高空强爆炸X射线辐照铝靶板动响应的数值模拟

余润洲; 张昆; 汤文辉

doi:10.11883/bzycj-2024-0082

高空强爆炸X射线辐照铝靶板动响应的数值模拟

doi: 10.11883/bzycj-2024-0082

国防科技大学理学院，湖南长沙 410073

详细信息

作者简介:
余润洲（2001－　），男，硕士研究生，yurunzhou19@nudt.edu.cn

通讯作者:
张　昆（1989－　），男，博士，讲师，zhangkun1989@nudt.edu.cn

中图分类号: O347.3; O434.19
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- 文章访问数: 69
- HTML全文浏览量: 9
- PDF下载量: 48
- 被引次数: 0
出版历程
- 收稿日期: 2024-03-27
- 修回日期: 2024-05-30
- 网络出版日期: 2024-05-30

A dynamic response simulation of aluminum plate target induced by high-altitude nuclear detonation X-ray

College of Science, National University of Defense Technology, Changsha 410073, Hunan, China

摘要

摘要: 高空强爆炸所产生的X射线辐照至导弹壳体结构时产生的汽化反冲冲量（blow-off impulse，BOI）及热激波，能够引起目标的动响应破坏。现有的Whitener、BBAY和MBBAY理论模型仅能给出一维近似BOI值，无法处理复杂三维情况并给出对应的热激波峰值压力p，因此对该问题的研究非常依赖数值计算。利用X射线热激波数值计算程序TSHOCK3D对矩形铝靶板在0.1~3.0 keV范围的普朗克黑体温度和220~400 J/cm²辐射能通量下的汽化反冲冲量及峰值压力进行计算，并与理论模型作了对比分析。结果表明，TSHOCK3D程序可以可靠地给出结果，正辐照靶板中心处近似一维工况下的BOI与Whitener、BBAY和MBBAY三个理论模型下的BOI基本相符。通过单变量分析可得，靶板中BOI和峰值压力p均与入射能通量呈近似线性关系；而对于不同的黑体温度，BOI和峰值压力则在1.5~2 keV处存在极大值。
- X射线 /
- 汽化反冲冲量 /
- 热激波 /
- TSHOCK3D
Abstract: When X-rays generated by high-altitude nuclear detonation irradiates on the shell structure of missile, blow-off impulse (BOI) and thermal shock waves generated may produce dynamic response and damage on it. The existing three one-dimensional theoretical models, Whitener, BBAY, and MBBAY, can only provide approximate BOI values and accurate results of peak pressure and other information are inaccessible. Solving this problem requires numerical calculations based on real physical laws. The numerical simulation program TSHOCK3D for X-ray thermal excitation wave is used to calculate the BOI and peak pressure to make a comparative analysis. An aluminum plate with a length and width of 0.4 centimeters and a thickness of 0.1 centimeters is set as the target for X-ray radiation. The range of the working conditions is 0.1−3.0 keV for the Planck's blackbody temperatures and radiant energy flux are in the range of 220−400 J/cm². The results indicate that the TSHOCK3D can give the results effectively and reliably. The simulation results are consistent with the theoretical models mentioned above. The BOI and peak pressure are approximately linear with the energy flux, while the maximum value exist for different blackbody temperatures.
- X-ray /
- blow-off impulse /
- thermal shock wave /
- TSHOCK3D

HTML全文

图 1 X射线热激波产生原理示意图^[1]

Figure 1. Schematic of X-ray thermal shock wave generation^[1]

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图 2 计算流程图

Figure 2. Flowchart of the simulation

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图 3 靶板及X射线载荷示意图^[16]

Figure 3. Schematic of Target and X-ray loading^[16]

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图 4 100 ns时的能量沉积云图

Figure 4. Energy deposition contour at 100 ns

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图 5 二维及三维压力云图

Figure 5. 2D and 3D pressure contours

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图 6 TSHOCK3D计算结果与理论模型结果的对比

Figure 6. Comparison between TSHOCK3D calculation and theoretical models

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图 7 BOI与峰值压力计算结果

Figure 7. Results of BOI and peak pressure

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图 8 BOI和峰值压力随能通量的变化曲线

Figure 8. BOI and peak pressure varying with flux

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图 9 BOI和峰值压力随黑体温度的变化曲线

Figure 9. BOI and peak pressure varying with temperature

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表 1 不同核武器爆炸的α_i、$kT_i $虚拟参考值^[2]

Table 1. Reference values of α_i and kT_i for different nuclear explosions^[2]

爆炸类型	i	α_i	kT_i/keV
裂变武器	1	1.00	1.0
普通热核武器	1	0.30	0.8～1.0
	2	0.67	3.0～4.0
	3	0.03	12.0～14.0
增强辐射武器	1	0.05	0.8～1.0
	2	0.70	3.0～5.0
	3	0.25	13.0～14.0

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表 2 铝的相关参数^[19]

Table 2. Parameters of aluminum^[19]

弹性参数			塑性参数	物态方程参数
E/GPa	G/GPa	v	$ {\sigma }_{{\mathrm{y}}} $/GPa	$ {\rho }_{0} $/（g·cm⁻³）	$ {c}_{0} $/（m·s⁻¹）	s	E₀/（kJ·g）	$ {\varGamma }_{0} $
71.1	27.1	0.33	0.5	2.7	5400	1.35	10.89	2.13

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参考文献(22)

