Comparison of Incomplete Pole‐Figure Methods for SurfacesPerpendicular to Rolling, Transverse and Normal Directions | Zendy

Peter R. Morris | Zendy; R. E. Hook | Zendy

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Comparison of Incomplete Pole‐Figure Methods for SurfacesPerpendicular to Rolling, Transverse and Normal Directions

Author(s) -

Peter R. Morris,

R. E. Hook

Publication year - 1992

Publication title -

texture stress and microstructure

Language(s) - English

Resource type - Journals

eISSN - 1687-5400

pISSN - 1687-5397

DOI - 10.1155/tsm.19.75

Subject(s) - perpendicular , transverse plane , materials science , geometry , mathematical analysis , physics , mathematics , structural engineering , engineering

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.

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