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Zusammenfassung:
This MPG progress report presents applications of a 3D stochastic cellular automaton model for the spatial, kinetic, and crystallographic simulation of mesoscale transformation phenomena that involve non-conserved structural field variables and the motion of sharp interfaces, such as encountered in the fields of recrystallization and grain growth. The automaton is discrete in time, physical space, and orientation space. It is defined on a 3D cubic lattice considering the first, second, and third neighbor shell. The local transformation rule that acts on each lattice site consists of a probabilistic analog of the linearized symmetric Turnbull rate equation for grain boundary segment motion. All possible switches of cells are simultaneously considered
using a weighted stochastic sampling integration scheme. The required input parameters are the mobility data for the grain boundaries, the local crystallographic texture, and a local stored energy measure as a function of space.
