Over last decade several successful applications of the cellular automata (CA) in simulation of DRX can be found in the literature, e.g. [1, 2]. The CA method leverages computational simplicity with reasonable ability to provide quantitative results. The paper is focused on application of multi-scale 2D CAFE method in hot forming. CAFE approach consists of the cellular automata model of microstructure development and the thermal-mechanical finite element (FE) code. Dynamic recrystallization phenomenon is taken into account in the 2D CA model which takes advantage of explicit representation of microstructure, including individual grains and grain boundaries. The pseudo-hexagonal neighbourhood is used as a context for state transition rule as described in . Flow stress is the main material parameter in mechanical part of the FE and is calculated on the basis of the average dislocation density obtained from the CA model. Some previously published results that were achieved using this approach appear very encouraging [3, 4]. In the present study, austenitic X3CrNi18-9 steel was investigated. This specific material was selected to avoid phase transformation in the lower range of temperatures. The samples were subjected to the axisymmetrical hot compression test. Flow stress is the main material parameter in mechanical part of the FE and is calculated on the basis of average dislocation density obtained from the CA model. The results attained from the CAFE model were validated with the experimental data. CELLULAR AUTOMATA MODEL In general, any Cellular Automaton is described by a quadruplet:
, where L is the lattice (spatial ordering) of the cells, S
is the state of the cell, F is the state transition rule governing evolution
of the state in consecutive time steps and N is a definition
of the neighbourhood describing the range of the local interactions
between the cells.
In the current work the CA are used for modeli