Title

The stereology of grain boundary allotriomorphs

Document Type

Article

Publication Date

2-1-1977

Abstract

Grain boundary allotriomorphs have been modeled as two abutting spherical caps of equal radius. The effects of the distance from the center of the allotriomorph, kh{cyrillic}, and the angle with respect to the plane normal to the grain boundary, ψ, at which a plane of polish sections the allotriomorph have been investigated. Expressions were derived relating the apparent to the true thickness, length, aspect ratio and dihedral angle. The effects of kh{cyrillic} and φ{symbol} upon measurements of the lengthening and thickening kinetics of allotriomorphs were found to be significant, particularly at larger values of ψ. Analysis of published high-temperature measurements of allotriomorph growth kinetics indicated that an appreciable portion of the scatter in this data may have been due to nonzero values of kh{cyrillic} and ψ. A room temperature technique for making these measurements which minimizes such effects is concluded to be stereologically more reliable. © 1997 The Metallurgical Society of American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc.

Publication Title

Metallurgical Transactions A

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