An Analytical Method for the Quantitative Determination of the Volume Fractions in Fiber Textures
Open Access
- 1 January 1979
- journal article
- research article
- Published by Wiley in Texture, Stress, and Microstructure
- Vol. 3 (2) , 73-83
- https://doi.org/10.1155/tsm.3.73
Abstract
In order to evaluate pole‐figure measurements quantitatively, one needs the normalization factor which reduces measured intensity values to multiples of the random density. This factor may be determined experimentally by measuring the intensities of a random sample or it may be calculated by integrating over the whole pole‐figure or its asymmetric unit. If pole‐figure values are not available in the whole angular range 0 ≤ φ ≤ 90° (incomplete pole‐figures), then the calculation is in general much more difficult and it usually presumes the knowledge of several pole‐figures.In the case of fiber textures (axial symmetry), consisting of only a few strongly preferred orientations with the crystal directions 〈uvw〉i parallel to the axis of symmetry, the normalization factor and hence the volume fractions of the components i may be calculated in a rather simple way requiring only one, possibly incomplete, pole figure.Keywords
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