柱状装药预制破片缩比战斗部爆炸冲击波和破片的作用时序

夏冰寒; 王金相; 周楠; 陈兴旺; 卢孚嘉

doi:10.11858/gywlxb.20190780

柱状装药预制破片缩比战斗部爆炸冲击波和破片的作用时序

doi: 10.11858/gywlxb.20190780

夏冰寒^1,,
王金相^1,*, ,,
周楠²,
陈兴旺¹,
卢孚嘉³

1.
南京理工大学瞬态物理国家重点实验室，江苏南京　210094
2.
南京森林警察学院，江苏南京　210023
3.
北京北方车辆集团有限公司，北京　100072

基金项目: 国家自然科学基金（11672138，11602113）；江苏省自然科学基金（BK20161055）

详细信息

作者简介:
夏冰寒(1995－)，男，硕士研究生，主要从事毁伤与防护理论与技术研究.E-mail: 117121011409@njust.edu.cn

通讯作者:
王金相(1978－)，男，博士，研究员，主要从事爆炸与冲击动力学研究. E-mail: wjx@njust.edu.cn

中图分类号: E932.4; O382.1
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出版历程
- 收稿日期: 2019-05-17
- 修回日期: 2019-05-28

Blast Wave and Time Sequence of Prefabricated Fragments for Scaled Warhead with Cylindrical Charge

1.
National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
2.
Nanjing Forestpolice College, Nanjing 210023, Jiangsu, China
3.
Beijing North Vehicle Group Corporation, Beijing 100072, China

摘要

摘要: 针对柱状装药的周向预制破片战斗部，结合无量纲分析方法和爆炸驱动理论，确定了影响破片和冲击波相遇位置的关键参数，给出了由缩比战斗部推广预测原型战斗部爆炸产生的破片冲击波作用时序的方法。采用ANSYS/LS-DYNA有限元软件进行数值模拟，对比验证了理论分析和数值试验结果，分析了战斗部缩比比例对冲击波和破片作用时序的影响。结果表明：缩比模型与原型战斗部爆炸产生的破片和冲击波的相遇位置之比和相遇时间之比主要取决于两模型的质量比，在不考虑破片速度衰减时，两模型中载荷相遇位置之比和相遇时间之比等于其质量比的0.33次方。受破片速度衰减影响，该方法仅适用于质量缩比不小于0.2的模型。
- 柱状装药战斗部 /
- 预制破片战斗部 /
- 缩比 /
- 冲击波 /
- 破片 /
- 作用时序
Abstract: In order to explore the influence of the scale effects on the timing of fragmentation and shock wave, the key parameters affecting the location of fragmentation and shock wave are determined by the dimensionless analysis and explosion theory for the prefabricated fragment warhead. This paper proposes a method to predict the timing relationship of the prototype warhead fragmentation and blast wave by the scale ratio warhead, and establishes the model of the warhead under different scale ratios. The numerical simulation is carried out with ANSYS/LS-DYNA finite element software. Based on the theoretical and numerical results, we analyze the scale effects of the warhead on the timing of shock waves and fragmentation. The results show that the ratio of the encounter position of fragments and shock waves produced by the scaled model and the prototype model depends on the mass ratio of the two models. Without considering the velocity attenuation of fragments, the ratio of the encounter position in two models is equal to the 0.33 power of the mass ratio. Due to the effects of fragmentation velocity attenuation, the method is applicable to models with a mass reduction ratio of not less than 0.2.
- columnar charge warhead /
- prefabricated fragment warhead /
- scale ratio /
- shock waves /
- fragment /
- action time sequence

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图 1 战斗部模型示意图

Figure 1. Schematic diagram of the warhead model

下载: 全尺寸图片幻灯片

图 2 有限元模型

Figure 2. Finite element analysis model

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图 3 模型2中破片和冲击波的传播

Figure 3. Fragmentation and shock wave trajectory in Model 2

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图 4 模型2中破片和冲击波的传播距离与时间的关系

Figure 4. Propagation of blast wave and fragments as a function of time in air in Model 2

下载: 全尺寸图片幻灯片

表 1 破片和冲击波相遇距离问题中相关物理量及其单位和量纲

Table 1. Parameters and their units and dimensions related to the location of the two encounters

Object	Parameters	Symbol	Unit	Dimension
Fragment	Mass	m_f	kg	M
Explosive	Mass	m_e	kg	M
	Density	ρ_e	kg∙m^–3	ML^–3
	Chemical energy released per unit mass of explosive	E_e	m²∙s^–2	L²T^–2
	Expansion index	γ_e	1	SI
Air	Initial pressure	p_a	kg∙m^–1∙s^–2	ML^–1T^–2
	Initial density	ρ_a	kg∙m^–3	ML^–3
	Adiabatic index	γ_a	1	SI

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表 2 缩比战斗部尺寸

Table 2. Scaled warhead size

Model	r/cm	h/cm	d/cm	m_e/g	m_f/g	Mass shrinkage ratio	Dimension shrinkage ratio
1	1.966	5.023	0.126	100	62.92	0.1	0.464
2	2.476	6.328	0.159	200	125.83	0.2	0.585
3	2.835	7.244	0.181	300	188.75	0.3	0.669
4	3.120	7.972	0.200	400	251.67	0.4	0.737
5	3.931	10.046	0.252	800	503.34	0.8	0.928
6	4.237	10.822	0.271	1 000	629.15	1.0	1.000

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表 3 TNT炸药材料参数及JWL状态方程参数

Table 3. Parameters of TNT material and JWL equation of state

ρ/(kg∙m^–3)	D/(m∙s^–1)	p_CJ/GPa	E/(GJ∙m^–3)	A₁/GPa	B₁/GPa	R₁	R₂	ω	V
1 640	6 930	19.4	6.2	309	3.09	4.485	0.79	0.30	1

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表 4 空气材料参数及状态方程参数

Table 4. Equation of state parameters of air

ρ/(kg∙m^–3)	E/MPa	C₀/MPa	C₁	C₂	C₃	C₄	C₅	C₆
1.25	0.25	–0.1	0	0	0	0	0.4	0

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表 5 破片材料参数及状态方程参数

Table 5. Equation of state parameters of fragments

ρ/(kg∙m^–3)	ν	σ/MPa	${\dot\varepsilon } $
7.83	0.3	1 075	0.9

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表 6 理论结果与仿真结果对比

Table 6. Comparison of theoretical and simulation results

Model	Mass reduction ratio	${\left( {\dfrac{m}{M}} \right)^{0.33}}$	Meeting time			Meeting distance
Model	Mass reduction ratio	${\left( {\dfrac{m}{M}} \right)^{0.33}}$	Value/µs	Reduction	Deviation/%	Value/cm	Reduction	Deviation/%
1	0.1	0.464	140	0.403	13.1	27	0.397	14.4
2	0.2	0.585	188	0.531	9.2	36	0.529	9.5
3	0.3	0.669	229	0.642	4.0	45	0.651	2.7
4	0.4	0.737	270	0.763	3.5	52	0.764	3.6
5	0.8	0.929	334	0.941	1.3	64	0.945	1.7
6	1.0	1.000	355	1.000		68	1.000

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