Area-Perimeter Relation of the Grains in Stabilized Cubic Zirconia

Abstract

Based on the observation that the ratio of the perimeter, P, to the square root of the area, A0.5, of the grains for a given material is nearly constant, it is suggested that the grain shape may be treated as a regular polygon with a non-integral side number. Examining the variation of P/A0.5-ratio with sintering holding time may provide useful information for sintering dynamics. Further analysis suggests that the P/A0.5-ratio may be a potential parameter for studying the grain-boundary effect in polycrystalline materials.