Numerical simulation of blasting damage in concrete using a coupled SPH-FEM algorithm
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摘要: 为了提高计算效率以及更好展现爆炸荷载下混凝土破坏过程，采用SPH-FEM耦合法对混凝土爆破成坑进行模拟。首先结合前人给出的C30混凝土Holmquist-Johnson-Cook（HJC）部分本构参数，通过理论推导等方法确定出剩余的参数；然后代入模型中计算，将数值解与实测数据进行对比；最后以峰值压力和峰值加速度作为考察对象，对HJC模型中21个参数敏感性进行分析。结果表明：SPH-FEM耦合法能直观地模拟爆炸荷载作用下爆坑的发展全过程，且能够较好地处理SPH边界问题；基于所给出的C30混凝土HJC本构参数，采用SPH-FEM耦合法对混凝土爆破破坏进行模拟，计算结果与实测数据吻合度高，表明HJC本构参数的确定具有合理性。此外，还发现HJC本构参数对爆破问题结果的敏感度各不相同，指出对峰值压力和峰值加速度均有较大影响的参数在确定的时候需引起足够的重视。
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关键词:
- 混凝土 /
- 爆破损伤 /
- SPH-FEM耦合法 /
- HJC本构 /
- 参数敏感度
Abstract: To improve the calculation efficiency and describe the failure process of concrete under blast loading, a coupled SPH-FEM algorithm was used to simulate blast crater of concrete in this study. First, based on the partial Holmquist-Johnson-Cook(HJC) constitutive parameters of C30 concrete, and the remaining parameters determined via theoretical derivation, the numerical calculation was performed and the results were then compared with the measured data by taking the parameters into the numerical model. The sensitivities of 21 parameters for the HJC model were finally analyzed with peak pressure and peak acceleration. The results show that the coupled SPH-FEM algorithm can simulate the whole process of blast crater under the blast loading, and it may accurately deal with the SPH boundary problem. Based on the parameters of C30 concrete HJC model, the calculated results of the coupled algorithm agree well with the experimental ones, which demonstrates the rationality of the determining method for HJC constitutive parameters. In addition, the parameters have different sensitivities to the results of blast problem, and these parameters significantly influencing the peak pressure and peak acceleration should be paid enough attention in the process of its determination.-
Key words:
- concrete /
- blasting damage /
- coupled SPH-FEM algorithm /
- HJC constitutive model /
- parameter sensitivity
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图 11 峰值压力对HJC参数敏感性分析
Figure 11. Sensitivity analysis of peak pressure for HJC parameters
图 12 峰值加速度对HJC参数敏感性分析
Figure 12. Sensitivity analysis of peak acceleration for HJC parameters
表 1 C30混凝土HJC参数
Table 1. HJC parameters of C30 concrete
ρ0/(kg·m-3) fc/MPa A B C Smax G/GPa T/MPa D1 D2 2 400 39.2 1.05 1.65 0.007 7 13.89 3.162 0.04 1 Pcrush/MPa μcrush Plock/GPa μlock K1/GPa K2/GPa K3/GPa EFmin N FS 13.07 0.000 7 0.8 0.1 85 -171 208 0.01 0.76 1.34 
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表 2 不同测点处计算结果与实测结果对比
Table 2. Comparison between calculated results and measured results at different test points
测点 比例距离
Z/(m·kg-1/3)峰值压力Pm/MPa 峰值加速度am/(m·s-2) 实测 计算 误差/% 实测 计算 误差/% 1 0.255 95.29 93.81 -1.55 63.85×104 59.13×104 -7.39 2 0.515 26.81 24.43 -8.88 12.20×104 11.04×104 -9.51 3 0.810 11.77 13.16 11.81 4.01×104 5.32×104 32.83 4 1.256 4.82 4.90 1.66 1.53×104 1.75×104 14.49 5 1.879 2.56 2.58 0.78 0.74×104 0.84×104 13.82 6 2.504 1.59 1.63 2.52 0.32×104 0.38×104 17.83
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表 3 参数敏感度
Table 3. Parameter sensitivit
敏感度 ρ fc A B C Smax G T D1 D2 Pcrush μcrush Plock μlock K1 K2 K3 EFmin N FS 对Pm的敏感度S 0.558 0 0.612 0 0.462 4 0.499 3 0.161 8 0.049 2 1.298 8 0.006 2 0.006 2 0.314 4 1.000 1 0.623 4 0.521 5 0.799 7 0.209 5 0.236 0 0.218 4 0.010 3 0.765 5 0.000 0 对am的敏感度S 0.344 2 0.633 7 0.263 3 0.293 3 0.132 2 0.085 8 0.354 6 0.035 8 0.005 9 0.209 5 0.182 9 0.768 8 0.514 6 1.459 0 0.194 3 0.075 6 0.067 5 0.012 1 0.050 4 0.000 0
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