Constitutive Modelling of Hot Deformation Behaviour of Mg-0.5wt% Ce Alloy

Ce addition in Mg improves its restricted ductility owing to inadequate number of deformation systems being hcp structure. Hot compression conducted on Mg-0.5wt% Ce alloy to identify the suitable deformation regime in processing maps. The flow stress ( σ ) response of such plastic deformation is governed by constitutive equations, established by a physical model on 0.1 to 0.5 true strain ( ε ) depends on hyperbolic-sinusoidal Arrhenius-type equations and also initiated with Zener–Hollomon parameter ( Z ) as specified by strain rate ( ε ˙ ) and deformation temperature. The average absolute relative error ( AARE ) and correlation coefficient ( R ) measure the correctness of the developed constitutive equation showing reasonable predictions of the modified flow stress. Processing map shows dynamic recovery (DRV) domain at 673–723 K and 0.001–0.1 s −1 , corresponding to the suitable hot working regime, and also identifies unstable zones of flow stress behaviour.