Critical detonation velocity calculation model of cylindrical covered charge impacted by fragment
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摘要: 为获得适用于柱面带壳装药的冲击起爆修正判据，以Picatinny工程判据为基础加入修正项进行修正。采用AUTODYN-3D软件对破片撞击柱面带钢壳的B炸药进行数值计算，获得了破片入射角、装药曲率半径对炸药临界起爆速度的影响规律；通过拟合得到修正项表达式，建立了考虑破片入射角、柱壳装药形状函数的炸药起爆临界速度修正判据。判据计算值与实验数据和数值计算值吻合较好，该判据能较好的预测柱形带壳装药的冲击起爆条件。Abstract: In this work, to obtain the critical detonation velocity calculation model about the cylindrical covered charge impacted by fragments, we added the correction terms to the velocity calculation based on the Picatinny engineering criterion. We found out about the influence of the fragment impact angle and the charge curvature radius on the critical detonation velocity using the AUTODYN software through simulating the tungsten fragment impact cylindrical steel casing filled with B explosive. Based on the fitting expression, we established the critical velocity calculation model of the explosive initiation considering the impact angle and the charge shape function. The model calculation values are in good agreement with the experimental data and the simulation results, thereby suggesting that the model can provide a better prediction of the impact initiation of the cylindrical covered charge.
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Key words:
- critical velocity /
- impact initiation /
- cylindrical covered charge /
- calculation model
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图 1 破片对柱壳装药作用剖面
Figure 1. Tungsten fragment impact cylindrical shell charge at collision point
图 2 钨球与柱壳装药作用过程的物理及离散化网格模型
Figure 2. Physical model and discrete model of tungsten fragment impact cylindrical covered charge
图 3 钨球以不同入射角撞击柱面带壳装药应力图
Figure 3. Stress of tungsten fragment impact cylindrical shell charge with different incidence angles
图 4 柱壳和平面带壳装药内相同位置观测点压力时程曲线
Figure 4. Histories of pressure at same point in cylindrical charge and plate charge
图 7 f(h/r)平均值随壳体厚度与曲率半径比值变化关系
Figure 7. Relation between average value of f(θ) and sinθ
表 1 Comp-B炸药材料参数
Table 1. Material parameters of Comp-B explosive
I/μs-1 b a x G1/(Pa-2·s-1) c d y G2 e g z 44 0 0.01 4.0 414×10-16 0.222 0.667 2.0 0 0 0 0 
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表 2 破片、壳体材料模型
Table 2. Material model of fragment and casing
部件 材料 状态方程 强度模型 失效应变 壳体 Steel 4340 Linear Johnson-Cook Geometric Strain 破片 Tungsten Shock Johnson-Cook Geometric Strain
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表 3 临界起爆速度的数值模拟与理论值对比
Table 3. Comparison of critical initiation velocities between simulation and theory
m/g h/mm θ/(°) vcr/(m·s-1) ε/% 数值模拟 理论 3 5 0 2 915 3 074.4 5.2 4 5 0 2 660 2 545.5 4.5
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表 4 各工况下炸药起爆的破片临界速度
Table 4. Critical detonation velocity under various conditions
θ/(°) vcr/(m·s-1) r=40 mm r=60 mm r=75 mm r=100 mm r=200 mm r=∞ 0 2 826 2 838 2 828 2 840 2 868 2 915 15 2 918 2 912 2 915 2 920 2 940 2 955 30 3 069 3 073 3 084 3 078 3 088 3 092 45 3 396 3 412 3 407 3 423 3 437 3 541 55 3 832 3 830 3 835 3 845 3 837 3 843
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表 5 不同质量破片临界起爆速度数值模拟与修正判据对比
Table 5. Comparison of critical initiation velocities between simulation and rectified criterion value
工况 m/g h/mm r/mm θ/(°) vcr/(m·s-1) ε/% 数值模拟 修正判据 1 4 6 50 0 2 657 2 528 4.59 2 4 6 75 30 2 928 2 730 6.76 3 5 6 40 0 2 181 2 205 1.10 4 5 6 40 15 2 237 2 254 0.76 5 5 6 40 30 2 414 2 381 1.36 6 4 5 40 0 2 217 2 182 1.60 7 4 5 40 30 2 438 2 357 3.44
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