Constitutive equation for flow behavior of commercially pure titanium TA2 during hot deformation

The hot deformation behavior of TA2, which is commercially pure titanium, was investigated using a Gleeble-3800 simulator over temperature and strain ranges of 750-1000℃ and 0.01-10 s^-1, respectively. The results show that during hot compressive deformation, work hardening, dynamic recovery, and dynamic recrystallization occur. The flow stress increases as temperature decreases 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 α, n, Q, and lnA 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.