A justification of the Hillert distribution by spatial grain growth simulation performed by modifications of Laguerre tessellations

摘要

The Laguerre tessellation can be used for describing polycrystalline structures with approximately convex grains. By introducing a time element this model can be applied to normal grain growth simulations as an alternatively approach to the lattice based Monte Carlo simulation. Different mechanisms of grain growth result in a fixed grain size distribution which is close to the Hillert distribution.