Abstract
Grain growth in polycrystals is modelled using an improved Monte Carlo Potts model algorithm. By extensive simulation of three-dimensional normal grain growth it is shown that the simulated microstructure reaches a quasi-stationary self-similar coarsening state, where especially the growth of grains can be described by an average self-similar growth law, which depends only on the number of faces described by a square-root law. Together with topological considerations a non-linear effective growth law results. A generalized analytic mean-field theory based on the growth law yields a scaled grain size distribution function that is in excellent agreement with the simulation results. Additionally, a comparison of simulation and theory with experimental results is performed.
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Keywords
- Grain Size Distribution
- Simulation Temperature
- Size Distribution Function
- Voronoi Tessellation
- Monte Carlo Step
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Zöllner, D., Streitenberger, P. (2008). Normal Grain Growth: Monte Carlo Potts Model Simulation and Mean-Field Theory. In: Bertram, A., Tomas, J. (eds) Micro-Macro-interaction. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85715-0_1
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