[1]	ZHANG K, TANG W H, FU K K. Modeling of dynamic behavior of carbon fiber-reinforced polymer (CFRP) composite under x-ray radiation [J]. Materials, 2018, 11(1): 143. DOI: 10.3390/ma11010143.
[2]	王建国. 高空核爆炸效应参数手册 [M]. 北京: 原子能出版社, 2010: 6–9.
[3]	REMO J L, FURNISH M D, LAWRENCE R J. Soft X-ray shock loading and momentum coupling in meteorite and planetary materials [J]. AIP Conference Proceedings, 2012, 1426(1): 879–882. DOI: 10.1063/1.3686418.
[4]	REMO J L, FURNISH M D, LAWRENCE R J. Plasma-driven Z-pinch X-ray loading and momentum coupling in meteorite and planetary materials [J]. Journal of Plasma Physics, 2013, 79(2): 121–141. DOI: 10.1017/s0022377812000712.
[5]	REMO J L, LAWRENCE R J, JACOBSEN S B, et al. High energy density soft X-ray momentum coupling to comet analogs for NEO mitigation [J]. Acta Astronautica, 2016, 129: 384–388. DOI: 10.1016/j.actaastro.2016.09.026.
[6]	REMO J L, FURNISH M D. Analysis of Z-pinch shock wave experiments on meteorite and planetary materials [J]. International Journal of Impact Engineering, 2008, 35(12): 1516–1521. DOI: 10.1016/j.ijimpeng.2008.07.075.
[7]	LIBERATORE S, GAUTHIER P, WILLIEN J L, et al. First indirect drive inertial confinement fusion campaign at laser megajoule [J]. Physics of Plasmas, 2023, 30(12): 122707. DOI: 10.1063/5.0176446.
[8]	HURRICANE O A, PATEL P K, BETTI R, et al. Physics principles of inertial confinement fusion and U. S. program overview [J]. Reviews of Modern Physics, 2023, 95(2): 025005. DOI: 10.1103/RevModPhys.95.025005.
[9]	DO A, CASEY D T, CLARK D S, et al. Measurements of improved stability to achieve higher fuel compression in ICF [J]. Physics of Plasmas, 2023, 30(11): 112703. DOI: 10.1063/5.0167424.
[10]	LONGLEY R W. Analytical relationships for estimating the effects of X-rays on materials: AFRPL-TR-74-52 [R]. 1974. DOI: 10.21236/ad0786926.
[11]	LAWRENCE R J. The equivalence of simple models for radiation-induced impulse [C]// SCHMIDT S C, DICK R D, FORBES J W, et al. Shock Compression of Condensed Matter-1991. Amsterdam: North Holland, 1992: 785–788. DOI: 10.1016/B978-0-444-89732-9.50179-5.
[12]	李清源, 王国庆, 吴军, 等. 脉冲电子束产生喷射冲量的实验研究 [J]. 爆炸与冲击, 1991, 11(4): 339–345. DOI: 10.11883/1001-1455(1991)04-0339-7.
[13]	LI Q Y, WANG G Q, WU J, et al. Experimental studies of blow-off impulse generated by a pulse electron beam [J]. Explosion and Shock Waves, 1991, 11(4): 339–345.
[14]	彭常贤, 胥永亮, 徐建波. 电子束辐照平板靶产生喷射冲量的实验研究 [J]. 高压物理学报, 1994, 8(1): 23–29. DOI: 10.11858/gywlxb.1994.01.004.
[15]	PENG C X, XU Y L, XU J B. Experimental studies of the blowoff impulses produced in the flat plate targets bombarded by electron beam [J]. Chinese Journal of High Pressure Physics, 1994, 8(1): 23–29.
[16]	张朝辉, 张思群, 任晓东, 等. 基于Z箍缩X射线源的热-力学效应实验 [J]. 爆炸与冲击, 2021, 41(9): 094101. DOI: 10.11883/bzycj-2021-0124. ZHANG Z H, ZHANG S Q, REN X D, et al. Experiments for thermomechanical effects based on Z-pinch X-ray sources [J]. Explosion and Shock Waves, 2021, 41(9): 094101. DOI: 10.11883/bzycj-2021-0124.
[17]	HUANG X, TANG W H, Jiang B H. A modified anisotropic PUFF equation of state for composite materials [J]. Journal of Composite Materials, 2012, 46(5): 499–506. DOI: 10.1177/0021998311415724.
[18]	张昆, 汤文辉, 冉宪文. X射线三维热力学效应模拟软件: CN2016SR110024 [P]. 2016.
[19]	WANG D W, GAO Y, WANG S, et al. Study on x-ray induced two-dimensional thermal shock waves in carbon/phenolic [J]. Materials, 2021, 14(13): 3553. DOI: 10.3390/ma14133553.
[20]	LIN P, CHEN R H, WANG D W. Studies on the thermodynamic properties of C/ph irradiated by intense electron beams [J]. Coatings, 2022, 12(8): 1128. DOI: 10.3390/coatings12081128.
[21]	汤文辉, 张若棋. 物态方程理论及计算概论 [M]. 2版. 北京: 高等教育出版社, 2008. TANG W H, ZHANG R Q. Introduction to theory and computation of equations of state [M]. 2nd ed. Beijing: Higher Education Press, 2008.
[22]	张昆. 各向异性复合材料的本构关系及其在X射线辐照下动力学响应的三维有限元模拟 [D]. 长沙: 国防科技大学, 2018. ZHANG K. Constitutive relationship of anisotropic composites and its application in a FEM simulation of the dynamic response within the X-ray radiation in 3D condition [D]. Changsha: National University of Defense Technology, 2018.