Determination of Texture From Individual Grain Orientation Measurements
J Blendell, Mark D. Vaudin, Lin-Sien H. Lum
We present a technique for determining the texture of a polycrystalline material based on the measurement of the orientation of a number of individual grains. We assume that the sample has fiber texture and that the texture can be characterized by a function with a single parameter (the March-Dollase function). We have simulated a large number, N, of orientation data sets, using the March-Dollase function for a total of five different texture parameters, rinit. Using the maximum likelihood method we have solved for the texture parameter, rN, that best fits each simulated data set in order to determine the distribution of rN and evaluate the precision and accuracy with which rN can be determined. We found that if a sufficient number of grains were measured the texture parameter could be determined with accuracy comparable to results of x-ray diffraction measurements of texture. The 90% confidence limits of the ratio rN/rinit varied as N-2 but were independent of rinit. Using this technique good agreement was found between the texture measured by x-ray diffraction and the textured determined from the orientations of 131 grains.
Journal of the American Ceramic Society
alumina, grain orientation, March-Dollase, maximum likelihood, texture