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Radical Voronoï tessellation from random pack of polydisperse spheres: Prediction of the cells’ size distribution

Article dans une revue avec comité de lecture
Auteur
DEPRIESTER, Dorian
211915 Mechanics surfaces and materials processing [MSMP]
KUBLER, Régis
211915 Mechanics surfaces and materials processing [MSMP]

URI
http://hdl.handle.net/10985/13696
DOI
10.1016/j.cad.2018.09.001
Date
2018
Journal
Computer-Aided Design

Résumé

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.

Fichier(s) constituant cette publication

Nom:
MSMP_CAD_2018_DEPRIESTER KUBLER.pdf
Taille:
3.052Mo
Format:
PDF
Fin d'embargo:
2020-10-03
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  • Laboratoire Mechanics, Surfaces and Materials Processing (MSMP)

Documents liés

Visualiser des documents liés par titre, auteur, créateur et sujet.

  • Radical Voronoï tessellation from random pack of polydisperse spheres: Prediction of the cells’ size distribution 
    Article dans une revue avec comité de lecture
    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. ...
  • Calculs Éléments Finis à l’échelle des grains depuis des données EBSD 
    Communication avec acte
    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 ...
  • Resolution of the Wicksell's equation by Minimum Distance Estimation 
    Article dans une revue avec comité de lecture
    DEPRIESTER, Dorian; KUBLER, Régis (International Society for Stereology, 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 ...
  • MTEX2Gmsh: a tool for generating 2D meshes from EBSD data 
    Article dans une revue avec comité de lecture
    DEPRIESTER, Dorian; KUBLER, Régis (Open Journals, 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 ...
  • Grain size estimation in polycrystals: Solving the corpuscle problem using Maximum Likelihood Estimation 
    Article dans une revue avec comité de lecture
    DEPRIESTER, Dorian; KUBLER, Régis (Elsevier BV, 2021)
    In materials science, the microstructures of materials are generally characterized by 2D observation (e.g. electron microscopy). For polycrystalline materials, such as crystalline rocks or ceramics, those observations can ...

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