Using Evolutionary Size Distributions to Model Recrystallization in Hot Rolled, Commercial Purity Aluminum Alloys

A model framework is presented which involves evolutionary size distributions of subgrains and recrystallized grains. Component size class growth rates are given by a mean field type, cellular stability equation, with misorientation dependent boundary mobility and energy. Number densities and local mean misorientations are maintained for a fixed set of size classes. Misorientation is accumulated for some subgrains during growth via an orientation gradient. This provides for recrystallization 'nucleation' explicitly, as subgrain classes acquire a critical amount of misorientation. The framework allows for the spectrum of recovery, primary recrystallization and normal grain growth regimes to be addressed. The model is fit to kinetic, grain size and cube texture data for hot rolled, commercial purity aluminum. Using reasonable, fitted values for physical parameters, a good fit to the available data is obtained, especially when compared with simple empirical fitting.