An anisotropic Voronoi algorithm for generating polycrystalline microstructures with preferred growth directions

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19 Citaten (Scopus)


In this paper, a novel anisotropic Voronoi algorithm is presented, along with its implementation and two application cases. In contrast to standard Voronoi tessellations, the proposed algorithm takes into account preferred growth directions, aspect ratios and areas of individual grains. Therefore, an elliptical growth field, which is defined on a per grain basis, is adopted which specifies the time a single grain seed point needs to grow to a specific point in the domain of interest. Grains can be extracted in a grain-conforming or non-grain-conforming manner. The latter case is applicable to simulations in which a predetermined mesh is used, e.g. voxel-mesh based simulations. The extraction can then be done in a straightforward manner. For the former case, a more elaborate extraction algorithm is presented. Finally, the characteristics of the resulting microstructural geometries of two application cases (wire + arc additively manufactured and cast metal microstructure) are studied. A pronounced correspondence with the experimental grain morphology is obtained. This algorithm is highly versatile for generating polycrystalline (metal) microstructures, especially since it closely mimics the underlying solidification process. However, it is more generally applicable to generate an anisotropic tessellation with spatially varying preferential growth directions.

Originele taal-2Engels
Aantal pagina's7
TijdschriftComputational Materials Science
StatusGepubliceerd - jan. 2021


This research was carried out under project number P16-46/S17024e, which is part of AiM2XL program, in the framework of the Partnership Program of the Materials innovation institute M2i ( and the Netherlands Organization for Scientific Research ( The research was conducted in collaboration with industrial partners and supported by the Rotterdam Fieldlab Additive Manufacturing BV (RAMLAB), Furthermore, the authors would like to thank Luca Palmeira Belotti for obtaining the experimental data of the wire + arc additively manufactured metal microstructure.

Rotterdam Fieldlab Additive Manufacturing BV
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Materials Innovation Institute


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