A 3D probabilistic cellular automaton for the simulation of recrystallization 
and grain growth phenomena

Raabe, D.

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A 3D probabilistic cellular automaton for the simulation of recrystallization and grain growth phenomena

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Raabe, D.
Microstructure Physics and Alloy Design, Max-Planck-Institut für Eisenforschung GmbH, Max Planck Society;

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Citation

Raabe, D.(2004). A 3D probabilistic cellular automaton for the simulation of recrystallization and grain growth phenomena. München, Germany: Max-Planck-Society.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0019-66B1-0

Abstract

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.