An evolutional approach to the numerical construction of polycrystalline structures using the Voronoi tessellation

We developed a method to numerically construct a polycrystalline structure with a specified grain-size distribution by utilizing the genetic algorithm, which is suitable for global optimization of complex parametric space, and the Voronoi tessellation. The computational merits of our new method compared with the conventional optimization method are: (a) it is able to escape more easily from local minima of the penalty function; and (b) it is suitable for parallel processing. The method efficiently creates input data for numerical simulations of microstructural evolution such as recrystallization, grain growth, deformation, and fracture.