膨胀石墨燃爆剂JWL状态方程参数拟合

许兴春; 高欣宝; 张俊坤

doi:10.11883/1001-1455(2015)01-0124-06

膨胀石墨燃爆剂JWL状态方程参数拟合

doi: 10.11883/1001-1455(2015)01-0124-06

军械工程学院, 河北石家庄 050003

详细信息

作者简介:
许兴春(1986—), 男, 博士研究生, doctxu@163.com

中图分类号: O389;TJ5
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- 被引次数: 0
出版历程
- 收稿日期: 2013-06-07
- 修回日期: 2013-10-25
- 刊出日期: 2015-01-25

Parameters fitting for the JWL EOS of expanded graphite bums agent

Ordnance Engineering College, Shijiazhuang 050003, Hebei, China

摘要

摘要: 用LS-DYNA对膨胀石墨燃爆剂爆炸过程进行数值模拟时，需要提供膨胀石墨燃爆剂的JWL状态方程的参数。把凝聚炸药等熵线物态方程作为目标方程，通过差分进化法拟合得出膨胀石墨燃爆剂JWL状态方程的参数。通过圆筒实验对所求得的参数进行验证，结果表明，理论值与实验值最大误差不超过3.3%，能够满足膨胀石墨燃爆剂爆炸模拟研究的需要。
- 爆炸力学 /
- JWL状态方程 /
- LS-DYNA /
- 膨胀石墨
Abstract: The simulation of the explosion of expanded graphite bums agent requires the determination of the parameters in the JWL EOS of expanded graphite bums agent. The JWL EOS of expanded graphite bums agent are fitted through the differential evolution method taking condensed explosives isentropic line EOS as the target equation. The cylinder test results show that the maximum error between the theoretical value and experimental value is less than 3.3%, meeting the needs of the expanded graphite bums agent explosion simulation research.
- mechanics of explosion /
- JWL EOS /
- LS-DYNA /
- expanded graphite

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图 1 几组拟合曲线与目标曲线对比

Figure 1. Comparison between fitting and objective curves

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图 2 计算模型简图

Figure 2. Diagram of model

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图 3 网格划分图

Figure 3. Diagram of meshing

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图 4 圆筒45 μs时网格变形图

Figure 4. Gridding distortion at 45 μs

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图 5 数值模拟得到的Δr-t曲线

Figure 5. Simulation curve of Δr-t

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图 6 圆筒实验原理示意图

Figure 6. Diagram of cylinder test

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图 7 实验得到的Δr-t曲线

Figure 7. Test curve of Δr-t

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表 1 几组拟合参数及其误差

Table 1. Several groups of fitting parameters and max error

数据组	A	B	R₁	R₂	ω	E_max/%
Value(a)	0.413	8.000	1.977	5.570	0.103	3.02
Value(b)	0.058	1.729	1.046	3.107	0.043	8.02
Value(c)	0.105	0.869	1.813	2.401	0.109	20.05
Value(d)	0.412	3.841	2.057	4.597	0.166	2.30

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表 2 圆筒实验结果

Table 2. Data of cylinder test

t/μs	(R-R₀)/mm
25	0.0
30	0.0
35	0.5
40	1.0
45	2.0
50	2.5
55	3.0
60	3.5
65	4.0
70	4.5
75	5.0
80	5.5
85	6.0
90	6.6
95	7.2
100	8.5

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参考文献(11)

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