A perceptive comparison of the cellular automata and Monte Carlo techniques in application to static recrystallization modeling in polycrystalline materials

A perceptive comparison of two numerical methods that are commonly used in explicit modeling of microstructure evolution under thermo-mechanical conditions is the subject of the present work. Discrete cellular automata and Monte Carlo models of the static recrystallization were developed and compared within the paper. The knowledge regarding the strong and weak sides of these numerical techniques is highlighted. Particular attention is put on models accuracy in appropriate prediction of micro scale phenomena associated with physical basis of the static recrystallization. Technical details of those models as well as their predictive capabilities are discussed.