Statistical Study on Dynamic Fragmentation of Multiple Metal Rings
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摘要: 建立了开展多个金属环动态破碎研究的实验平台，详细介绍了该平台的实验装置布局、起爆系统和原理，并进行金属铝和铜的动态加载实验，通过对回收碎块的分析，得出金属碎块的断裂应变以及满足的统计分布。结果表明，该实验平台能够实现同时且稳定加载多个金属环，金属碎块数目和质量的统计规律可以通过Weibull函数拟合。Abstract: An experimental platform is built to investigate the dynamic fragmentation of multiple metal rings, the layout of multiple metal rings, initiation system and principle, are detailed.Then the platform is applied to conduct the dynamic loading of pure aluminium and oxygen-free electronic copper materials, and the fractured strain and statistical distribution of reassembled fragments are obtained.It is shown that the experimental platform can achieve simultaneous and stable loading of multiple metal rings.Morever, the statistical distribution is well fitted by the Weibull function.
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Key words:
- expanding ring /
- dynamic fragmentation /
- statistical analysis
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图 1 多环膨胀动态破碎实验平台
Figure 1. Experimental platform for dynamic fragmentation of multiple rings
图 3 不同最大膨胀速度条件下铝材料回收碎块的统计分析
Figure 3. Statistical analysis of recovered Al fragments with different maximum expansion velocities
图 4 不同最大膨胀速度条件下铜材料回收碎块的统计分布及拟合结果
Figure 4. Statistical analysis of experimental and fitting results for Cu fragments with different maximum expansion velocities
表 1 第1发实验中10个金属环动态破碎结果
Table 1. Dynamic fragmentation results of 10 metal rings in the first experiment
Ring No. Material Fragment
numberTotal mass/
(mg)length/
(mm)εe 1 Al 1 347 156 0.182 3 2 Al 1 368 157 0.189 9 3 Al 1 363 156 0.182 3 4 Al 2 357 156 0.182 3 5 Al 2 347 156 0.182 3 6 Cu 5 1 165 152 0.152 0 7 Cu 4 1 150 151 0.144 4 8 Cu 3 1 138 151 0.144 4 9 Cu 3 1 133 150 0.136 8 10 Cu 4 1 162 149 0.129 2 
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表 2 5发动态破碎实验的结果
Table 2. Experimental results of 5 dynamic fragmentation
Test No. Expansion
velocity/(m/s)Strain
rate/(103s-1)Fragment
numberTotal
mass/(mg)Average fractured
strainAl-1 110 5.24 7 1 640 0.189 9 Al-2 112 5.33 10 1 728 0.200 5 Al-3 110 5.24 6 1 735 0.167 1 Al-4 128 6.10 40 1 569 0.148 1 Al-5 128 6.10 36 1 561 0.183 1 Cu-1 82 3.90 19 5 748 0.141 4 Cu-2 82 3.90 24 5 763 0.148 9 Cu-3 80 3.81 19 5 745 0.153 5 Cu-4 118 5.62 45 5 450 0.138 2 Cu-5 118 5.62 44 5 575 0.160 8
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表 3 铜材料破碎统计的拟合参数
Table 3. Fitting parameters of statistical fragments of Cu material
Test No. m0/(mg) mmin/(mg) mave/(mg) χ Cu-1 250.39 105.50 302.53 0.83 Cu-2 190.22 81.28 240.13 0.79 Cu-3 290.20 87.77 302.37 0.96 Cu-4 104.72 30.48 121.11 0.86 Cu-5 126.69 11.50 126.70 1.00
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