Stochastic Wang Tiles Generation Using the Discrete Element Method

Abstract

An algorithm generating morphology of 2D and 3D stochastic Wang tiles is presented in thiscontribution. The algorithm is based on the discrete element method (DEM) and is therefore applicableprimarily for matrix-based microstructures with separate inclusions with emphasis on producingmaximally random dense packings. An open-source free DEM code YADE was used for all the computations.The method is illustrated with a 2D exemplary realization of Wang tiling and comparisonagainst Periodic Unit Cell representation in terms of spatial statistics is provided.