Constitutive modeling of commercial pure titanium sheet based on non-associated flow rule and differential hardening

•The differential hardening and changing R-value behavior during plastic deformation was observed for commercial-pure titanium sheet.•Constitutive modeling based on non-associated flow rule using Hill48 with evolutionary parameters and modified Kim-Tuan hardening law.•The developed material model can predict not only yield surface but also potential surface, especially changing R-value according to plastic deformation.•Yld2000-2d based on associated flow rule approach with evolutionary parameters for the several simulations was compared with experiment.•The simulation results obtained from the developed material model are in good agreement with the experimental data.