Herein we derive an expression for direct determination of the geometric autocorrelation function W of a polycrys- talline 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.
On the geometric autocorrelation function of polycrystalline materials / C. S., Man; Paroni, Roberto; Y., Xiang; E., Kenik. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - 190:(2006), pp. 200-210.
On the geometric autocorrelation function of polycrystalline materials
PARONI, Roberto;
2006-01-01
Abstract
Herein we derive an expression for direct determination of the geometric autocorrelation function W of a polycrys- talline 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.