Synergistic Effects of Impact and Attack Angles on Anti-Penetration Performances of Thin Aramid Laminates
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摘要: 为探究着角和攻角对薄芳纶层合板抗平头弹侵彻性能的影响，建立了三维有限元仿真模型，对4 mm厚芳纶层合板在着角单独作用下以及着/攻角联合作用下的弹道行为进行了计算. 通过弹丸的剩余速度、靶板的极限弹道速度及穿孔能量阈值反映了芳纶层合板的抗侵彻性能，分析了其在不同工况下的变形与破坏机理. 结果表明：薄芳纶层合板的弹道极限速度随初始着角的增加先减小后增大；随着入射速度的增大和初始着角的减小，着角改变量和攻角改变量均有减小的趋势；对于固定的着角，负攻角不利于子弹侵彻，正攻角有利于侵彻.Abstract: A 3D finite element (FE) simulation model was built to investigate the synergistic effects of impact and attack angles on the penetration resistance of relatively thin aramid laminates to flat-noded bullets. Two scenarios of the impact responses of a 4-mm-thick aramid laminate were calculated, i.e., considering the impact angle alone and considering the impact and attack angles together. The penetration resistance of the aramid laminate was reflected by the residual velocity of the bullet, the ballistic limit velocity and the perforation energy threshold of the target plate. Deformation and damage mechanisms of the laminate under different impact conditions were also analyzed. The main findings are: (ⅰ) the ballistic limit velocity decreases and then increases with the initial impact angle; (ⅱ) with the increasing impact velocity and the decreasing initial impact angle, the changes of the impact angle and the attack angle both tend to decrease; (ⅲ) for a fixed impact angle, a negative attack angle is not conducive to penetration, but a positive attack angle is conducive to penetration.
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Key words:
- impact angle /
- attack angle /
- aramid laminate /
- flat-nosed bullet /
- ballistic limit velocity /
- perforation energy threshold
1) （我刊编委卢天健来稿） -
图 1 带着角(φ)与攻角(α)的非理想侵彻
Figure 1. Schematic of the non-ideal penetration with an impact angle (φ) and an attack angle (α)
图 4 子弹初始着角φ0对姿态角改变量的影响
Figure 4. Effects of initial impact angle φ0 on the changes of attitude angles
图 5 不同入射速度下子弹初始着角φ0对其轨迹的影响
Figure 5. Effects of initial impact angle φ0 on the bullet trajectories at different impact velocities
图 6 平头弹带初始着角冲击芳纶层合板的σx分布(vi=180 m/s)
Figure 6. Distributions of σx for a flat-nosed bullet impacting an aramid laminate with an initial impact angle (vi=180 m/s)
图 7 平头弹带初始着角冲击芳纶层合板的接触力时程曲线(vi=180 m/s)
Figure 7. Contact force time histories for a flat-nosed bullet impacting an aramid laminate with an initial impact angle (vi=180 m/s)
图 8 初始着角为10°时初始攻角的影响
Figure 8. Effects of the initial attack angle at a fixed initial attack angle of 10°
图 9 初始着角为20°时初始攻角的影响
Figure 9. Effects of the initial attack angle at a fixed initial attack angle of 20°
图 10 初始着角为30°时初始攻角的影响
Figure 10. Effects of the initial attack angle at a fixed initial attack angle of 30°
图 11 平头弹带初始着角和初始攻角冲击芳纶层合板的σx分布(vi=180 m/s)
Figure 11. Distributions of σx for a flat-nosed bullet impacting an aramid laminate with an initial impact angle and an attack angle (vi=180 m/s)
图 12 平头弹带初始着角和初始攻角冲击芳纶层合板的接触力时程曲线(vi=180 m/s)
Figure 12. Contact force time histories for a flat-nosed bullet impacting an aramid laminate with an initial impact angle and an attack angle (vi=180 m/s)
ρ/(kg·m-3) E/GPa A/MPa B/MPa n C m $\dot{\varepsilon}_0 /\mathrm{s}^{-1}$ 7 800 200 506 320 0.28 0.064 1.06 1 Tm/K Cr/(J·kg-1·K-1) D1 D2 D3 D4 D5 1 795 469 0.10 0.76 1.57 0.005 -0.84 
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