The Institute of Materials Science and Welding is actively working on modeling the micro-structure of metals and alloys, as well as the implementation of its findings in a modern pro-duction. Therefore, one of the tools of mathematical modeling is "cellular automata".
A cellular automaton (CA) is a discrete model used in mathematics, physics, complexity sci-ence, theoretical biology and microstructure modeling. The concept was originally discovered in the 1940s by Stanislaw Ulam and John von Neumann. One way to simulate a two-dimensional cellular automaton is with an infinite sheet of graph paper along with a set of rules for the cells to follow. Each square is called a “cell” and each cell has two possible states, “black” and “white”. The neighborhood of a cell are the nearby, usually adjacent, cells. The two most common types of neighborhoods are the von Neumann neighborhood and the Moore neighborhood.
We have years of experience in the modeling of grain growth in the modern processes of thermo-mechanical processing. Successful results have been achieved in the description of normal and abnormal grain growth in single-phase and multiphase materials. Currently, the work is used to metallophysical description of such processes as phase transformations and static recrystallization. Attention is paid to the evaluation of the interaction of individual models in order to create a single powerful package.