Constitutive modeling of hot horming of austenitic stainless steel 316LN by accounting for recrystallization in the dislocation evolution

A Continuum Model for the Effect of Dynamic Recrystallization on the Stress–Strain Response

“…To model the transition from homogeneous dislocations to cells Angella assumes that the proportionality constant of the mean free path is a state variable (next to the dislocation density), which evolves from an initial value to a saturation value. It is shown that this model is capable of better capturing the small strain (up to 0.15 true strain) behavior during hot forming of these materials [ 41 , 42 ]. The proposed evolution equation for the mean free path proportionality constant h is: where is the saturation value and K governs the rate at which cells are formed, i.e., the transition from to ( ).…”

“…The proposed evolution equation for the mean free path proportionality constant h is: where is the saturation value and K governs the rate at which cells are formed, i.e., the transition from to ( ). The transition rate from homogeneously distributed dislocations to cells is however strain rate and temperature dependent and therefore K is made dependent on the Zener-Holloman parameter, similar to the strain rate and temperature dependence of dynamic recovery (Equation ( 7 )) [ 42 ].…”