Analysis of mass abrasion of high-speed penetrator influenced by aggregate in concrete target
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摘要: 高速侵彻时，弹靶之间发生强烈的局部作用，引起弹体头部发生质量侵蚀，从而影响弹体的侵彻性能。在弹体侵彻过程中，混凝土中的骨料对弹体的质量侵蚀有显著影响。本文通过对高速侵彻混凝土弹体的质量侵蚀实验数据进行分析，进一步分析讨论了混凝土骨料对弹体质量侵蚀的影响。将混凝土靶体视为骨料和砂浆基质混合的二相复合材料，引入混凝土骨料的体积分数χ和骨料的剪切强度τ1代替骨料的莫氏硬度H，给出无量纲骨料修正因子β，建立了修正的弹体质量损失工程模型。模型预测结果与现有的实验数据符合得很好，更准确地表征了混凝土骨料对弹体质量损失的影响。Abstract: The extreme local interaction between the projectile and target will cause mass erosion of the projectile during high-speed penetrating, and then decreases penetration performance of the penetrator. Aggregates in the concrete target will affect mass loss of the projectile obviously. Analysis about the experimental data is conducted to further discuss the effect of concrete aggregate on mass loss of the residual projectile after high speed penetration into concrete target. By assuming the concrete as a two-phase composite composed of mortar and aggregate and introducing the volume fraction and shear strength of aggregate instead of the aggregate Moh’s hardness, a modified engineering model is presented to predict the mass loss of projectile by giving a dimensionless modified factor β affected by aggregate. The modified model is in good agreement with available experimental data and can better characterize the effect of aggregate on the mass abrasion of penetrator into concrete target.
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Key words:
- high speed penetration /
- mass abrasion /
- aggregate /
- volume fraction /
- shear strength
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图 2 弹体相对质量损失预测结果与实验数据对比（工况1-1）
Figure 2. Predicted relative mass loss of the projectile compared with experimental data (Case 1-1)
图 3 弹体相对质量损失预测结果与实验数据对比（工况1-2）
Figure 3. Predicted relative mass loss of the projectile compared with experimental data (Case 1-2)
图 4 弹体相对质量损失预测结果与实验数据对比（工况2-1）
Figure 4. Predicted relative mass loss of the projectile compared with experimental data (Case 2-1)
图 5 弹体相对质量损失预测结果与实验数据对比（工况2-2）
Figure 5. Predicted relative mass loss of the projectile compared with experimental data (Case 2-2)
图 6 弹体相对质量损失预测结果与实验数据对比（工况3）
Figure 6. Predicted relative mass loss of the projectile compared with experimental data (Case 3)
图 7 弹体相对质量损失预测结果与实验数据对比（工况4）
Figure 7. Predicted relative mass loss of the projectile compared with experimental data (Case 4)
图 8 弹体相对质量损失预测结果与实验数据对比（工况5）
Figure 8. Predicted relative mass loss of the projectile compared with experimental data (Case 5)
图 9 弹体相对质量损失预测结果与实验数据对比（工况6）
Figure 9. Predicted relative mass loss of the projectile compared with experimental data (Case 6)
图 10 弹体相对质量损失预测结果与实验数据对比（工况7）
Figure 10. Predicted relative mass loss of the projectile compared with experimental data (Case 7)
图 11 弹体相对质量损失预测结果与实验数据对比（工况8）
Figure 11. Predicted relative mass loss of the projectile compared with experimental data (Case 8)
