基于物理及元建模法的TB15钛合金本构模型研究  

Constitutive Model of TB15 Titanium Alloy Based on Physics and Meta-modeling

作　　者：吴轩轩 董显娟[1] 徐勇 鲁世强[1] 涂泽立 王宇航 Wu Xuanxuan;Dong Xianjuan;Xu Yong;Lu Shiqiang;Tu Zeli;Wang Yuhang(School of Aeronautical Manufacturing Engineering,Nanchang Hangkong University,Nanchang 330063,China;School of General Aviation,Nanchang Hangkong University,Nanchang 330063,China)

机构地区：[1]南昌航空大学航空制造工程学院,江西南昌330063 [2]南昌航空大学通航学院,江西南昌330063

出　　处：《稀有金属材料与工程》2024年第5期1409-1416,共8页Rare Metal Materials and Engineering

基　　金：航空科学基金(2020Z047056003);江西省重点研发计划(20202BBEL53012);江西省研究生创新专项基金(GA202100312)

摘　　要：采用Gleeble-3800热模拟机对TB15钛合金进行等温恒应变速率热压缩试验,研究其在变形温度为810~930℃、应变速率为0.001~10 s^(-1)和高度压下量为60%条件下的热变形行为;建立了物理、支持向量回归(SVR)和响应面3种本构关系模型来预测TB15钛合金的流动应力,同时对比了3种本构模型的预测精度。结果表明:TB15钛合金的流动应力随应变速率的降低和变形温度的升高而减小,峰值应力的变化对应变速率的敏感性更高;物理本构模型、SVR本构模型和响应面本构模型相关系数R均大于0.98,但是响应面本构模型的R值达到了0.993,而且响应面本构模型的相对误差在±5%范围内的预测值频率达到了67.9%,大于物理本构模型的58.6%。同时经过方差分析得到所构建的响应面本构模型的显著性检验值P<0.0001,表明响应面本构模型预测的流动应力与变形温度、应变速率和应变之间的回归关系显著,比物理本构模型和SVR本构模型有更高的精度,能够更好的预测TB15钛合金的流动应力。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 under deformation temperatures of 810-930°C,strain rate of 0.001-10-s^(-1) and height depression of 60%;three constitutive relationship models,including physics,support vector regression(SVR)and response surface,were developed to predict the flow stresses of TB15 titanium alloy and the prediction accuracy of the three constitutive models was compared.The results show that the flow stress of TB15 titanium alloy decreases with the decrease in the strain rate and the increase in deformation temperature,and the change of peak stress is more sensitive to the strain rate;the correlation coefficient R of physics,SVR and response surface constitutive models is 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 reaches 67.9%,which is greater than that of the physics constitutive model(58.6%).The significance test value P<0.0001 of the constructed response surface constitutive model is also obtained by ANOVA,indicating that the regression relationship of the flow stress predicted by the response surface constitutive model with the deformation temperature,strain rate and strain is significant and has higher accuracy than the physics and SVR constitutive models,which can better predict the flow stress of TB15 titanium alloy.

关 键 词：TB15钛合金 本构模型 响应面 显著性检验值 

分 类 号：TG146.23[一般工业技术—材料科学与工程]