Parameter Fitting of Flyer Impact Initiation Criteria of JO-9C(Ⅲ) Explosive
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摘要: 针对JO-9C(Ⅲ)炸药的冲击起爆判据参数缺失问题，结合理论模型和模拟计算结果，拟合得到了JO-9C(Ⅲ)炸药的3种不同形式的起爆判据参数。利用AUTODYN软件，建立了不同尺寸钛飞片冲击起爆JO-9C(Ⅲ)炸药的数值模型，得到不同尺寸钛飞片起爆JO-9C(Ⅲ)炸药的临界速度。根据冲击起爆理论和飞片临界起爆速度，计算出JO-9C(Ⅲ)炸药内入射冲击波的波阵面参量，再结合p-τ、James和Π-τ 3种起爆判据形式，拟合得到JO-9C(Ⅲ)炸药的起爆判据参数，起爆判据参数的拟合精度从高到低依次为Π-τ、p-τ、James。Abstract: Aiming at the parameter missing problem of the shock initiation criteria of JO-9C(Ⅲ) explosive, parameters of three different forms of initiation criteria of JO-9C(Ⅲ) explosive were obtained by fitting the theoretical model and simulation results. The simulation models of shock initiation of JO-9C(Ⅲ) explosive with different sizes of titanium flyer were established by AUTODYN software, and the critical velocities for shock initiation of JO-9C(Ⅲ) explosive with different sizes of titanium flyers were obtained. The incident shock wave front parameters of JO-9C(Ⅲ) were calculated based on the shock initiation theory and critical initiation velocities of flyers. Combined with the three initiation criteria forms of p-τ, James, and Π-τ, the corresponding initiation criteria parameters of JO-9C(Ⅲ) explosive were fitted. The parameters fitting accuracy of the three initiation criterion from high to low is Π-τ, p-τ, James.
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Key words:
- JO-9C(Ⅲ) /
- initiation criterion /
- titanium flyer /
- ignition and growth model
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图 1 飞片冲击炸药的理论模型示意图
Figure 1. Schematic of the theoretical model of explosive impacted by a flyer
图 4 两种炸药起爆状态下各位置处的压力-时间曲线
Figure 4. Pressure-time curves at different positions for two initiation states of explosives
图 5 不同厚度飞片起爆JO-9C(Ⅲ)炸药的临界速度模拟结果
Figure 5. Simulation results of critical velocities of flyers with different thicknesses when initiating JO-9C(Ⅲ) explosive
图 6 JO-9C(Ⅲ)炸药的3种起爆判据拟合曲线
Figure 6. Fitting curves of three initiation criteria for JO-9C(Ⅲ) explosive
表 1 冲击波参数的实验与理论计算结果比较
Table 1. Comparison between experimental and theoretical results of shock wave parameters
Material δf/μm vf/(km·s−1) p τ Exp./GPa Calc./GPa Error/% Exp./ns Calc./ns Error/% Polyimide 25 2.96 11.1[21] 11.13 −0.83 10.7[21] 10.06 −5.97 25 2.84 9.8[8] 10.43 6.44 11.0[8] 10.26 −6.70 76 1.84 5.3[8] 5.43 2.44 38.0[8] 37.37 −1.67 140 1.51 4.0[8] 4.09 2.21 75.0[8] 73.54 −1.95 165 1.53 4.1[8] 4.17 1.59 97.0[8] 87.51 −9.78 254 1.46 3.8[8] 3.90 2.60 137.0[8] 134.80 −1.61 Aluminium 3.0 3.66 27.1[21] 29.22 7.82 1.6[21] 1.64 2.19 3.5 3.30 23.1[21] 24.21 4.81 1.9[21] 2.01 5.86 4.0 3.16 21.6[21] 22.39 3.65 2.2[21] 2.35 6.82 4.5 2.92 19.1[21] 19.43 1.72 2.6[21] 2.83 8.74 5.0 2.77 17.7[21] 17.68 −0.09 2.9[21] 3.16 9.08 
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表 2 JO-9C(Ⅲ)炸药和飞片的冲击Hugoniot参数
Table 2. Shock Hugoniot parameters of JO-9C(Ⅲ) booster and flyers
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表 3 JO-9C(Ⅲ)炸药的JWL状态方程参数[28]
Table 3. Parameters of JWL equation of state for JO-9C(Ⅲ) explosive[28]
Desity/(g·cm−3) State of explosive DCJ/(m·s−1) pCJ/GPa A*/TPa B*/GPa R1 R2 ω* E0/(GJ·m−3) 1.71 Unreacted 952 −5.94 14.10 1.41 0.89 −0.15 Product 7983 26.17 0.65 0.15 4.60 1.30 0.38 10.50
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表 4 JO-9C(Ⅲ)炸药的反应速率方程参数[28]
Table 4. Parameters of the reaction rate equation for JO-9C(Ⅲ) explosive[28]
I b a* x* G1 c* d* y* G2 e g z 44 0.222 0 4 0 0 0 0 2390 0.222 0.667 2
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表 5 约束和飞片的冲击状态方程参数
Table 5. Parameters of the shock equation of state for the constraint and flyer
Material Desity/(g·cm−3) Γ C0/(km·s−1) S0 Steel 1006 7.90 2.17 4.6 1.49 Titanium 4.51 1.09 5.2 0.77
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