多元混合炸药爆轰驱动圆筒膨胀规律的理论确定方法

刘益儒; 段卓平; 欧卓成; 黄风雷

doi:10.11858/gywlxb.2014.04.008

多元混合炸药爆轰驱动圆筒膨胀规律的理论确定方法

doi: 10.11858/gywlxb.2014.04.008

北京理工大学爆炸科学与技术国家重点实验室，北京 100081

基金项目: 国家自然科学基金重点项目(10832003)

详细信息

作者简介:
刘益儒(1987-), 女, 博士研究生, 主要从事爆炸力学与冲击动力学研究.E-mail:cyloveyr@bit.edu.cn

通讯作者:
段卓平(1965-), 男, 博士, 研究员, 主要从事爆炸力学与冲击动力学研究.E-mail:duanzp@bit.edu.cn

中图分类号: O381
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出版历程
- 收稿日期: 2012-09-15
- 修回日期: 2012-11-12

Theoretical Approach of Determining Expansion Law of Cylinder under the Detonation Driving of Multi-Component Explosive

State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China

摘要

摘要: 为快速预估任意配比的多元混合炸药爆轰产物的JWL(Jones-Wilkins-Lee)参数，提出了快速确定多元混合炸药爆轰驱动圆筒膨胀规律的理论方法，即在给定各组分爆轰产物JWL参数的前提下，根据能量守恒定律，采用Gurney模型，确定圆筒试验中多元混合炸药爆轰驱动圆筒膨胀距离随时间变化的曲线。同时，利用能量守恒原理以及经典爆轰理论中通过常γ状态方程得到的爆速、爆压和爆热之间的关系式，提出了确定多元混合炸药爆速和爆压的方法。采用该理论方法，分别计算了多元混合炸药PBXC03和PBXC10爆轰驱动圆筒膨胀规律及爆速和爆压，计算结果与前人的实验结果符合较好，验证了该理论方法的可行性和有效性。
- 圆筒试验 /
- JWL状态方程 /
- 多元混合炸药 /
- Gurney模型 /
- 能量守恒
Abstract: In order to provide basic data for quickly predicting JWL (Jones-Wilkins-Lee) parameters of multi-component explosive with any component ratio, this paper presents a theoretical approach for quickly determining the expansion characteristics of cylinder driven by detonation products of multi-component explosive in a cylinder test.Namely, based on the JWL parameters of each component in multi-component explosive, according to energy conservation principle and using Gurney model, the expansion displacement-time curve of cylinder under the detonation driving of multi-component explosive can be obtained.Meanwhile, utilizing energy conservation principle and the relationship between detonation velocity, detonation pressure and detonation heat from constant γ equation of state in classical detonation theory, this paper also presents a theoretical approach for determining the detonation velocity and detonation pressure of multi-component explosive with any component ratio.Using this method, the cylinder expansion characteristics, detonation velocity and detonation pressure of a PBXC03 and a PBXC10 multi-component explosive were calculated, respectively.It is found that the calculated results are in good agreement with previous experimental results, which verifies the feasibility of the theoretical approach.
- cylinder test /
- JWL equation of state /
- multi-component explosive /
- Gurney model /
- energy conservation principle

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图 1 ∅25 mm圆筒在PBXC03炸药驱动下的r-t曲线

Figure 1. r-t curves for ∅25 mm cylinder test of PBXC03

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图 2 ∅25 mm圆筒在PBXC10炸药驱动下的r-t曲线

Figure 2. r-t curves for ∅25 mm cylinder test of PBXC10

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表 1 PBX9404、LX10和PBX9502炸药爆轰产物的JWL参数^[14]

Table 1. WL parameters for the reaction products of PBX9404, LX10 and PBX9502^[14]

Explosive	v₀/(cm³/g)	A/(GPa)	B/(GPa)	C/(GPa)	R₁	R₂	ω
PBX9404	0.543 5	881.5	20.902	1.565	4.50	1.50	0.34
LX10	0.536 2	880.7	18.360	1.296	4.62	1.32	0.38
PBX9502	0.527 7	460.3	9.544	1.343	4.00	1.70	0.48

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表 2 PBX9404、LX10和PBX9502炸药的爆速和爆压^[14]

Table 2. Detonation velocity and detonation pressure of PBX9404, LX10 and PBX9502^[14]

Explosive	ρ₀/(g/cm³)	D_CJ/(km/s)	p_CJ/(GPa)
PBX9404	1.840	8.80	37.0
LX10	1.865	8.82	37.5
PBX9502	1.895	7.71	30.2

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表 3 PBXC03和PBXC10炸药的爆速和爆压的计算结果与实验结果^{[16, 18]}对比

Table 3. Comparison of detonation velocity and detonation pressure between calculated and experimental results^{[16, 18]} for PBXC03 and PBXC10

Explosive	D_CJ/(km/s)		δ_{D_CJ}/(%)	p_CJ/(GPa)		δ_{p_CJ}/(%)
Explosive	Exp.	Calc.	δ_{D_CJ}/(%)	Exp.	Calc.	δ_{p_CJ}/(%)
PBXC03	8.712	8.710	-0.02	35.2	36.5	3.69
PBXC10	7.990	7.991	0.01	32.0	32.3	0.88

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