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On the geometric autocorrelation function of polycrystalline materials

Man, Chi-Sing and Paroni, Roberto and Xiang, Yu and Kenik, Edward A. (2006) On the geometric autocorrelation function of polycrystalline materials. Journal of Computational and Applied Mathematics, Vol. 190 (1-2), p. 200-210. ISSN 0377-0427. Article.

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DOI: 10.1016/j.cam.2005.01.044


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.

Item Type:Article
ID Code:2646
Uncontrolled Keywords:Polycrystalline materials, geometric autocorrelation function, orientation imaging microscopy, elastic waves, attenuation
Subjects:Area 08 - Ingegneria civile e Architettura > ICAR/08 Scienza delle costruzioni
Divisions:001 Università di Sassari > 01 Dipartimenti > Architettura e pianificazione
Additional Information:Paper presented at International Conference on Mathematics and its Applications in honour od Professor Roderick's Wong 60th birthdau, Hong Kong, May 28-31, 2004
Deposited On:18 Aug 2009 10:08

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