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基于物理及元建模法的TB15鈦合金本構模型研究
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作者單位:

1.南昌航空大學 航空制造工程學院;2.南昌航空大學 通航學院

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中圖分類號:

TG146.23

基金項目:

航空科學基金(2020Z047056003);江西省重點研發(fā)計劃(20202BBEL53012);江西省研究生創(chuàng)新專項基金(GA202100312)


Constitutive model of TB15 titanium alloy based on physics and meta-modeling
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Fund Project:

Aviation Science Foundation (2020Z047056003); Jiangxi Key R&D Program (20202BBEL53012); Jiangxi Postgraduate Innovation Special Fund (GA202100312)

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    摘要:

    采用Gleeble-3800熱模擬機對TB15鈦合金進行等溫恒應變速率熱壓縮試驗,研究其在變形溫度為810~930℃、應變速率為0.001~10s-1和高度壓下量為60%條件下的熱變形行為;建立了物理、支持向量回歸(SVR)和響應面三種本構關系模型來預測TB15鈦合金的流動應力,同時對比了三種本構模型的預測精度。結果表明:TB15鈦合金的流動應力隨應變速率的降低和變形溫度的升高而減小,峰值應力的變化對應變速率的敏感性更高;物理本構模型、SVR本構模型和響應面本構模型相關系數(shù)R均大于0.98,但是響應面本構模型的R值達到了0.993,而且響應面本構模型的相對誤差在±5%范圍內的預測值頻率達到了67.9%,大于物理本構模型的58.6%。同時經過方差分析得到所構建的響應面本構模型的顯著性檢驗值P<0.0001,表明響應面本構模型預測的流動應力與變形溫度、應變速率和應變之間的回歸關系顯著,比物理本構模型和SVR本構模型有更高的精度,能夠更好的預測TB15鈦合金的流動應力。

    Abstract:

    The Gleeble-3800 thermal simulator was used to conduct isothermal constant strain rate thermal compression tests on TB15 titanium alloy to study its thermal deformation behavior at deformation temperatures of 810-930°C, strain rates of 0.001-10s-1 and height depression of 60%; three constitutive relationship models, physical, support vector regression (SVR) and response surface, were developed to predict the flow stresses of TB15 titanium alloy were predicted by three physical, support vector regression (SVR) and response surface constitutive models, and the prediction accuracy of the three constitutive models was compared. The results show that the flow stress of TB15 titanium alloy decreases with decreasing strain rate and increasing deformation temperature, and the change of peak stress is more sensitive to the strain rate; the correlation coefficient R of physical, SVR and response surface constitutive models are all greater than 0.98, but the R value of response surface constitutive model reaches 0.993, and the frequency of the relative error of the response surface constitutive models ±5% of the predicted value reached 67.9%, which was greater than that of the physical constitutive models at58.6%. The significance test value P<0.0001 of the constructed response surface constitutive model was also obtained by ANOVA, indicating that the regression relationship between the flow stress predicted by the response surface constitutive model and the deformation temperature, strain rate and strain was significant and had higher accuracy than the physical constitutive model and SVR constitutive model, which could better predict the flow stress of TB15 titanium alloy.

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吳軒軒,董顯娟,徐勇,魯世強,涂澤立,王宇航.基于物理及元建模法的TB15鈦合金本構模型研究[J].稀有金屬材料與工程,2024,53(5):1409~1416.[Wu Xuanxuan, Dong Xianjuan, Xu Yong, Lu Shiqiang, Tu Zeli, Wang Yuhang. Constitutive model of TB15 titanium alloy based on physics and meta-modeling[J]. Rare Metal Materials and Engineering,2024,53(5):1409~1416.]
DOI:10.12442/j. issn.1002-185X.20230163

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  • 收稿日期:2023-03-29
  • 最后修改日期:2023-06-09
  • 錄用日期:2023-06-26
  • 在線發(fā)布日期: 2024-05-28
  • 出版日期: 2024-05-22