Surface Representation of Polycrystal Physical Properties: All Crystal Classes, Simple Average Approximation

Abstract

Algorithms for polycrystal physical properties estimation are presented. Bunge's spherical harmonics treatment of surface representations, under simple average approximation, is applied. Specific formulae for so-called longitudinal magnitudes are given. Physical properties associated to tensors of second-, third- and fourth-rank are considered. All crystal and sample symmetries are covered.