图 12 弹体相对质量损失预测结果与实验数据对比（工况9）
Figure 12. Predicted relative mass loss of the projectile compared with experimental data (Case 9)
图 13 弹体相对质量损失预测结果与实验数据对比（工况10）
Figure 13. Predicted relative mass loss of the projectile compared with experimental data (Case 10)
图 14 低速下弹体相对质量损失线性近似解与实验数据对比（工况1-1）
Figure 14. Experimental data and the linear approximate solution at low impact velocity (Case 1-1)
图 15 低速下弹体相对质量损失线性近似解与实验数据对比（工况1-2）
Figure 15. Experimental data and the linear approximate solution at low impact velocity (Case 1-2)
图 16 低速下弹体相对质量损失线性近似解与实验数据对比（工况2-1）
Figure 16. Experimental data and the linear approximate solution at low impact velocity (Case 2-1)
图 17 低速下弹体相对质量损失线性近似解与实验数据对比（工况2-2）
Figure 17. Experimental data and the linear approximate solution at low impact velocity (Case 2-2)
图 18 低速下弹体相对质量损失线性近似解与实验数据对比（工况3）
Figure 18. Experimental data and the linear approximate solution at low impact velocity (Case 3)
图 19 低速下弹体相对质量损失线性近似解与实验数据对比（工况4）
Figure 19. Experimental data and the linear approximate solution at low impact velocity (Case 4)
图 20 低速下弹体相对质量损失线性近似解与实验数据对比（工况5）
Figure 20. Experimental data and the linear approximate solution at low impact velocity (Case 5)
图 21 低速下弹体相对质量损失线性近似解与实验数据对比（工况6）
Figure 21. Experimental data and the linear approximate solution at low impact velocity (Case 6)
图 22 低速下弹体相对质量损失线性近似解与实验数据对比（工况7）
Figure 22. Experimental data and the linear approximate solution at low impact velocity (Case 7)
图 23 低速下弹体相对质量损失线性近似解与实验数据对比（工况8）
Figure 23. Experimental data and the linear approximate solution at low impact velocity (Case 8)
图 24 低速下弹体相对质量损失线性近似解与实验数据对比（工况9）
Figure 24. Experimental data and the linear approximate solution at low impact velocity (Case 9)
图 25 低速下弹体相对质量损失线性近似解与实验数据对比（工况10）
Figure 25. Experimental data and the linear approximate solution at low impact velocity (Case 10)
表 1 实验弹靶参数
Table 1. Parameters of targets and projectiles
工况 fc/MPa ρt/(kg·m−3) 骨料 H 弹体材料 Yp/MPa ρp/(kg·m−3) m0/kg d/mm L/d ψ0 1-1 13.5 2 000 石英石 7 4340 钢 1 481 7 850 0.064 12.9 6.88 3 1-2 13.5 2 000 0.064 12.9 6.88 4.25 2-1 21.6 2 000 0.064 12.9 6.88 3 2-2 21.6 2 000 0.064 12.9 6.88 4.25 3 62.8 2 300 0.478 20.3 10 3 4 51.0 2 300 1.6 30.5 10 10 5 58.4 2 320 石灰石 3 4340 钢/AerMet100 1 481/1 820 7 850 0.478 20.3 10 3 6 58.4 2 320 4340 钢/AerMet100 1 481/1 820 1.62 30.5 3 7 34.8 2 300 60Si2 Mn/Tc4 1 300/1 030 0.155 14 4.25 8 48.6 2 300 60Si2 Mn/20#钢 1 300/450 0.155 14 4.25 9 61.3 2 300 60Si2 Mn/45#钢 1 300/680 0.155 14 4.25 10 76.4 2 300 60Si2 Mn/35CrMnSi 1 300/1 540 0.155 14 4.25 
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表 2 无量纲骨料修正因子η和β
Table 2. Dimensionless modified factors η and β
fc/MPa 骨料类型 η β fc/MPa 骨料类型 η β fc/MPa 骨料类型 η β 13.5 石英石 1 1.44 62.8 石英石 1 0.71 58.4 石灰石 0.43 0.38 21.6 石英石 1 1.23 34.8 石灰石 0.43 0.57 61.3 石灰石 0.43 0.37 51 石英石 1 0.81 48.6 石灰石 0.43 0.44 76.4 石灰石 0.43 0.31
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