STEREOLOGICAL UNFOLDING OF THE TRIVARIATE SIZE-SHAPE-ORIENTATION DISTRIBUTION OF SPHEROIDAL PARTICLES WITH APPLICATION

Citation
V. Benes et al., STEREOLOGICAL UNFOLDING OF THE TRIVARIATE SIZE-SHAPE-ORIENTATION DISTRIBUTION OF SPHEROIDAL PARTICLES WITH APPLICATION, Acta materialia, 45(3), 1997, pp. 1105-1113
Citations number
19
Categorie Soggetti
Material Science","Metallurgy & Metallurigical Engineering
Journal title
ISSN journal
13596454
Volume
45
Issue
3
Year of publication
1997
Pages
1105 - 1113
Database
ISI
SICI code
1359-6454(1997)45:3<1105:SUOTTS>2.0.ZU;2-H
Abstract
A new stereological method is presented which enables the unfolding of joint size-shape-orientation distribution of spheroidal particles in opaque materials. It is shown that this trivariate problem can be deco mposed into a series of two simpler problems. The sampling is based on a vertical uniform random planar section. Besides the theoretical int egral equations between distributions of planar and spatial parameters , a numerical solution is also described in detail. The method is appl ied to the study of damage initiation in Al-Si metal matrix composites . Weibull modelling of particle cracking is briefly discussed. Copyrig ht (C) 1997 Acta Metallurgica Inc.