Dislocation density based modeling of work hardening in the context of integrative modeling of aluminum processing

We present a work hardening model with three types of dislocation densities as internal variables. The kinetic equation of state—used to calculate the flow stress—is extended to account for solution hardening by taking solute atoms into account as obstacles for the mobile dislocations. Thus, the model is able to describe the effects of alloy composition on the hardening behavior. Examples are presented on how the model can be used to calculate stress–strain curves for a range of temperatures, strain rates and compositions. Its application to through process modeling is shown. Owing to the use of dislocation densities as internal variables, the model delivers an output that can be directly used as input for subsequent modeling of recrystallization.