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Coefficients for a generalized-spherical-harmonic expansion of the crystallite orientation distributionfunction (ODF) through    L  =  16    were obtained by an incomplete pole-figure method from adeep-drawing aluminum-killed sheet steel sample with surface perpendicular to the sheet-normaldirection (ND). These coefficients were subsequently transformed from the RD, TD, ND referenceframe to –ND, TD, RD and ND, RD, TD reference frames. Spherical-surface-harmonic expansionsof incomplete {110}, {100}, and {112} pole-figures were calculated for each reference frame and usedas input data to calculate ODF coefficients for each frame. The thus-calculated coefficients weretransformed to the RD, TD, ND frame in each case. Series expansions of pole-figures and ODF foreach frame are compared with the initial data.

Comparison of Incomplete Pole-Figure Methods for Surfaces Perpendicular to Rolling, Transverse and Normal Directions