  In this paper, we develop a mean-field model for simulating the
microstructure evolution of crystalline materials during static
recrystallization. The model considers a population of individual cells (i.e.
grains and subgrains) growing in a homogeneous medium representing the average
microstructure properties. The average boundary properties of the individual
cells and of the medium, required to compute growth rates, are estimated
statistically as a function of the microstructure topology and of the
distribution of crystallographic orientations. Recrystallized grains arise from
the competitive growth between cells. After a presentation of the algorithm,
the model is compared to full-field simulations of recrystallization performed
with a 2D Vertex model. It is shown that the mean-field model predicts
accurately the evolution of boundary properties with time, as well as several
recrystallization parameters including kinetics and grain orientations. The
results allow one to investigate the role the orientation spread on the
determination of boundary properties, the formation of recrystallized grains
and recrystallization kinetics. The model can be used with experimentally
obtained inputs to investigate the relationship between deformation and
recrystallization microstructures.

Materials Science