P. Van Houtte, "The Use of a Quadratic Form for the Determination of Non-negative Texture Functions", Texture, Stress, and Microstructure, vol. 6, Article ID 910864, 19 pages, 1983. https://doi.org/10.1155/TSM.6.1
The Use of a Quadratic Form for the Determination of Non-negative Texture Functions
The classical analysis of measured pole figures of textured polycrystals by the series expansion method does not necessarily produce a non-negative texture function. The main reason for this is, that the method is unable to find the terms of odd rank l of the series expansion.A new method is proposed, which introduces the non-negativity condition into the series expansion method by the use of quadratic forms. The method is found to be successful when treating sharp textures, which have a considerable zero range in Euler space. The preliminary determination of this zero range by experimental methods is however not necessary.
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