Comparison of DEM-Based Wang Tilings and PUC

This contribution presents a statistical evaluation of microstructures assembled by means of2D Wang tiles, morphology of which is designed employing an algorithm based on Discrete ElementMethod. Comparison between realization of Wang tiling and Periodic Unit Cell representation is providedin terms of spatial descriptors. Namely, radial distribution function g2 and two-point probabilityfunction S2 are used to assess the artefacts related to periodicity in synthesized microstructures. Wedemonstrate significant reduction in periodicity achieved with Wang tiling (compared to the periodicsynthesis) in both the microstructures and results of numerical simulations.