Numerical analysis of penetration resistance of ceramic/fluid cabin composite structure
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摘要: 为研究陶瓷/液舱复合结构抗侵彻机理，在前期弹道冲击实验结果基础上，运用LS-DYNA进行了数值模拟，再现了陶瓷/液舱复合结构在弹体冲击下的破坏过程和破坏模式，得到与实验一致的结果。结果表明：弹体撞击结构后，结构内产生的冲击波以撞击处为圆心、以球形向前传播，并在结构内来回反射振荡；弹体在水中运动时，水中形成空泡且不断扩展，弹体头部水域形成高压区域；弹体发生墩粗和侵蚀破坏，在低速冲击下，弹体破坏主要发生在穿透陶瓷和前面板过程中，在高速冲击下，弹体破坏主要发生在水中运动阶段，最终形成类似“饼状”的严重变形；前、后面板发生局部破坏和整体变形，在高速弹体撞击下，后面板将发生花瓣开裂。Abstract: To study the mechanism behind the penetration resistance capability of the ceramic/fluid cabin composite structure, numerical simulation was carried out using LS-DYNA to represent the structure's failure process and modes under the impact of the projectile, and results were obtained that agree well with those from the experiment. The results show that the shockwave generated at the impact point of the structure propagated forward spherically, and bounced and oscillated back and forth in the structure. Cavity was generated in the water and constantly grew, and there was an area of high pressure in front of the projectile when the projectile was moving in the water. The projectile mainly exhibited coarse and erosive damage, and the damage mainly occurred in the process of the projectile penetrating the ceramic and the front plate at low velocities and in the water at high velocities, eventually forming approximately bake-shaped serious deformation. The front and back plates mainly suffered local failure and overall deformation, while petal-shaped cracking occurred in the back plate under high-velocity impact.
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Key words:
- failure mode /
- ceramic /
- penetration
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图 8 数值计算后的弹体变形破坏
Figure 8. Deformation failure of projectiles after numerical calculation
图 9 弹体侵彻3c2s-4s结构过程中剩余长度lr和动能Ek曲线
Figure 9. Curves of remaining length lr and kinetic energy Ek of projectile in the process of penetrating 3c2s-4s fluid cabin structure
图 10 773.6m/s(2s-4s)前、后面板破坏变形
Figure 10. Deformation of front and back plates at 773.6m/s(2s-4s)
图 11 990m/s (3c2s-4s)前后前、后面板破坏变形
Figure 11. Deformation of front and back plates under at 990m/s (3c2s-4s)
图 12 1200m/s (3c2s-4s)前、后面板破坏变形
Figure 12. Deformation of front and back plates at 1200m/s (3c2s-4s)
图 13 1800m/s (3c2s-4s)前、后面板破坏变形
Figure 13. Deformation of front and back plates at 1800m/s (3c2s-4s)
表 1 实验类型以及组合形式和相关参数
Table 1. Experiment types, combining forms and related parameters
实验编号 类型 组合形式 约束覆板厚度/mm 陶瓷厚度/mm 前面板厚度/mm 后面板厚度/mm 1~3 Ⅰ 1s-5s - - 1 5 4~6 Ⅰ 2s-4s - - 2 4 7~8 Ⅰ 4s-2s - - 4 2 9~13 Ⅱ 3c2s-4s - 3 2 4 14 Ⅱ 5c2s-4s - 5 2 4 15~16 Ⅲ 1s3c1s-4s 1 3 1 4 17 Ⅲ 1s3c1s-4s 1 5 1 4 
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表 2 弹体的材料参数
Table 2. Material parameters of projectile
G/GPa A1/MPa B1/MPa n C1 m D1 CV/(J·kg·K-1) Tm/K T0/K 80.8 335 350 0.782 0.0483 0.804 0.8 477 1793 300
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表 3 液舱结构的材料参数
Table 3. Material parameters of water-filled structure
σ0/MPa Eh/MPa n D/s-1 εf 235 250 5 40.4 0.28
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表 4 水和空气的材料参数
Table 4. Material parameters of water and air
材料 ρ0/(kg·m-3) c/(m·s-1) S1 S2 S3 γ0 a C4 C5 E0/(kJ·m-3) 水 1000 1448 1.979 0 0 0.11 3 - - 0 空气 1.22 - - - - - - 0.4 0.4 253
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表 5 陶瓷的材料参数
Table 5. Material parameters of ceramic
ρ0/(g·cm-3) A2/GPa B2/GPa C2/GPa M N T/GPa σH/GPa 3.89 0.88 0.50 0 0.6 0.64 0.35 6.5 pH/GPa ${{\dot \varepsilon }_0}$/s-1 β D1 D2 K1/GPa K2/GPa K3/GPa Fs 3.48 1.0 1.0 0.13 1 230.1 -160 2373 1.0
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表 6 计算值与实验值的比较
Table 6. Comparison of calculating values and experimental values
实验编号 组合形式 初始速度/(m·s-1) 实验剩余速度/(m·s-1) 计算剩余速度/(m·s-1) 剩余速度偏差率/% 实验剩余长度/mm 计算剩余长度/mm 剩余长度偏差率/% 1 1s-5s 792.4 300.6 300 -0.2 17.8 17.5 -1.7 2 1s-5s 958.2 390.6 379 -3.0 - 16.4 - 3 1s-5s 1068.0 440.9 408 -7.5 - 15.8 - 4 2s-4s 966.8 425.0 348 -18.1 - 16.4 - 5 2s-4s 773.6 294.3 294 -0.1 17.4 17.1 -1.7 6 2s-4s 954.0 332.2 345 3.9 - 16.5 - 7 4s-2s 792.6 321.7 348 8.4 18.5 17.3 -6.4 8 4s-2s 996.2 490.1 447 -8.8 - 16.3 - 9 3c2s-4s 862.9 257.6 248 -3.7 16.6 15.4 -7.2 10 3c2s-4s 953.7 344.9 336 -2.6 16.5 16.0 -3.0 11 3c2s-4s 990.0 330.0 359 8.8 - 16.2 - 12 3c2s-4s - - - - - - - 13 3c2s-4s 1014.0 360.7 395 9.5 15.0 15.9 0.6 14 5c2s-4s 1030.9 304.4 326 7.2 14.5 15.7 8.3
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