计及热传导影响对长杆弹侵彻陶瓷靶的数值分析

李芮宇; 孙宇新; 周玲; 孙其然; 赵亚运; 冯江拓

doi:10.11883/1001-1455(2017)02-0332-07

计及热传导影响对长杆弹侵彻陶瓷靶的数值分析

doi: 10.11883/1001-1455(2017)02-0332-07

1.
南京理工大学瞬态物理重点实验室，江苏南京 210094
2.
中国兵器科学研究院，北京 100000

详细信息

作者简介:
李芮宇(1991—)，男，博士研究生

通讯作者:
孙宇新，yxsun01@163.com

中图分类号: O385
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- 被引次数: 0
出版历程
- 收稿日期: 2015-09-25
- 修回日期: 2016-03-23
- 刊出日期: 2017-03-25

Influence of heat transfer on long-rod projectiles penetrating into ceramic targets

1.
National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
2.
China Academy of Ordnance Science, Beijing 100000, China

摘要

摘要: 采用有限元方法离散瞬态热传导方程，编写成侵彻过程热传导计算模块，并将之嵌入已有的冲击动力学程序中，然后运用于长杆弹在900~1 800 m/s着速范围内侵彻AD95陶瓷靶的数值分析，得到了符合物理事实的计算图像，所得的计算结果比采用传统的绝热模型得到的计算结果更符合实验结果。探讨了计及热传导效应对长杆弹侵彻AD95陶瓷靶数值模拟的影响：着速在900~1 350 m/s范围内时，计及热传导的数值计算所得侵深小于绝热模型计算结果；着速在在1 350~1 450 m/s范围内时，两种模型计算侵深接近；着速在在1 450~1 800 m/s范围内时，热传导模型计算侵深大于绝热模型计算结果。
- 侵彻 /
- 热传导 /
- 有限元 /
- 陶瓷
Abstract: Based on the finite element method, the heat conduction equation was made discrete and written as the heat transfer computation code which was then embedded into the existing impact dynamics program. The new program was applied to the numerical analysis of the long-rod projectile penetrating into AD95 ceramic targets in the range of 900-1 800 m/s, and the influence of heat transfer on penetration capability was examined. Calculations show that the calculated penetration depth is less than that by the adiabatic model when the heat transfer is taken into account in the range of 900-1 350 m/s. However, it is opposite when the velocity of the projectile comes in the range of 1 450-1 800 m/s. The results by the heat transfer model and the adiabatic model are close to each other in the range of 1 350-1 450 m/s.
- penetration /
- heat transfer /
- finite element /
- ceramic

HTML全文

图 1 温度背景网格示意图

Figure 1. Diagram of temperature background grid

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图 2 模型及局部网格

Figure 2. Model and local mesh

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图 3 典型长杆弹侵彻陶瓷靶过程中的损伤云图(1 054 m/s)

Figure 3. Damage distribution of the ceramic target penetrated by a typical long-rod projectile of 1 054 m/s

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图 4 典型长杆弹侵彻后的AD95陶瓷靶(1 054 m/s)

Figure 4. AD95 ceramic target penetrated by a typical long-rod projectile of 1 054 m/s

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图 5 两种模型计算侵深的比较

Figure 5. Comparison between the two models on penetration depth

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图 6 弹体面密度和侵深时程曲线

Figure 6. Areal density- and penetration depth-time curves of the long-rod projectile at different initial penetration velocities

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图 7 侵彻过程中弹头的压力时程曲线

Figure 7. Pressure-time curves of the projectile headduring penetration

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图 8 侵彻过程中弹头平均压力随着速的变化

Figure 8. Average pressure of the projectile head varied with initial penetraion velocity during penetration

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图 9 两种模型长杆弹剩余质量时程曲线

Figure 9. Residual mass-time curves by two models

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图 10 观测点温度时程

Figure 10. Temperature-time curves of observation points

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表 1 3种金属的材料参数

Table 1. Parameters of three metals

材料	ρ₀/(g·cm^-3)	G/GPa	A/GPa	B/GPa	n	C	m	γ	${\dot \varepsilon _0}/{{\rm{s}}^{ - 1}}$	T₀/K	T_m/K	K₁/GPa	K₂/GPa	K₃/GPa	c_p/(J·kg^-1·K^-1)	k/(W·m^-1·K^-1)
35CrMnSi	7.83	81.8	1.64	2.0	0.232	0.008	1.27	1.16	1.0	300	1 793	164	294	500	477	50
45钢	7.8	77.5	0.496	0.434	0.307	0.07	0.804	1.43	1.0	300	1 723	164	294	500	477	50
A3钢	7.83	79.2	0.23	0.20	0.26	0.014	1.03	1.16	1.0	300	1 760	164	294	500	477	50

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表 2 长杆弹侵彻陶瓷复合靶3个阶段

Table 2. Three phases of long-rod projectiles penetration into ceramic composite targets

阶段	描述	v₀/(m·s^-1)	p/GPa	p/Y₀
1	热传导模型侵深低于绝热模型	900~1 350	6.0~8.5	3.7~5.2
2	两种模型侵深相近	1 350~1 450	8.5~9.3	5.2~5.7
3	热传导模型侵深高于绝热模型	1 450~1 800	9.3~11.0	5.7~6.7

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参考文献(13)

