Study on Constitutive Model for Titanium Alloy by Coupling Strain-temperature and Dynamic Crystallization
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摘要: Ti-6Al-4V合金的高速切削加工是一个复杂的高温高应变率的热力耦合过程,为更加准确研究Ti-6Al-4V合金在高温高应变率下的真实应力-应变关系,构建了一种修正Johnson-Cook(J-C)本构模型。修正的J-C本构模型综合考虑了塑性阶段应变硬化率会随加载温度的升高而降低的现象,以及在达到高温动态结晶效应的临界温度时,Ti-6Al-4V合金的流动应力会急剧下降的现象。基于修正J-C本构模型的流动应力-应变预测结果与试验数据吻合程度良好,误差率在8%以内,准确的反映了Ti-6Al-4V合金在不同加载温度下的真实应力-应变关系。
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关键词:
- Ti-6Al-4V合金 /
- 应变硬化率 /
- 再结晶 /
- 本构模型
Abstract: The high-speed machining of Ti-6Al-4V alloy is a complicated thermal coupling process with high temperature and high strain rate. In order to study the true stress-strain relationship of Ti-6Al-4V alloy at high temperature and high strain rate, a modified Johnson-cook (J-C) constitutive model was constructed. The modified J-C constitutive model considers that the strain hardening rate will decrease with the increasing of temperature in the plastic phase and that the flow stress of Ti-6Al-4V alloy will decrease sharply when the critical temperature of high temperature dynamic crystallization effect is reached. The predicted flow stress-strain results via modified J-C constitutive model are in a good agreement with the test data, and the error rate is within 8%, which accurately reflects the true stress-strain relationship of Ti-6Al-4V alloy at different loading temperatures.-
Key words:
- Ti-6Al-4V /
- strain hardening rate /
- recrystallize /
- constitutive model
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表 1 Ti-6Al-4V合金的J-C本构模型的参数[23]
A/MPa B/MPa n C m 997.5 653.1 0.45 0.019 8 0.7 表 2 Ti-6Al-4V合金的修正J-C本构模型的参数
A/MPa B/MPa n C m r $\overline {\left( {\dfrac{{{\sigma _b}}}{{{\sigma _a}}}} \right)} $ 998 651.9 0.450 0.0195 0.7 0.085 0.75 表 3 修正前后J-C本构方程预测值与实验数据对比
温度/
℃应变 ${\sigma _E}/{\rm{MPa}}$ ${\sigma _{JC}}/{\rm{MPa}}$ ${\sigma _{MJC}}/{\rm{MPa}}$ ${\varDelta _1}/\text{%}$ ${\varDelta _2}/\text{%}$ 200 0.10 1120.08 1056.32 1071.22 5.71 4.37 0.15 1150.25 1094.93 1105.58 4.81 3.88 0.20 1172.84 1265.55 1134.91 7.90 3.23 0.25 1220.31 1295.36 1182.10 6.15 3.13 600 0.10 752.23 827.65 700.83 10.01 6.83 0.15 768.56 854.43 741.95 11.18 3.46 0.20 783.25 873.22 772.66 11.43 1.35 0.25 807.89 897.16 758.15 12.03 6.16 1000 0.10 305.52 423.47 305.79 38.61 2.47 0.15 302.31 440.76 315.60 45.80 4.40 0.20 300.97 492.71 323.73 63.71 7.56 0.25 299.48 506.61 325.81 70.30 7.92 -
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