Acta Stereologica

0351-580X

 

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Jerzy Ryś & Kurt Wiencek

Estimation of the particle density NV by coupled plane sections

(Volume 17 (1998) — Number 2 - Sep. 1998)
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Abstract

If a particle system in a material's microstructure is considered as a random set with a particle density NV, the parallel plane sections may be described by a stationary stochastic process. A stereological equation derived for this model by Bodziony and Kraj which satisfies the process parameters and the particle density NV is a basis for the NV-estimation by the coupled plane sections (CPS). Studies of a Nimonic alloy matrix grain structure in a series of parallel sections indicate the compatibility of the model with the structure. The NV-estimation result obtained is comparable with that given by the disector.

Keywords : birth-and-death process, convex particles, dissector, ergodicity, grain structure, quantitative metallography, random set

Om dit artikel te citeren:

Jerzy Ryś & Kurt Wiencek, «Estimation of the particle density NV by coupled plane sections», Acta Stereologica [En ligne], Volume 17 (1998), Number 2 - Sep. 1998, 175-188 URL : https://popups.uliege.be/0351-580x/index.php?id=2589.

Over : Jerzy Ryś

University of Mining and Metallurgy (AGH), al. Mickiewicza 30, 30-059 Kraków, Poland

Over : Kurt Wiencek

University of Mining and Metallurgy (AGH), al. Mickiewicza 30, 30-059 Kraków, Poland