[1]	李永池, 袁福平, 胡秀章, 等.卵形头部弹丸对混凝土靶板侵彻的二维数值模拟[J].弹道学报, 2002, 14(1):14-19. doi: 10.3969/j.issn.1004-499X.2002.01.003 Li Yongchi, Yuan Fuping, Hu Xiuzhang, et al.The 2-D numerical simulation on penetrations of an oval headed projectile into concrete targets[J].Journal of Ballistics, 2002, 14(1):14-19. doi: 10.3969/j.issn.1004-499X.2002.01.003
[2]	晏麓晖, 冯兴民, 夏清波, 等.应变率和绝热软化对空腔膨胀影响的数值模拟[J].国防科技大学学报, 2011, 33(3):44-47. doi: 10.3969/j.issn.1001-2486.2011.03.010 Yan Luhui, Feng Xingmin, Xia Qingbo, et al.A numerical simulation of the effects of strain rate and adiabatic softening on the Cavity Expansion Model[J].Journal of National University of Defense Technology, 2011, 33(3):44-47. doi: 10.3969/j.issn.1001-2486.2011.03.010
[3]	赵攀峰, 沈兆武, 孙宇新.含损伤热塑性材料靶板的抗冲塞研究[C]//第十届全国激波与激波管学术讨论会论文集, 2002: 141-146. http://cpfd.cnki.com.cn/Article/CPFDTOTAL-AGLU200210001025.htm
[4]	Ning Jianguo, Ren Huilan, Guo Tingting, et al.Dynamic response of alumina ceramics impacted by long tungsten projectile[J].International Journal of Impact Engineering, 2013, 62:60-74. doi: 10.1016/j.ijimpeng.2013.06.006
[5]	Lidén E, Mousavi S, Helte A, et al.Deformation and fracture of a long-rod projectile induced by an oblique moving plate:Numerical simulations[J].International Journal of Impact Engineering, 2012, 40/41:35-45. doi: 10.1016/j.ijimpeng.2011.09.003
[6]	Iqbal M A, Gupta G, Diwakar A, et al.Effect of projectile nose shape on the ballistic resistance of ductile targets[J].European Journal of Mechanics-A/Solids, 2010, 29(4):683-694. doi: 10.1016/j.euromechsol.2010.02.002
[7]	孙宇新, 李永池, 于少娟, 等.长杆弹侵彻受约束A95陶瓷靶的实验研究[J].弹道学报, 2005, 17(2):38-41. doi: 10.3969/j.issn.1004-499X.2005.02.008 Sun Yuxin, Li Yongchi, Yu Shaojuan, et al.An experimental study on the penetration confined A95 ceramic targets[J].Journal of Ballistics, 2005, 17(2):38-41. doi: 10.3969/j.issn.1004-499X.2005.02.008
[8]	孙宇新, 张进, 李永池, 等.内爆加载下热塑性管壳的应力波演化与层裂效应研究[J].高压物理学报, 2005, 19(4):319-324. doi: 10.3969/j.issn.1000-5773.2005.04.006 Sun Yuxin, Zhang Jin, Li Yongchi, et al.Propagation of stress wave and spallation of cylindrical tube under external explosive Loading[J].Chinese Journal of High Pressure Physics, 2005, 19(4):319-324. doi: 10.3969/j.issn.1000-5773.2005.04.006
[9]	李硕, 王志军, 徐永杰, 等.热处理对弹体材料侵彻能力影响的分析[J].兵工学报, 2014, 35(S2):78-82. http://www.cnki.com.cn/Article/CJFDTOTAL-BIGO2014S2015.htm Li Shuo, Wang Zhijun, Xu Yongjie, et al.The effect of heat treatment on penetration performance of projectile material[J].Acta Armamentarii, 2014, 35(S2):78-82. http://www.cnki.com.cn/Article/CJFDTOTAL-BIGO2014S2015.htm
[10]	赵晓宁, 何勇, 张先锋, 等.A3钢抗高速杆弹侵彻的数值模拟与实验研究[J].南京理工大学学报, 2011, 35(2):164-167. doi: 10.3969/j.issn.1005-9830.2011.02.003 Zhao Xiaoning, He Yong, Zhang Xianfeng, et al.Experimental and numerical study on A3 steel targets penetrated by high-velocity long-rod projectiles[J].Journal of Nanjing University of Science&Technology, 2011, 35(2):164-167. doi: 10.3969/j.issn.1005-9830.2011.02.003
[11]	卞梁, 王肖钧, 章杰.SPH/FEM耦合算法在陶瓷复合靶抗侵彻数值模拟中的应用[J].高压物理学报, 2010, 24(3):161-167. doi: 10.3969/j.issn.1000-5773.2010.03.001 Bian Liang, Wang Xiaojun, Zhang Jie.Numerical simulations of antipenetration of confined ceramic targets by SPH/FEM coupling method[J].Chinese Journal of High Pressure Physics, 2010, 24(3):161-167. doi: 10.3969/j.issn.1000-5773.2010.03.001
[12]	杨震琦, 庞宝君, 王立闻, 等.JH-2模型及其在Al₂O₃陶瓷低速撞击数值模拟中的应用[J].爆炸与冲击, 2010, 30(5):463-471. http://www.bzycj.cn/CN/abstract/abstract8776.shtml Yang Zhenqi, Pang Baojun, Wang Liwen, et al.JH-2 model and its application to numerical simulation on Al₂O₃ ceramic under low-velocity impact[J].Explosion and Shock Waves, 2010, 30(5):463-471. http://www.bzycj.cn/CN/abstract/abstract8776.shtml
[13]	任会兰, 陈雯, 郭婷婷.陶瓷靶抗侵彻特性的数值模拟研究[J].北京理工大学学报(自然科学版), 2013, 33(2):111-115. http://d.old.wanfangdata.com.cn/Periodical/bjlgdxxb201302001 Ren Huilan, Chen Wen, Guo Tingting.Numerical simulation on the anti-penetration properties of ceramic target[J].Transactions of Beijing Institute o Technology (Natural Science Edition), 2013, 33(2):111-115. http://d.old.wanfangdata.com.cn/Periodical/bjlgdxxb201302001