冲击波作用下引信传爆序列殉爆的数值模拟

肖向东; 肖有才; 蒋海燕; 范晨阳; 王志军

doi:10.11858/gywlxb.20210706

冲击波作用下引信传爆序列殉爆的数值模拟

doi: 10.11858/gywlxb.20210706

1.
中北大学机电工程学院，山西太原　030051
2.
西安近代化学研究所，陕西西安　710065
3.
中国兵器工业集团公司西安机电信息技术研究所机电动态控制重点实验室，陕西西安　710065

基金项目: 国家自然科学基金（11802273）；山西省青年科学基金（201901D211279）；国防科工局技术基础科研项目（JCKY2XXXXX7B0XX）

详细信息

作者简介:
肖向东（1994－），男，硕士研究生，主要从事爆炸与冲击相关问题研究. E-mail：theexpectedfuture@126.com

通讯作者:
肖有才（1988－），男，博士，副教授，主要从事材料动态力学、损伤力学、爆炸与冲击等相关研究. E-mail：xiaoyoucai@nuc.edu.cn

中图分类号: O381
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出版历程
- 收稿日期: 2021-01-10
- 修回日期: 2021-02-02

Numerical Simulation and Analysis of Fuze Explosive Trains under Shock Waves

1.
School of Mechanical and Electrical Engineering, North University of China, Taiyuan 030051, Shanxi, China
2.
Xi’an Modern Chemistry Research Institute, Xi’an 710065, Shaanxi, China
3.
Science and Technology on Electromechanical Dynamic Control Laboratory, Xi’an Institute of Electromechanical Information Technology, China North Industries Group Corporation, Xi’an 710065, Shaanxi, China

摘要

摘要: 为研究不敏感弹药或不敏感引信在战备和后勤贮存过程中的殉爆现象，利用装填JH-14C传爆药的某引信传爆序列，开展了冲击波作用下的殉爆数值模拟研究，获得了引信传爆序列爆轰波成长历程、传播规律以及临界殉爆距离，建立了冲击波能量判据，并给出了殉爆条件。结果表明：冲击波由传爆药左上向右下传播，在最右下端面处起爆，引信传爆序列的临界殉爆距离为9.7 mm；当作用冲击波能量大于临界起爆能量时，引信传爆序列发生殉爆。
- 引信传爆序列 /
- 殉爆 /
- 爆轰波 /
- 冲击波能量
Abstract: In order to resolve the problem of martyred detonation of insensitive munitions or fuzes during combat readiness and logistical storage, numerical simulation of detonation sequence of the fuze under shock wave was carried out by using nonlinear finite element method. The growth course, propagation law and critical detonation distance of the fuze explosive train were obtained. And the criterion of shock wave energy was established and the condition of sympathetic detonation was given. The results showed that the detonation wave propagates from the top left to the bottom right and explodes at the bottom right, and the critical sympathetic detonation distance of the fuze explosive train is 9.7 mm. When the shock wave energy was greater than the critical detonation energy, the sympathetic detonation occurs in the fuze explosive train.
- fuze explosive train /
- sympathetic detonation /
- detonation wave /
- shock wave energy

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图 1 结构简图

Figure 1. Structure diagram

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图 2 位置分布与有限元计算模型

Figure 2. Location distribution and finite element model

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图 3 有限元模型与实验装置

Figure 3. Finite element model and experimental apparatus

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图 4 见证板变形

Figure 4. Witness plate deformation

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图 5 凹坑深度

Figure 5. Cave depths curve

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图 6 距离9.0 mm 时A1殉爆压力云图

Figure 6. Pressure nephogram in the A1 at 9.0 mm

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图 7 距离9.7 mm时不同时刻A3中传爆药的变形和等压线

Figure 7. Deformation and isobaric lines of the explosive in the A3 at different times from 9.7 mm

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图 8 距离为9.7 mm时A1和A3中的压力曲线

Figure 8. Column of pressure curves in the A1 and A3 at 9.7 mm

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图 9 A1中的压力曲线

Figure 9. Column of pressure curves in the A1

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图 10 引信传爆序列中高斯点能量

Figure 10. Gauss points energy of the fuze explosive train

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表 1 Comp B炸药的High Explosive Burn本构模型参数和JWL状态方程参数^[9–10]

Table 1. High Explosive Burn constitutive model parameters and JWL equation parameters for Comp B^[9–10]

$\;\rho $/(g·cm⁻³)	S₁	$\gamma $₀	A₀/GPa	B₀/GPa	R₁	R₂	$\omega $	p₀/GPa
1.717	0.798	0.33	524.23	767	4.2	1.1	0.34	8.5

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表 2 JH-14C的Lee-Tarve参数^[11]

Table 2. Lee-Tarve parameters of JH-14C^[11]

JWL equation parameters for unreacted explosive and reaction product
State	A₀/GPa	B₀/GPa	R₁	R₂	$\omega $	G/GPa	$\sigma_{\rm{y}}$/MPa	$\;\rho $/(g·cm⁻³)	p₀/GPa	D/(km·s⁻¹)	p/GPa
Unreacted explosive	7 781.0	−5.31	11.3	1.13	0.8938	3.5	200	1.65
Reaction product	592.7	10.51	4.4	1.20	0.330 0				11.56	8.19	27.67

Rate of reaction
a b c d e g x y z
0.02 0.667 0.667 0.350 0.667 0.667 7.0 2.0 3.0
F_igmax F_G_1max F_G_2min I/μs⁻¹ G₁/(MPa·μs⁻¹) G₂/(MPa·μs⁻¹)
0.022 1 0 4 × 10⁶ 1.4 × 10⁷ 7 × 10⁸

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表 3 紫铜、2024铝与4340钢的Johnson-Cook本构模型参数^[12–13]

Table 3. Johnson-Cook constitutive model parameters for copper, 2024 aluminum and 4340 steel^[12–13]

Material	$\;\rho $/(g·cm⁻³)	G/GPa	A/MPa	B/MPa	n	c	m	T_m/K	T_r/K	C_p/(J·kg⁻¹·K⁻¹)
Copper	8.960	46.0	90	292	0.31	0.025	1.09	1356	300	383
2024 aluminum	2.785	28.6	265	426	0.34	0.015	1.00	445	300	875
4340 steel	7.830	77.0	792	510	0.26	0.014	1.03	1793	300	477

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表 4 紫铜、2024铝、4340钢的Grüneisen状态方程参数^[12–13]

Table 4. Grüneisen equation of state parameters of copper, 2024 aluminum and 4340 steel^[12–13]

Material	C/(km·s⁻¹)	S₁	$\gamma $₀
Copper	3.940	1.489	1.99
2024 aluminum	5.328	1.338	2.00
4340 steel	4.569	1.490	2.17

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表 5 不同距离下殉爆数值模拟结果

Table 5. Numerical simulation results at different distances

Distance/mm	Numerical simulation results
Distance/mm	A1	A2	A3
8.5	Detonation	Detonation	Detonation
9.0	Detonation	Detonation	Detonation
9.7	Detonation	Detonation	Detonation
10.0	Partial reaction	Partial reaction	No detonation
10.3	No detonation	No detonation	No detonation
10.5	No detonation	No detonation	No detonation

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参考文献(16)

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