Discrete micro-scale cellular automata model for modelling phase transformation during heating of dual phase steels

Development of the discrete two-dimensional cellular automata (CA) model for modelling phase transformation during heating of dual phase (DP) steels is the subject of the present work. The model is based on the solution of fundamental diffusion equation, which is associated with local equilibrium conditions, and takes into account growth of austenite during phase transformation driven by the grain boundary curvature. Solution of the diffusion equation is realized by the finite difference method (FDM), while further growth is controlled by the cellular automata transition rules. All the details of the developed cellular automata model are presented and discussed. Finally comparison between obtained results and experimental data is also addressed.