Title: Application of computer simulation in the stereology of materials

Authors: Ivan Saxl, Petr Ponizil, Marcela Loflerova

Addresses: Mathematical Institute, Academy of Sciences of the Czech Republic, Praha, Czech Republic; Department of Probability and Mathematical Statistics, Faculty of Mathematics and Physics, Charles University, Praha, Czech Republic. ' Tomas Bata University, Zlin, Czech Republic. ' Komercni banka, a.s., Praha, Czech Republic

Abstract: Four applications of computer simulations in stereology are discussed and demonstrated: 1. systematic graphical classification of 3D tessellations with application to the grain size estimation based on the combination of profile and intercept counts with the coefficient of profile area variation; 2. simulation and estimation of double stochastic processes with application to cavity formation under high-temperature creep loading; 3. simulation of the intercrystalline fracture and stereology of fracture surfaces; 4. estimation of the anisotropy of simulated spatial fibre processes.

Keywords: 3D simulation; fibre anisotropy; fracture surfaces; grain size estimation; random tessellation; rough surface analysis; stereology; intercrystalline fracture; surface roughness.

DOI: 10.1504/IJMMP.2009.028636

International Journal of Microstructure and Materials Properties, 2009 Vol.4 No.2, pp.231 - 249

Published online: 21 Sep 2009 *

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