Radical Voronoï tessellation from random pack of polydisperse spheres: Prediction of the cells’ size distribution
TypeArticles dans des revues avec comité de lecture
This paper investigates the relevance of the representation of polycrystalline aggregates using Radical Vorono (RV) tessellation, computed from Random Close Packs (RCP) of spheres with radius distribution following a lognormal distribution. A continuous relationship between the distribution of sphere radii with that of RV cell volumes is proposed. The stereology problem (deriving the 3D grain size distributions from 2D sections) is also investigated: two statistical methods are proposed, giving analytical continuous relationships between the apparent grain size distribution and the sphere radius distribution. In order to assess the proposed methods, a 3D aggregate has been generated based on a EBSD map of a real polycrystalline microstructure.
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DEPRIESTER, Dorian; KUBLER, Régis (Slovenian Society for Stereology and Quantitative Image Analysis, 2019)The estimation of the grain size in granular materials is usually performed by 2Dobservations. Unfolding the grain size distribution from apparent 2D sizes is commonly referred as the corpuscle problem. For spherical ...
DEPRIESTER, Dorian; KUBLER, Régis (2019)For the sake of understanding the behaviour of a polycrystal at its grain scale, Finite Element (FE) numerical simulations can be performed, taking into account the physical properties of each grain. Those simulations must ...
Radical Voronoï tessellation from random pack of polydisperse spheres: Prediction of the cells’ size distribution DEPRIESTER, Dorian; KUBLER, Régis (Elsevier, 2019)This paper investigates the relevance of the representation of polycrystalline aggregates using RadicalVoronoï(RV)tessellation,computedfromRandomClosePacks(RCP)ofsphereswithradiusdistributionfollowing a lognormal distribution. ...
DEPRIESTER, Dorian; KUBLER, Régis (The Open Journal, 2020)In material sciences applied to crystalline materials, such as metals or ceramics, the grain morphology (size and shape) and the crystallographic texture are of great importance for understanding the macroscopic behaviour ...
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