A multi-stage computational inverse technique for identification of the dynamic constitutive parameters of concrete
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摘要: 基于不同应变率下的分离式Hopkinson压杆实验，提出了一种混凝土材料动态本构参数的分阶段反求方法。该分阶段反求方法中，结合不同的实验模型对未知参数进行敏感性分析，并依据敏感程度对参数进行分类，每类参数对应于1组实验，再利用反求方法分阶段确定各类参数，在每一类参数反求时均将上一次反求结果作为已知条件。结果表明，该分阶段反求方法充分利用所有实验的测量响应信息，能快速获取混凝土本构中较难确定的关键参数，为参数的确定提供了一种有效的途径。Abstract: A multi-stage computational inverse technique is presented to determine the dynamic constitutive parameters of concrete based on the split Hopkinson pressure bar tests at different strain rate loadings.In this method, sensitivity analysis for parameters is carried out based on different experimental models and classification for the parameters is performed according to sensitivity, then the parameters are determined step by step through the inverse method.During parameters identification by multi-stage inverse method, last identified results are applied to current parameters identification.The results indicate that this method obtains the parameters rapidly, which are determined difficultly and expensively by traditional method, combining with different experiments.It is a potentially effective and useful tool to identify material constitutive parameters.
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Key words:
- solid mechanics /
- inverse problem /
- multi-stage /
- parameters identification /
- SHPB test /
- HJC constitutive model
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图 1 分阶段参数反求流程图
Figure 1. Flow chart of the multi-stage inverse technique for parameters identification
图 2 SHPB的二维轴对称有限元模型
Figure 2. 2D axisymmetric finite element model for the SHPB experiment
图 3 基于工况1对参数A、B、C、N敏感性分析
Figure 3. Sensitivity analysis for parameters A, B, C, N based on case 1
图 5 工况1的计算结果与实验结果比较
Figure 5. The computational results for case 1 compared with experimental data
图 6 工况2的计算结果与实验结果比较
Figure 6. The computational results for case 2 compared with experimental data
图 7 工况3的计算结果与实验结果比较
Figure 7. The computational results for case 3 compared with experimental data
表 1 混凝土HJC本构模型的基本参数
Table 1. The material parameters for HJC concrete constitutive model
ρ0/(g·cm-3) fc/MPa E/GPa G/GPa T/MPa D1 D2 Smax 2.405 57.7 37.93 15.8 4.53 0.04 1.0 7 Pcrush/MPa μcrush Plock/GPa μplock μlock K1/GPa K2/GPa K3/GPa 19.23 0.9×10-3 6.0 0.238 5 0.143 5 85 -171 208 
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表 2 分阶段参数反求的结果
Table 2. The inversed results by multi-stage inverse technique
反求阶段 实验 反求参数 搜索区间 反求结果 第1阶段 低应变率实验, case 1 A [0.2, 1.0] 0.828 6 B [0.4, 1.5] 0.671 0 N [0.5, 1.2] 0.628 2 第2阶段 高应变率实验, case 3 C [0.05, 0.2] 0.150 0
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