Stochastic vertex model of recrystallization

The generalized deterministic vertex model can be successfully used to study the recrystallization process and corresponding texture evolution. In its analytical (and deterministic) formulation the vertex model is based on the total energy minimization. A change of grain boundary configuration in classical vertex model is found by the calculation of vertex velocities. Consequently, a global and complex system of equations has to be solved in each step. er to simplify calculations and to handle the problem in a more flexible way, a stochastic version of the vertex model is proposed in the present paper. Typical elements of Monte Carlo algorithm were incorporated: a random (and small) modification of microstructure is accepted with a probability depending on the Boltzmann factor. This approach is closer to the stochastic nature of recrystallization process and also easier in formulation. The model is used to study the recrystallization of 70% and 90% cold rolled polycrystalline copper. It predicts correctly recrystallization textures for high and low strains.