Normalizing Incomplete Experimental Pole Figures by Means of the Vector Method
Author(s) -
Helmut Schaeben,
A. Vadon
Publication year - 1984
Publication title -
texture stress and microstructure
Language(s) - English
Resource type - Journals
eISSN - 1687-5400
pISSN - 1687-5397
DOI - 10.1155/tsm.6.97
Subject(s) - pole figure , symmetry (geometry) , matrix (chemical analysis) , inverse , mathematical analysis , mathematics , physics , geometry , pure mathematics , optics , materials science , diffraction , composite material
The vector method of quantitative texture analysis provides a new solution of the problemof normalizing incomplete experimental pole figures. It basically makes use of the factthat the matrix σ*( hkl ) to which the corresponding matrix σ( hkl ) reduces in case of:(1) axial symmetry in terms of pole figures; or (2) fiber textures in terms of orientations,is full range. In this case σ*( hkl ) actually establishes the correspondence between the axialsymmetrical direct pole figure and the corresponding inverse pole figure with respect tothe normal ON of the sample.
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