杆式EFP用钽钨合金JC失效模型参数

门建兵; 卢易浩; 蒋建伟; 付恒; 韩伟

doi:10.11858/gywlxb.20200550

杆式EFP用钽钨合金JC失效模型参数

doi: 10.11858/gywlxb.20200550

门建兵^1,,
卢易浩¹,
蒋建伟^1,*, ,,
付恒¹,
韩伟²

1.
北京理工大学爆炸科学与技术国家重点实验室，北京　100081
2.
中国人民解放军32381部队，北京　100072

基金项目: 国家自然科学基金（1187020967）

详细信息

作者简介:
门建兵（1973－），男，博士，副教授，主要从事毁伤与弹药工程研究. E-mail：menjb@bit.edu.cn

通讯作者:
蒋建伟（1962－），男，博士，教授，主要从事毁伤与弹药工程研究. E-mail：bitjjw@bit.edu.cn

中图分类号: O385; TJ410
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出版历程
- 收稿日期: 2020-04-22
- 修回日期: 2020-04-29

Johnson-Cook Failure Model Parameters of Tantalum-Tungsten Alloy for Rod-Shaped EFP

MEN Jianbing^1
,,
LU Yihao¹,
JIANG Jianwei^{1,*
, ,},
FU Heng¹,
HAN Wei²

1.
State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
2.
Unit 32381 of the Chinese People’s Liberation Army，Beijing 100072，China

摘要

摘要: 针对目前数值仿真不能有效预测钽钨合金药型罩聚能装药杆式爆炸成型弹丸（Explosive formed projectile，EFP）的爆炸成型和断裂问题，开展了钽钨合金材料在不同应力、应变率以及温度条件下的力学性能实验，通过实验数据拟合得到了材料的Johnson-Cook失效模型参数。基于LS-DYNA嵌入该套模型参数开展了典型球缺钽钨药型罩EFP的成型仿真，通过同结构聚能装药静爆脉冲X射线摄影实验对仿真形成的EFP形状和速度计算结果进行对比验证。结果表明：将实测Johnson-Cook失效模型参数应用于杆式EFP成型的数值仿真时，各项成型参数的计算结果（形状、速度等）与实验结果的相对误差均小于9%，实现了对杆式EFP成型及断裂的准确预测。
- 爆炸成型弹丸 /
- 钽钨合金 /
- Johnson-Cook失效模型
Abstract: Due to the limitation of current numerical simulation model in predicting the fracture of rod-shaped tantalum-tungsten (Ta-W) alloy explosive formed projectile (EFP) during the forming process, the tests of the mechanical properties of Ta-W alloy specimen under different stress, strain rate and temperature conditions were carried out to obtain the parameters of Johnson-Cook failure model. The forming process of Ta-W EFP with typical charge structure was simulated by LS-DYNA software using the Johnson-Cook failure model and adaptive algorithm. X-ray experiment was carried out to verify the effectiveness of the numerical simulation. When the failure model was used in the numerical simulation of rod-shaped EFP molding, the prediction of EFP fracture was better, and the errors between the simulation results and the experiment results were less than 9%. The results revealed that the formation and fracture of rod-shaped EFP can be accurately predicted by the failure model.
- explosively-formed projectile /
- tantalum-tungsten alloy /
- Johnson-Cook failure model

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图 1 缺口试件尺寸（单位：mm）

Figure 1. Size of the notched specimen (Unit：mm)

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图 2 拉伸实验前后不同缺口试件照片

Figure 2. Notched specimens before and after tensile tests

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图 3 失效应变与应力三轴度的关系

Figure 3. Relationship between fracture strain and stress triaxiality

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图 4 圆柱试件加持状态照片

Figure 4. Clamped cylindrical specimen

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图 5 光滑圆柱试件尺寸（单位：mm）

Figure 5. Smooth cylindrical specimen (Unit：mm)

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图 6 不同应变率拉伸实验前后光滑圆柱试件照片

Figure 6. Smooth cylindrical specimens before and after tensile tests at different strain rates

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图 7 失效应变与应变率的关系

Figure 7. Relationship between fracture strain and the logarithmic non-dimensional strain rate

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图 8 不同温度下拉伸实验前后光滑圆柱试件照片

Figure 8. Smooth cylindrical specimens before and after tensile tests at different temperatures

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图 9 失效应变与温度的关系

Figure 9. Relationship between fracture strain and temperature

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图 10 EFP 装药结构的几何模型

Figure 10. Geometric model of EFP charge structure

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图 11 EFP成型数值计算网格模型

Figure 11. Simulation model of EFP

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图 12 EFP实验战斗部部件

Figure 12. Components of EFP warhead

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图 13 脉冲X射线摄影实验现场布置

Figure 13. Scene of pulsed X-ray imaging experiment

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表 1 钽钨合金化学成分

Table 1. Chemical composition of tantalum tungsten alloy (%)

Nb	W	Mo	N	O	Si
0.006 6	2.830 0	0.001 0	0.001 5	0.007 1	0.001 0

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表 2 数值模拟中采用的材料模型参数

Table 2. Material models used in the numerical simulation

Component	Material	$\,\rho $/(g∙cm⁻³)	Equation of state	Constitutive relation	Failure model
Liner	Ta-W	16.65	Grüneisen	Johnson-Cook	None (Ⅰ)
Liner	Ta-W	16.65	Grüneisen	Johnson-Cook	Johnson-Cook (Ⅱ)
Shell	45 steel	7.83	Grüneisen	Johnson-Cook	None
Charge	JH-2	1.71	JWL	High-Explosive-Burn	None

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表 3 钽钨合金的Johnson-Cook本构模型参数^[16]

Table 3. Material parameters of Johnson-Cook constitutive model for Ta-W^[16]

A/MPa	B/MPa	n	C	m
211	381	0.75	0.068	0.38

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表 4 数值模拟与实验得到的EFP成型形态对比

Table 4. Comparisons of EFP forming states in numerical simulation and experiment

$\delta $/mm	Simulation Ⅰ (Without failure model)	Simulation Ⅱ (With failure model)	X-ray imaging experiment	Forming time/ μs
2.0				300
1.5				270

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表 5 数值模拟与实验得到的EFP成型参数对比

Table 5. Comparisons of EFP forming results in numerical simulation and experiment

$\delta $/mm	Method	Velocity/(m·s^–1)	Length/mm	Diameter/mm
2.0	Simulation Ⅰ	1718	41.6	11.4
	Simulation Ⅱ	1718	41.6	11.4
	Experiment	1770	41.3	10.8
1.5	Simulation Ⅰ	1968	51.5	8.9
	Simulation Ⅱ	2021	36.1+14.7	10.4
	Experiment	2120	33.2+15.6	10.1

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