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Crystallite Orientation Analysis for Rolled Cubic Materials

Published online by Cambridge University Press:  06 March 2019

Peter R. Morris  and
Alan J. Heckler
Peter R. Morris
Affiliation:
Research and Technology Armco Steel Corporation Middletown, Ohio
Alan J. Heckler
Affiliation:
Research and Technology Armco Steel Corporation Middletown, Ohio
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Abstract

Roe's method for deriving the crystallite orientation distribution in a series of generalized spherical harmonics is applied to the analysis of texture in rolled cubic materials. The augmented Jacobi polynomials, which are the basis of the generalized spherical harmonics, have been derived for cubic crystallographic symmetry and orthotopic physical symmetry through the sixteenth order. Truncation of the series expansions at the sixteenth order should permit treatment of textures having a maximum of 17 times random and a minimum angular width at half maximum of 34°. A numerical technique has been developed which permits approximate evaluation of the integral equations from a finite array of data points. The method is illustrated for commercial steels and is used to elucidate the primary recrystalization texture of a decarburized Fe-3%Si alloy.

Type
Research Article
Information
Advances in X-Ray Analysis , Volume 11: Sixteenth Annual Conference on Applications of X-ray Analysis, August 9-11, 1967 , 1967 , pp. 454 - 472
Copyright
Copyright © International Centre for Diffraction Data 1967

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