Dynamic constitutive relation based on J-C model of Q235 steel
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摘要: 采用万能材料试验机、分离式霍普金森压杆和拉杆系统，研究了Q235钢在常温至900 ℃的准静态和动态压缩及拉伸力学性能。基于实验结果，修正了Johnson-Cook（J-C）本构模型中的温度软化项，提出了Q235钢的修正J-C本构模型，并利用Taylor撞击实验和数值仿真验证了其动态本构关系。
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关键词:
- 动态力学性能 /
- 本构关系 /
- Taylor撞击 /
- Q235钢 /
- Johnson-Cook本构模型
Abstract: In this paper, we studied the quasi-static performance and the dynamic compression and tensile properties of the Q235 steel at temperatures ranging from the room temperature to 900 ℃ using a universal testing machine and the split Hopkinson bar system. Based on the experimental results, we modified the thermal softening item in the Johnson-Cook (J-C) constitutive model and proposed a revised J-C constitutive model for Q235 steel, which we then validated using Taylor impact experiments and corresponding numerical simulations. -
图 1 常温准静态拉伸试件尺寸(单位：mm)
Figure 1. Specimen sizes for quasi-static tensile test at room temperature (Unit: mm)
图 3 实验以及两种模型拟合得到的真应力-应变曲线对比
Figure 3. Comparison of experimental true stress-strain curves with fitted results by two models
图 4 实验和仿真得到的载荷-位移曲线对比
Figure 4. Comparison of experimental load-elongation curves with numerical iterations
图 5 仿真得到的等效应力-应变关系
Figure 5. Equivalent stress-strain relations obtained by numerical simulations
图 6 动态拉伸试样及卡口连接
Figure 6. Specimen in dynamic tensile tests and shape of fastener and connection
图 7 不同应变率下Q235钢的真应力-真应变曲线
Figure 7. True stress-strain relations for Q235 steel at different strain rates
图 8 Q235钢的屈服应力随无量纲应变率的变化
Figure 8. Variation of yield stress of Q235 steel with dimensionless strain rate
图 9 高温准静态拉伸试件尺寸(单位：mm)
Figure 9. Specimen sizes for quasi-static tensile test at high temperature (Unit: mm)
图 10 不同温度下的工程应力-应变曲线
Figure 10. Engineering stress vs.strain at different temperatures
图 14 Taylor实验和仿真得到的弹体变形对比
Figure 14. Comparison of projectile deformation between Taylor test and numerical simulations
表 1 Q235钢的本构模型参数
Table 1. Parameters of constitutive model for Q235 steel
ρ/(g·cm-3) E/GPa ν Tr/K Tm/K ${{\dot{\varepsilon }}_{0}}$/s-1 χ cp/(J·kg-1·K-1) 7.8 200 0.33 293 1 795 2.1×10-3 0.9 469 A/MPa B/MPa n C m1 m2 m 293.8 230.2 0.578 0.065 2 1.762 1.278 0.706 
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