Numerical Simulation of Shaped Warhead Penetrating the Target with Reactive Armor in Motion State
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摘要: 运用LS-DYNA有限元程序模拟了不同横向飞行速度(150、200、300、400、500 m/s)和侵彻角度(30°、45°、60°)情况下聚能战斗部对披挂反应装甲后效靶板的侵彻过程，讨论了射流所受干扰情况及其对后效靶板的侵彻结果。研究结果表明：当侵彻角度一定时，射流对靶板表面的切割长度随速度的增大而增大，且在侵彻角度为30°时增大速率最快；但射流侵彻深度随速度的增大而减小，且在侵彻角度为60°时减小速率最慢。当飞行速度一定时，射流对靶板表面的切割长度和侵彻深度均随侵彻角度的增大而减小，且表面切割长度降幅随速度的增大呈先增大后减小的趋势，在速度为300 m/s时，降幅最大，为59.6%；而侵彻深度降幅随速度的增大呈先减小后增大的趋势，在速度为350 m/s时，降幅最小，为39.3%。最后通过理论方法分析了数值模拟结果，论证了数值模拟方法的正确性。Abstract: The processes of shaped warheads penetration of post-impact targets with reaction armor at different flight speeds (150, 200, 300, 400, 500 m/s) and in different penetration angles (30°, 45°, 60°) were simulated using the LS-DYNA program, and the interference of the jet and the result of its penetration into the target plate were discussed.The results show that when the penetration angle is a constant, the cutting length of the target surface increases with the increase of the velocity and the rate of the increase is the fastest at 30°, but the penetration depth decreases and the rate of the decrease is the slowest at 60°.When the flight speed is a constant in the range of 150-500 m/s, both the cutting length of the target surface and the penetration depth decrease with the increase of the angle.The drop of the cutting length of the target surface tends to increase at first and then decrease with the increase of the velocity and the maximum decrease is 59.6% at 300 m/s, whereas the drop of the penetration depth tends to decrease at first and then increase with the increase of the velocity and the minimum decrease is 39.3% at 350 m/s.The theoretical analysis was carried out and the numerical simulation method was proved correct.
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图 7 后效靶板表面切割长度随飞行速度的变化
Figure 7. Variation of target surface's cutting length with the velocity
图 8 后效靶板侵彻深度随飞行速度的变化
Figure 8. Variation of target's penetration depth with the velocity
图 9 表面切割长度降幅随飞行速度变化曲线
Figure 9. Variation of surface's cutting length drop with the velocity
Material ρ/(g·cm-3) E/GPa AJ-C/MPa BJ-C/MPa μ C n m Copper 8.96 124 300 100 0.34 0.025 0.31 1.09 45 steel 7.83 200 792 510 0.34 0.014 0.26 1.09 
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ρ/(g·cm-3) AJWL/GPa BJWL/GPa D/(km·s-1) R1 R2 ω 1.787 581.4 6.801 8.39 4.1 1.0 0.35
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pCJ/GPa G1/(μs·GPa-1) I/μs-1 λig, max/(m·s-1) λG2, max y z g ρ/(g·cm-3) G2/(μs·GPa-1) D/(km·s-1) λG1, max/(m·s-1) a b c d 27 310 4.4×1011 0.3 0 1.0 2.0 1.0 1.72 4.0×104 6.93 0.5 0 0.667 0.667 0.111
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表 4 射流断裂时间
Table 4. Fracture time of each part of the jet
Velocity/(m·s-1) thead/μs tmid/μs α=30° α=45° α=60° α=30° α=45° α=60° 0 86 79 74 217 196 154 150 81 77 72 183 167 140 200 79 77 71 181 159 134 300 78 76 68 177 151 122 400 77 70 67 161 132 113 500 71 68 65 158 130 107
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表 5 射流侵彻靶板的模拟结果
Table 5. Simulation results of jet penetrating target
Velocity/(m·s-1) L/mm P/mm α=30° α=45° α=60° α=30° α=45° α=60° 150 35.5 25.5 24.5 100.0 91.8 51.1 200 47.4 33.7 25.0 89.5 84.5 50.7 300 71.0 46.2 28.7 83.6 80.6 50.4 400 82.0 47.5 40.0 81.3 74.7 49.2 500 99.5 49.3 48.6 77.2 68.2 44.9
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