J-C model based failure criterion and verification of Q235 steel
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摘要: 使用Instron材料试验机、霍普金森拉杆（SHTB）对Q235钢试件进行了不同温度下的准静态和动态拉伸实验，研究了温度、应变率及应力三轴度对Q235钢失效应变的影响，结果表明：Q235钢失效应变随温度的升高而增加，随应变率的增加而减小，随应力三轴度的增加先减小后增加再减小。基于实验结果对Q235钢J-C失效模型中的温度项进行了修正，并结合数值模拟提出了基于J-C失效模型的应力三轴度三分段式失效准则，通过Taylor撞击实验和数值模拟对给出的模型相关参量进行了验证，实验与模拟结果吻合较好。Abstract: In this paper, we conducted quasi-static and dynamic tensile tests on Q235 steel at different temperatures using the Instron tensile strength tester and the split Hopkinson bar and studied the effects of temperature, strain rates and stress triaxiality on the steel's failure strains of Q235. The results show that Q235 steel's failure strains increase with a rise in temperature but decrease with a rise the strain rates while, with a rise in the stress triaxiality, they decrease at first but then increase. Based on these results and combining them with numerical simulation, we modified the item of temperature effects and proposed a revised three-section failure criterion of stress triaxiality for J-C failure model, with relevant parameters determined and verified using Taylor impacting experiments and corresponding numerical simulations. The experimental results accord well with those from simulation.
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Key words:
- Q235 steel /
- failure criterion /
- stress triaxiality /
- Taylor impact
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图 3 有限元模型及计算Mises应力云图
Figure 3. Numerical model and Mises stress nephogram for a flat specimen at the time of necking
图 4 试件的实验和模拟的载荷位移曲线对比
Figure 4. Comparison between tests and simulations of load-elongation curves
图 6 应力三轴度随等效应变的变化
Figure 6. Variation of the stress triaxiality with equivalent strain
图 7 断裂应变随应力三轴度的变化
Figure 7. Variation of fracture strain with the average stress triaxiality
图 8 常温下拉伸试件尺寸(单位：)
Figure 8. Dimensions of quasi-static tensile samples tested at room temperature (unit: mm)
图 9 动态拉伸试样及卡口连接
Figure 9. Specimen in dynamic tensile tests and the fastener connection
图 10 断裂应变随无量纲应变率的变化
Figure 10. Variation of fracture strain with dimensionless strain rates
图 11 平板试件在不同温度下的断口形式
Figure 11. Fracture patterns of flat specimens at different temperatures
图 12 断裂应变随无量纲温度的变化
Figure 12. Variation of fracture strain with dimensionless temperature
图 13 Taylor撞击数值模拟有限元模型
Figure 13. Geometrical model of FEM modelling for Taylor impact tests
图 14 Taylor撞击实验弹体临界开裂实验和数值模拟对比
Figure 14. Critical fractures obtained in Taylor experiments and predicted by simulation
图 15 Q235弹在高速下的Taylor撞击实验结果与数值模拟结果对比
Figure 15. Rod fracture patterns obtained in Taylor experiments and predicted by simulation for Q235 projectiles at high velocities
表 1 Q235钢的失效模型相关参数
Table 1. Material parameters for Q235 steel
E/GPa ν ρ/(kg·m-3) Tr/K Tm/K cp/(J·kg-1·K-1) χ ˙ε0/s-1 200 0.33 7 800 293 1 795 469 0.9 2.1×10-3 D01 D02 D03 D1 D2 D3 D4 D5 D6 0.511 -6.80 4.047 0.472 18.728 -7.805 -0.019 3 13.017 2.338 
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