立志; 韩志远; 周峰; 胖世铭; 杜忠华; 高光发

doi:10.11858/gywlxb.20220662

PELE侵彻金属靶破碎效应的相似分析

doi: 10.11858/gywlxb.20220662

徐立志^{1, 2,},
韩志远³,
周峰¹,
胖世铭¹,
杜忠华^1,*, ,,
高光发¹

1.
南京理工大学机械工程学院, 江苏南京　210094
2.
宁波大学冲击与安全工程教育部重点实验室, 浙江宁波　315211
3.
北京航天长征飞行器研究所, 北京 100076

基金项目: 国家自然科学基金（12202207，12172179，12102201）；江苏省自然科学基金（BK20220968）；国家博士后基金（2022M711623）；宁波大学冲击与安全工程教育部重点实验室开放基金（CJ202201）

详细信息

作者简介:
徐立志（1990-），男，博士，主要从事高效毁伤与防护技术研究. E-mail：xulznjust@163.com

通讯作者:
杜忠华（1971-），男，博士，研究员，主要从事智能毁伤与防护技术研究. E-mail：duzhonghua@aliyun.com

中图分类号: O383
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出版历程
- 收稿日期: 2022-09-20
- 修回日期: 2022-11-13
- 录用日期: 2023-01-09
- 网络出版日期: 2023-02-28
- 刊出日期: 2023-02-05

Similar Analysis of PELE Penetrating Metal Target Fragmentation Effect

XU Lizhi^{1, 2
,},
HAN Zhiyuan³,
ZHOU Feng¹,
PANG Shiming¹,
DU Zhonghua^{1,*
, ,},
GAO Guangfa¹

1.
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
2.
Key Laboratory of Impact and Safety Engineering, Ministry of Education, Ningbo University, Ningbo 315211, Zhejiang, China
3.
Beijing Institute of Space Long March Vehicle, Beijing 100076, China

摘要

摘要: 为了研究横向效应增强型侵彻体（penetrator with enhanced lateral effects, PELE）侵彻金属靶板破碎效应的相似规律，选取PELE的壳体破碎长度和靶后破片散布半径作为衡量PELE破碎效应的两个物理参量，基于量纲理论对PELE破碎效应问题进行相似分析，应用AUTODYN软件开展了4组相似模型数值模拟，并进行了两组相似模型验证试验。研究结果表明：通过相似理论分析，确定了PELE破碎效应满足严格的几何相似律。在800～2000 m/s撞击速度范围内，归一化处理的壳体破碎长度和靶后破片散布半径数值模拟结果及试验结果与几何尺寸无关，仅随撞击速度的提升呈线性增长，从而证明了PELE侵彻金属靶的破碎效应满足几何相似律。
- 横向效应增强型侵彻体 /
- 侵彻 /
- 破碎效应 /
- 量纲分析 /
- 相似律
Abstract: To study similar law of the fragmentation effect of penetrator with enhanced lateral effects (PELE) penetrating a metal target plate, breaking length of the PELE jacket and scattering radius of the fragments behind target are selected as two physical parameters to measure the fragmentation effect of PELE. A similar analysis on the fragmentation effect of PELE was conducted based on dimensional theory. Four groups of scaling model simulations were carried out using AUTODYN software, and two groups of scaling model verification tests were done. It is determined that the fragmentation effect of PELE satisfies geometric similar law through the similar theory analysis, and in the range of 800–2000 m/s impact velocity, the normalized breaking length of jacket and dispersion radius of fragments both increase linearly with the impact velocity in the simulation and test results, which proves that the fragmentation effect of PELE penetrating the metal target satisfies the geometric similarity law.
- penetrator with enhanced lateral effects /
- penetration /
- fragmentation effect /
- dimensional analysis /
- similarity law

HTML全文

图 1 PELE侵彻金属靶板模型

Figure 1. Simulation model of PELE penetrating metal target

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图 2 靶后破片速度的模拟与试验结果对比

Figure 2. Comparison of simulation and test results of fragmentation velocities behind target

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图 3 PELE破碎形态的模拟与试验结果对比

Figure 3. Comparison of simulation and test results of PELE broken form

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图 4 不同比例模型中壳体破碎长度随撞击速度的变化

Figure 4. Variation of breaking length of jacket with impact velocity in different scale models

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图 5 归一化壳体破碎长度随撞击速度的变化

Figure 5. Variation of normalized breaking length of jacket with impact velocity in different scale models

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图 6 4种比例模型得到的PELE破片散布情况

Figure 6. Dispersion of PELE fragments obtained by four scale models

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图 7 不同比例模型中破片散布半径随撞击速度的变化

Figure 7. Variation of fragment dispersion radius with impact velocity in different scale models

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图 8 归一化破片散布半径随撞击速度的变化

Figure 8. Variation of normalized fragment dispersion radius with impact velocity

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图 9 破片在后效靶的散布情况

Figure 9. Distribution of fragments on the aftereffect target

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图 10 破片散布直径与撞击速度关系的试验结果

Figure 10. Test results of the relationship between fragment dispersion diameter and impact velocity

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表 1 PELE和靶板材料模型参数

Table 1. Material model parameters of PELE and metal target

Component	ρ/(g·cm⁻³)	Grüneisen coefficient	C₁/(km·s⁻¹)	S₁	Shear modulus/GPa	Yield stress/GPa	Plastic strain
Jacket (D-180 K)	18.000	0	4.03	1.237	139.0	1.50
Filling (A-G3)	2.650	1.97	5.24	1.400	27.5	0.30
Steel target (XC 48)	7.823	0	4.57	1.490	77.0	0.80	1.2
Aluminum target (A-U4G)	2.800	2.0	5.20	1.360	26.7	0.40	1.2

Component	Principal tensile failure stress/GPa	Principal tensile failure strain	Crack softening	Fracture energy/(J·m⁻²)	Stochastic failure	Stochastic variance	Erosion strain
Jacket (D-180 K)	2.8	0.035	Yes	45	Yes	36.65	0.6
Filling (A-G3)	0.5		No		No		0.8
Steel target (XC 48)			No		No
Aluminum target (A-U4G)			No		No

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表 2 不同比例模型的几何参数

Table 2. Geometric parameters of different scale model

λ	d₁/mm	d₂/mm	L/mm	l/mm	D/mm	H/mm	s/mm	v/(m·s⁻¹)
1	5	3	25	22.5	10	1.5	0.125	800–2000
2	10	6	50	45.0	20	3.0	0.250
3	15	9	75	67.5	30	4.5	0.500
4	20	12	100	90.0	40	6.0	0.750

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表 3 PELE弹丸和靶板的几何尺寸

Table 3. Geometric dimension of PELE projectile and target plate

λ	d₁/mm	d₂/mm	L/mm	l/mm	H/mm	v/(m·s⁻¹)
1	10	7	25	22.5	3	800–1600
2	20	14	50	90.0	6	800–1600

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