华南地震

利用连续盖帽(CSCM)本构模型,对钢纤维页岩陶粒混凝土的分离式霍普金斯压杆(SHPB)试验进行数值模拟,对其动态抗压强度进行分析。以材料的钢纤维掺量为基本参数,考虑钢纤维掺量的影响建立材料动态抗压强度计算公式,并依此对已有的CSCM本构模型中的应变率效应部分进行修正,使之适用于钢纤维页岩陶粒混凝土材料,同时运用有限元程序LS-DYNA,采用修正后的CSCM本构模型,对钢纤维页岩陶粒混凝土SHPB试验进行模拟。模拟结果验证了该本构模型的合理性,钢纤维页岩陶粒混凝土材料的动态抗压强度可表示为与钢纤维掺量相关的表达式,在应变率低于80/s的中低速率范围内,随着钢纤维掺量的增大,各应变率下钢纤维页岩陶粒混凝土动态抗压强度均有所提高,模拟结果还显示相较不考虑应变率效应的CSCM模型,考虑应变率效应修正后的CSCM模型能更精确地模拟钢纤维页岩陶粒混凝土材料的动态抗压强度。

In this paper,the CSCM constitutive model is used to simulate the SHPB test of steel fiber shale ceramsite concrete,and the dynamic compressive strength is analyzed. Taking the content of steel fiber as the basic parameter and considering the influence of content of steel fiber,the formula for calculating the dynamic compressive strength of the material is established,and the strain rate effect in the existing CSCM constitutive model is modified to make it suitable for steel fiber shale ceramsite concrete. At the same time,the modified CSCM constitutive model is adopted by the finite element program LS-DYNA. The SHPB test of steel fiber shale ceramsite concrete is simulated and analyzed. The simulation results verify the rationality of the modified CSCM model. The dynamic compressive strength of steel fiber shale ceramsite concrete can be expressed as an expression related to the content of steel fiber,and increases with the increase of content when the strain rate is under 80/s. Compared with the CSCM model without considering the strain rate effect,the modified CSCM model considering the strain rate effect can simulate the dynamic compressive strength of steel fiber shale ceramsite concrete more accurately.

引言
1 抗压强度DIF经验公式
2 修正CSCM本构模型
3 试验数值模拟
4 结语

表1 钢纤维页岩陶粒混凝土SHPB试验结果<br/>Table 1 SHPB test results of steel fiber shale ceramsite concrete

表1 钢纤维页岩陶粒混凝土SHPB试验结果
Table 1 SHPB test results of steel fiber shale ceramsite concrete

图1 静压强度 - 钢纤维掺量c曲线<br/>Fig.1 The curve of static pressure strength with content of steel fiber

图1 静压强度 - 钢纤维掺量c曲线
Fig.1 The curve of static pressure strength with content of steel fiber

图2 DIF - 应变率曲线<br/>Fig.2 The curve of DIF with strain rate

图2 DIF - 应变率曲线
Fig.2 The curve of DIF with strain rate

图3 无筋混凝土DIF - 应变率曲线<br/>Fig.3 The curve of DIF with strain rate for concrete with no fiber

图3 无筋混凝土DIF - 应变率曲线
Fig.3 The curve of DIF with strain rate for concrete with no fiber

表2 钢纤维页岩陶粒混凝土应变率相关参数<br/>Table 2 Parameters of strain rate for steel fiber shale ceramsite concrete

表2 钢纤维页岩陶粒混凝土应变率相关参数
Table 2 Parameters of strain rate for steel fiber shale ceramsite concrete

图4 应变率参数拟合<br/>Fig.4 Parameter regression of strain rate

图4 应变率参数拟合
Fig.4 Parameter regression of strain rate

图5 动态抗压强度-应变率曲线<br/>Fig.5 The curve of dynamic compressive strength with strain rate

图5 动态抗压强度-应变率曲线
Fig.5 The curve of dynamic compressive strength with strain rate

图6 DIF-应变率曲线<br/>Fig.6 The curve of DIF with strain rate

图6 DIF-应变率曲线
Fig.6 The curve of DIF with strain rate

图7 SHPB试验有限元模型（试块及透射杆局部)<br/>Fig.7 FE model of SHPB test(specimen and transmitter bar)

图7 SHPB试验有限元模型（试块及透射杆局部)
Fig.7 FE model of SHPB test(specimen and transmitter bar)

表3 动态抗压强度数值模拟结果对比<br/>Table 3 Comparison of numerical simulation results of dynamic compressive strength

表3 动态抗压强度数值模拟结果对比
Table 3 Comparison of numerical simulation results of dynamic compressive strength

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备注

引言

1 抗压强度DIF经验公式

2 修正CSCM本构模型

3 试验数值模拟

4 结语

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