A modified Johnson-Cook model for strain rates ranging from 10$^{\mbox{-}3}$ to 10$^{5}$ s$^{\mbox{-}1}$

A modified Johnson-Cook model is proposed to take into account the thermally activated and viscous regimes that can be easily integrated in numerical codes. The model was calibrated using experimental data generated at temperatures ranging from 23 to 1000$^{\circ}$C and strain rates ranging from 0.002 to $3 \times 10^{4}$ s$^{-1}$ and validated through numerical simulations of symmetric Taylor tests for a pure nickel and a high strength nickel alloy