Comparison of two constitutive modelling methods in application of TC16 alloy at the elevated deformation temperature

• Published in: Materials today communications Vol. 24; p. 101053
• Main Authors: Shen, Menglan, Huo, Yuanming, He, Tao, Xue, Yong, Yang, Wanbo, Hu, Yujia, Jiang, Xinxing
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2020
• Subjects: Constitutive model; Flow behaviours; Prediction accuracy; TC16 alloy; Prediction accuracy; Constitutive model; Flow behaviours; TC16 alloy
• ISSN: 2352-4928; 2352-4928
• DOI: 10.1016/j.mtcomm.2020.101053

The aim of this work is to establish constitutive model using two methods of double multiple nonlinear regression model (DMNR) and strain-compensated Arrhenius-type constitutive model (SACM) to describe the flow behaviours of TC16 titanium alloy under hot compression in the strain rate range of 0.1s−1 ∼ 10.0s−1 and temperature range of 973K ∼ 1373K. A comparative study has been conducted on the prediction capability of DMNR model and SACM model under different temperature ranges, and their prediction accuracy was quantified by using standard statistical parameters such as correlation coefficient (R), average absolute error (AARE) and roof mean square error (RMSE). The results showed that the hot compression temperature of 1173K is a phase transition temperature for TC16 alloy. Before 1173K, the microstructure of TC16 alloy contains α phase and β phase. After 1173K, only the β phase can be observed in the microstructure of TC16 alloy. And the DMNR model has a better prediction accuracy to describe the stress-strain relationships than SACM model at temperature range of 973K ∼ 1373K. It indicates that DMNR model is more suitable in a wider range of deformation temperature. When the constitutive models of TC16 titanium alloy were developed at temperature range of 1173K ∼ 1373K, SACM model has more excellent predictability than DMNR model. It indicates that SACM model is more suitable to describe the stress-strain relationships in a narrow range of deformation temperature. [Display omitted] •Hot compression tests were performed to investigate material flow behaviors and microstructure evolution of TC16 alloy.•Constitutive equations were built using double multiple nonlinear regression model and strain-compensated Arrhenius model.•A comparative study has been conducted on the prediction capability of two models using standard statistical parameters. Different constitutive modeling methods lead to different prediction accuracy of stress-strain relationships for hot metal forming. The aim of this work is to establish constitutive model using two methods of double multiple nonlinear regression model (DMNR) and strain-compensated Arrhenius-type constitutive model (SACM) to describe the material flow behaviour of TC16 titanium alloy under hot compression in the strain rate range of 0.1s−1 ∼ 10.0s−1 and temperature range of 973K ∼ 1373K. A comparative study has been conducted on the prediction capability of DMNR model and SACM model under different temperature ranges, and their prediction accuracy was quantified by using standard statistical parameters such as correlation coefficient (R), average absolute error (AARE) and root mean square error (RMSE). The results showed that the DMNR model has a better prediction accuracy to describe the stress-strain relationship than SACM model at temperature range of 973K ∼ 1373K. It indicates that DMNR model is more suitable in a wider range of deformation temperature. When the constitutive models of TC16 titanium alloy were developed at temperature range of 1173K ∼ 1373K, SACM model has more excellent predictability than DMNR model. It indicates that SACM model is more suitable to describe the stress-strain relationships in a narrow range of deformation temperature.