Functions Describing Orientation Correlations in PolycrystallineMaterials

Abstract

Statistical functions are presented, which can be applied as characteristics of the polycrystalline microstructure when the parameters are the orientations at separate points of the sample. Basing on the formal definition of the ODF the corresponding definition of the two‐point coherence function describing the orientation correlation is given. This immediately gives relations involving this function. Also a discretized form of such a two‐point function is presented. Moreover, the relations of this function to other functions describing orientation correlation are considered.