Numerical simulation and engineering design method for prefabricated concrete bursting layer subjected to projectile penetration
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摘要: 为更好地将湿接缝+短钢筋装配式混凝土遮弹层应用于防护工程中，首先，基于已有弹体侵彻整体式和装配式靶体的试验，利用Kong-Fang混凝土材料模型和LS-DYNA中的光滑粒子伽辽金算法建立了相应的数值模型，并得到了验证；然后，基于验证的数值模型，系统探讨了装配块尺寸、湿接缝宽度、短钢筋锚固长度、短钢筋间距和短钢筋直径对装配式靶体抗侵彻性能的影响，给出了装配式混凝土遮弹层的工程设计方法；最后，采用该方法设计了抗2种典型战斗部侵彻的装配式高性能混凝土遮弹层。数值模拟结果表明：装配块尺寸对装配式靶体的抗侵彻性能影响较小，而增加湿接缝宽度能够有效提升装配式靶体的抗侵彻性能，即湿接缝宽度越大，装配率越低，靶体整体性就越好。短钢筋是加强装配块与湿接缝连接的有效措施，与增加短钢筋直径相比，增加短钢筋锚固长度和减小短钢筋间距能更显著地提升装配式靶体的抗侵彻性能。Abstract: Prefabricated concrete bursting layer has a very important application prospect in the field of protective engineering attributed to its technical advantages including high construction efficiency and construction quality. However, compared with the monolithic cast-in-situ concrete bursting layer, the impact resistance of the prefabricated concrete bursting layer may be significantly reduced because of the interfaces between the prefabricated blocks and the cast-in-situ part. Therefore, it is important for engineers to reasonably design the prefabricated concrete bursting layer to make its penetration resistance comparable to the monolithic one. To this end, a kind of prefabricated bursting layer connected by wet joints and rebars was proposed in our previous study. In order to apply the prefabricated bursting layer in protective engineering, a series of numerical models were developed to further study its penetration resistance. Firstly, based on the Kong-Fang model and smoothed particle Galerkin (SPG) method, the numerical models were developed and validated against the experimental data of projectile penetrating monolithic and prefabricated targets. Then, the validated numerical models were further used to investigate the influences of prefabricated block size, wet joint width and anchorage length, spacing and diameter of rebars on the penetration resistance of prefabricated targets. Numerical results indicate that increasing the width of wet joints, reducing the spacing between rebars, and extending the anchorage length of rebars can significantly enhance the penetration resistance of prefabricated targets. After clarifying the influences of these parameters, an engineering design method for a prefabricated concrete bursting layer was proposed. Finally, based on this method, two prefabricated high performance concrete targets subjected to two typical types of warhead penetration were designed. Numerical results show that the penetration resistances of two prefabricated targets were comparable to monolithic targets. The proposed engineering design method can provide a reference for engineering applications of prefabricated concrete bursting layers connected by the wet joints and rebars.
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Key words:
- penetration /
- concrete /
- prefabricated bursting layer /
- engineering design
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图 2 整体式靶体和装配式靶体的数值模型
Figure 2. Numerical models for monolithic target and prefabricated target
图 3 侵彻深度、靶体开坑损伤破坏的数值模拟结果与试验值的对比
Figure 3. Comparisons of numerically predicted penetration depth and damage contour at frontal surfaces with test data
图 5 不同装配块尺寸的靶体数值模型
Figure 5. Numerical models for prefabricated targets with various sizes of prefabricated blocks
图 6 不同装配块尺寸工况下弹体的侵彻深度及加速度时程曲线
Figure 6. Penetration depth and time history curves of projectile acceleration for cases with various block sizes
图 7 不同湿接缝宽度的靶体数值模型
Figure 7. Numerical models for prefabricated targets with various widths of wet joints
图 8 不同湿接缝宽度工况下弹体侵彻深度及加速度时程曲线
Figure 8. Penetration depth and time history curves of projectile acceleration for cases with various widths of wet joints
图 9 不同短钢筋锚固长度的装配块
Figure 9. Prefabricated blocks with different anchorage lengths of rebars
图 10 预制块内短钢筋的布置（M*=9.375）
Figure 10. Layout of rebars inside prefabricated block (M*=9.375)
图 11 M*=3.125和M*=12.500工况下靶体内钢筋等效塑性应变云图
Figure 11. Numerically predicted effective plastic strain contour of rebars for Case M-3d0 and M-12d0
图 14 装配块的尺寸信息（单位：mm）
Figure 14. Dimensions of prefabricated blocks for two warheads (unit: mm)
试验编号 弹体质量/kg 侵彻速度/(m·s−1) 侵彻深度/m Dh/m Dv/m D1/m D2/m Dm/m ZT-1 35.58 365 0.75 1.04 1.06 1.05 1.15 1.08 ZP-2 35.66 359 0.74 0.43 0.54 0.69 0.69 0.59 
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表 2 不同装配块尺寸工况下弹体侵彻深度和靶体损伤云图
Table 2. Numerically predicted penetration depth and damage contours in prefabricated targets with various block sizes
V* 装配率/% h* 损伤云图 V* 装配率/% h* 损伤云图 3.2 39 1.176 
5.6 54 1.167 
4.0 46 1.174 
6.4 57 1.172 
4.8 50 1.174 
7.2 63 1.162 
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表 3 不同湿接缝宽度工况下弹体侵彻深度和靶体损伤云图
Table 3. Numerically predicted penetration depth and damage contours in prefabricated targets with various widths of wet joints
S* 装配率/% h* 损伤云图 S* 装配率/% h* 损伤云图 0.8 69 1.256 
2.4 39 1.151 
1.2 59 1.235 
2.8 35 1.140 
1.6 50 1.206 
3.2 32 1.120 
2.0 46 1.174 
4.0 26 1.096 
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表 4 不同短钢筋锚固长度工况下弹体侵彻深度和靶体损伤云图
Table 4. Numerically predicted penetration depth and damage contours in targets for different anchorage lengths of rebars
M* 配筋率/% h* 损伤云图 M* 配筋率/% h* 损伤云图 0 0 1.174 
9.375 1.18 1.098 
3.125 0.40 1.132 
12.500 1.57 1.083 
6.250 0.81 1.115 
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表 5 不同短钢筋间距工况下弹体侵彻深度和靶体损伤云图
Table 5. Numerically predicted penetration depth and damage contours in targets for different spacing of rebars
J* 配筋率/% h* 损伤云图 J* 配筋率/% h* 损伤云图 4.4 0.37 1.152 
1.2 1.63 1.098 
3.6 0.82 1.129 
0.9 2.00 1.083 
1.8 1.18 1.098 
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表 6 不同短钢筋直径工况下弹体侵彻深度和靶体损伤云图
Table 6. Numerically predicted penetration depth and damage contours in targets for different diameters of rebars
d0/mm 配筋率/% h* 损伤云图 d0/m 配筋率/% h* 损伤云图 6 0.17 1.142 
22 2.24 1.085 
12 0.67 1.135 
25 2.89 1.082 
16 1.18 1.098 
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