Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643291 | Journal of Computational and Applied Mathematics | 2006 | 11 Pages |
Abstract
Herein we derive an expression for direct determination of the geometric autocorrelation function W of a polycrystalline material from images of its grain boundary network (e.g., those delivered by orientation imaging microscopy). We also obtain an identity that relates the mean linear intercept function to a directional derivative of the geometric autocorrelation function. These formulae were applied to examine whether a widely-used formula for W, particularly in theoretical studies of attenuation of elastic waves in polycrystalline media, would be valid for the grain boundary structure of a commercial aluminum alloy. The conclusion was negative.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chi-Sing Man, Roberto Paroni, Yu Xiang, Edward A. Kenik,