The Voronoi diagram approach was applied to quantify the level of microstructural homogeneity of ceramic ZTA samples. From SEM pictures of polished cross-sections of ZTA samples a point pattern representing the distribution of the zirconia phase in the composite was generated. This point pattern was converted into a Voronoi diagram. The level of microstructural homogeneity was quantified by statistical analysis of the relevant properties (area, perimeter and number of faces) of the Voronoi polygons. A dimensionless parameter defining the level of microstructural homogeneity was calculated from the different sets of statistical data. The calculated parameters indicated significant differences in homogeneity between the ZTA samples. These differences were in qualitative agreement with previously published wear rates of the same ZTA composites. This illustrates the relevance of microstructural homogeneity for wear performance.
Heijman, M. J. G. W., Heijman, M. J. G. W., Benes, N. E., ten Elshof, J. E., & Verweij, H. (2002). Quantitative analysis of the microstructural homogeneity of zirconia-toughened alumina composites. Materials research bulletin, 37(1), 141-149. https://doi.org/10.1016/S0025-5408(01)00806-6