工程科学学报，第40卷，第2期：226-232,2018年2月 Chinese Journal of Engineering,Vol.40,No.2:226-232,February 2018 DOI:10.13374/j.issn2095-9389.2018.02.013;http://journals.ustb.edu.cn 工业纯钛TA2热变形过程的流变行为本构方程 柴希阳2)，高志玉13)，潘涛)四，柴锋，杨志刚)，杨才福) 1)钢铁研究总院工程用钢研究所，北京1000812)请华大学材料科学与工程学院，北京100084 3)辽宁工程技术大学材料科学与工程学院，阜新123099 区通信作者，E-mail:pantao@cisi.com.cn 摘要利用Gleeble--3800热模拟实验机研究了工业纯钛TA2的热变形行为.变形温度为750~1000℃，步长50℃，应变速 率分别为0.01,0.1、1和10s.实验结果表明，TA2在热压缩变形过程中发生了加工硬化以及动态回复、动态再结晶.随着变 形温度的降低和应变速率的增加，流变应力逐渐增加.为了准确预测TA2的高温流变行为，基于实验数据和双曲正弦Ah nius模型构建了考虑应变影响的本构方程，本构方程中材料常数a,n、Q,lnA与应变之间存在6阶多项式关系.本文所提出考 虑应变影响的本构方程可以用于研究工业纯钛TA2的高温流变行为. 关键词工业纯钛；热变形：本构方程；应变 分类号TG142.71 Constitutive equation for flow behavior of commercially pure titanium TA2 during hot deformation CHAI Xi-yang'),GAO Zhi-yu'),PAN Tao,CHAI Feng,YANG Zhi-gang?,YANG Cai-fu 1)Department of Structural Steels,Central Iron and Steel Research Institute,Beijing 100081,China 2)School of Materials Science and Engineering,Tsinghua University,Beijing 100084,China 3)School of Materials Science and Engineering.Liaoning Technical University,Fuxin 123099.China Corresponding author,E-mail:pantao@cisri.com.en ABSTRACT The hot deformation behavior of TA2,which is commercially pure titanium,was investigated using a Gleeble-3800 simulator over temperature and strain ranges of 750-1000C and 0.01-10s,respectively.The results show that during hot compres- sive deformation,work hardening,dynamic recovery,and dynamic recrystallization occur.The flow stress increases as temperature de- creases and strain rate increases.To accurately predict the flow behavior for the alloy,constitutive equations considering the effect of strain were derived based on the obtained experimental data and a hyperbolic sine Arrhenius-type model.The material constants a,n, and InA were found to be functions of strain and could be fitted by employing a sixth-order polynomial.Subsequently,the developed constitutive model can be employed to describe the deformation behavior of commercially pure titanium TA2. KEY WORDS commercially pure titanium;hot deformation;constitutive equations;strain 工业纯钛具有质量轻、比强度高、耐腐蚀性强等泛应用.近年来，为降低钛材的使用成本，利用轧制 突出优点，已被船舶、海洋工程、石油、化工、核能等法制备钛-钢复合板的相关研究成为人们关注的热 领域作为重要材料所使用.但是，工业纯钛使用成 点.轧制是钛-钢复合板成型过程的重要工艺环节， 本较高，因而钛材并不能像钢铁一样得到大批量广 轧制过程的研究，特别是仿真过程研究，离不开材料 收稿日期：2017-05-02 基金项目：国家国际科技合作专项资助项目(2015DFR50320):国家高技术研究发展计划资助项目(2015AA03A501)工程科学学报,第 40 卷,第 2 期:226鄄鄄232,2018 年 2 月 Chinese Journal of Engineering, Vol. 40, No. 2: 226鄄鄄232, February 2018 DOI: 10. 13374 / j. issn2095鄄鄄9389. 2018. 02. 013; http: / / journals. ustb. edu. cn 工业纯钛 TA2 热变形过程的流变行为本构方程 柴希阳1,2) , 高志玉1,3) , 潘 涛1) 苣 , 柴 锋1) , 杨志刚2) , 杨才福1) 1) 钢铁研究总院工程用钢研究所, 北京 100081 2) 清华大学材料科学与工程学院, 北京 100084 3) 辽宁工程技术大学材料科学与工程学院, 阜新 123099 苣 通信作者, E鄄mail: pantao@ cisri. com. cn 摘 要 利用 Gleeble鄄鄄3800 热模拟实验机研究了工业纯钛 TA2 的热变形行为. 变形温度为 750 ~ 1000 益 ,步长 50 益 ,应变速 率分别为0郾 01、0郾 1、1 和10 s - 1 . 实验结果表明,TA2 在热压缩变形过程中发生了加工硬化以及动态回复、动态再结晶. 随着变 形温度的降低和应变速率的增加,流变应力逐渐增加. 为了准确预测 TA2 的高温流变行为,基于实验数据和双曲正弦 Arrhe鄄 nius 模型构建了考虑应变影响的本构方程,本构方程中材料常数 琢、n、Q、lnA 与应变之间存在 6 阶多项式关系. 本文所提出考 虑应变影响的本构方程可以用于研究工业纯钛 TA2 的高温流变行为. 关键词 工业纯钛; 热变形; 本构方程; 应变 分类号 TG142郾 71 收稿日期: 2017鄄鄄05鄄鄄02 基金项目: 国家国际科技合作专项资助项目(2015DFR50320);国家高技术研究发展计划资助项目(2015AA03A501) Constitutive equation for flow behavior of commercially pure titanium TA2 during hot deformation CHAI Xi鄄yang 1,2) , GAO Zhi鄄yu 1,3) , PAN Tao 1) 苣 , CHAI Feng 1) , YANG Zhi鄄gang 2) , YANG Cai鄄fu 1) 1) Department of Structural Steels, Central Iron and Steel Research Institute, Beijing 100081, China 2) School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China 3) School of Materials Science and Engineering, Liaoning Technical University, Fuxin 123099, China 苣 Corresponding author, E鄄mail: pantao@ cisri. com. cn ABSTRACT The hot deformation behavior of TA2, which is commercially pure titanium, was investigated using a Gleeble鄄鄄 3800 simulator over temperature and strain ranges of 750鄄鄄1000 益 and 0郾 01鄄鄄10 s - 1 , respectively. The results show that during hot compres鄄 sive deformation, work hardening, dynamic recovery, and dynamic recrystallization occur. The flow stress increases as temperature de鄄 creases and strain rate increases. To accurately predict the flow behavior for the alloy, constitutive equations considering the effect of strain were derived based on the obtained experimental data and a hyperbolic sine Arrhenius鄄type model. The material constants 琢, n, Q, and lnA were found to be functions of strain and could be fitted by employing a sixth鄄order polynomial. Subsequently, the developed constitutive model can be employed to describe the deformation behavior of commercially pure titanium TA2. KEY WORDS commercially pure titanium; hot deformation; constitutive equations; strain 工业纯钛具有质量轻、比强度高、耐腐蚀性强等 突出优点,已被船舶、海洋工程、石油、化工、核能等 领域作为重要材料所使用. 但是,工业纯钛使用成 本较高,因而钛材并不能像钢铁一样得到大批量广 泛应用. 近年来,为降低钛材的使用成本,利用轧制 法制备钛鄄鄄钢复合板的相关研究成为人们关注的热 点. 轧制是钛鄄鄄钢复合板成型过程的重要工艺环节, 轧制过程的研究,特别是仿真过程研究,离不开材料