Research on the Influence of JWL EOS Parameters of Explosives on Numerical Simulation of Underwater Explosion
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摘要: 爆轰产物状态方程是计算爆炸力学的基本方程之一, 其参数的取值变化会对数值分析结果产生直接影响。文中研究聚焦于TNT炸药JWL状态方程参数对水下爆炸冲击波数值仿真的影响, 基于LS-DYNA有限元程序, 通过与经验公式对比构建精细的一维水下爆炸数值模型, 深入分析爆轰产物JWL状态方程各参数不同取值下爆炸冲击波压力衰减规律以及能量释放等关键过程的变化规律。结果显示, JWL状态方程参数对水下爆炸冲击波峰值压力、比冲量及比冲击波能等参数均有重要影响, 且在不同爆心距离上的影响不尽相同, 在峰值压力方面, 近场范围R1影响远大于其他参数, 而中远场范围则是E0影响最大, 且峰值压力越大衰减越快; 比冲量方面E0的改变影响最大, 且改变E0时比冲量计算值与参数大小成线性关系; 比冲击波能方面同样E0影响最大。研究结果可为水下爆炸数值仿真中JWL方程参数合理取值提供参考依据。Abstract: The equation of state for detonation products is one of the fundamental equations in computational explosion mechanics, changes in the values of its parameters directly affect the results of numerical analysis. This study focuses on the influence of the parameters of the JWL equation of state for TNT explosives on the numerical simulation of underwater explosion shock waves. Based on the LS-DYNA finite element program, a refined one - dimensional numerical model of underwater explosion is constructed by comparing with empirical formulas. An in - depth analysis is conducted on the variation laws of key processes such as the pressure attenuation of explosion shock waves and energy release under different values of each parameter in the JWL equation of state for detonation products.The results show that the parameters of the JWL equation of state have significant impacts on parameters such as the peak pressure, specific impulse, and specific shock wave energy of underwater explosion shock waves, and the impacts vary at different distances from the explosion center. In terms of peak pressure, in the near field range, the influence of R1 is much greater than that of other parameters, while in the middle and far field ranges, E0 has the greatest influence. Moreover, the higher the peak pressure, the faster the attenuation. In terms of specific impulse, changes in E0 have the greatest influence, and when E0 is changed, the calculated value of specific impulse has a linear relationship with the parameter value. Similarly, E0 has the greatest influence on specific shock wave energy.
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Key words:
- underwater explosion /
- JWL equation of state /
- numerical simulation
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图 3 不同R/R0下归一化压力与网格尺寸关系
Figure 3. The relationship between normalized pressure and grid size under different R/R0
图 4 数值模型与经验公式峰值压力对比图
Figure 4. Comparison of Peak Pressure between Numerical Model and Empirical Formula
图 6 不同A值下峰值压力-距离曲线
Figure 6. Peak pressure-distance curves under different values of A
图 9 不同B值下峰值压力-距离曲线
Figure 9. Peak pressure-distance curves under different values of B
图 12 不同R1值下峰值压力-距离曲线
Figure 12. Peak pressure-distance curves under different values of R1
图 15 不同R2值下峰值压力-距离曲线
Figure 15. Peak pressure-distance curves under different values of R2
图 18 不同ω值下峰值压力-距离曲线
Figure 18. Peak pressure-distance curves under different values of ω
图 21 不同E0值下峰值压力-距离曲线
Figure 21. Peak pressure-distance curves under different values of E0
图 24 各参数不同取值下峰值压力变化曲线
Figure 24. Peak pressures curves under different values of each parameter
图 25 各参数不同取值下比冲量变化曲线
Figure 25. Specific impulse curves under different values of each parameter
图 26 各参数不同取值下比冲击波能变化曲线
Figure 26. Specific shock energy curves with different values of each parameter
表 1 炸药材料和JWL状态方程参数
Table 1. Material and JWL Equation of State Parameters of Explosive
参数 符号 数值 炸药密度 $ {\rho _E}/\left( {{\text{g}} \cdot {\text{c}}{{\text{m}}^{{{ - 3}}}}} \right) $ 1.63 炸药爆速 $ D/\left( {{\text{m}} \cdot {{\text{s}}^{{{ - 1}}}}} \right) $ 6 930 爆轰CJ点压力 $ {P_{{\text{CJ}}}}/{\text{GPa}} $ 21 炸药单位体积初始内能 $ {E_0}/{\text{GPa}} $ 7 JWL参数 $ A/{\text{GPa}} $ 373.77 $ B/{\text{GPa}} $ 3.747 R1 4.15 R2 0.9 $ \omega $ 0.35 
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表 2 海水材料和Grünesien状态方程参数
Table 2. Material and Grüneisen equation of state parameters of seawater
参数 符号 数值 海水密度 $ {\rho _w}/\left( {{\text{g}} \cdot {\text{c}}{{\text{m}}^{{{ - 3}}}}} \right) $ 1.025 声速 $ C/\left( {{\text{m}} \cdot {{\text{s}}^{{{ - 1}}}}} \right) $ 1520 海水单位体积初始内能 $ {E_{w0}}{\text{/MPa}} $ 0.7 Grünesien参数 S1 1.92 S2 0 S3 0 $ {\gamma _0} $ 0.28 A 0
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