Estimation of the particle density NV by coupled plane sections
Jerzy Ryś,
University of Mining and Metallurgy (AGH), al. Mickiewicza 30, 30-059 Kraków, Poland
Kurt Wiencek,
University of Mining and Metallurgy (AGH), al. Mickiewicza 30, 30-059 Kraków, Poland
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
Pour citer cet article
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.