Comparison of Incomplete Pole‐Figure Methods for SurfacesPerpendicular to Rolling, Transverse and Normal Directions
Open Access
- 1 January 1992
- journal article
- research article
- Published by Wiley in Texture, Stress, and Microstructure
- Vol. 19 (1-2) , 75-80
- https://doi.org/10.1155/tsm.19.75
Abstract
Coefficients for a generalized-spherical-harmonic expansion of the crystallite orientation distribution function (ODF) through L=16 were obtained by an incomplete pole-figure method from a deep-drawing aluminum-killed sheet steel sample with surface perpendicular to the sheet-normal direction (ND). These coefficients were subsequently transformed from the RD, TD, ND reference frame to ND, TD, RD and ND, RD, TD reference frames. Spherical-surface-harmonic expansions of incomplete {110}, {100}, and {112} pole-figures were calculated for each reference frame and used as input data to calculate ODF coefficients for each frame. The thus-calculated coefficients were transformed to the RD, TD, ND frame in each case. Series expansions of pole-figures and ODF for each frame are compared with the initial data.Keywords
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