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.
Files in this item
Showing items related by title, author, creator and subject.
MAYNADIER, Anne; LAVERNHE-TAILLARD, Karine; HUBERT, Olivier; DEPRIESTER, Dorian (Elsevier, 2011)The pseudo-elasticity of Shape Memory Alloys is due to a change in volumetric fraction between the high temperature phase (Austenite) and the low temperature phase (Martensite) under a mechanical loading. When a tensile ...
Modélisation polycristalline du comportement d’un Alliage `a M´emoire de Forme (AMF) de type Ni-Ti sous sollicitations multiaxiales MAYNADIER, Anne; LAVERNHE-TAILLARD, Karine; HUBERT, Olivier; DEPRIESTER, Dorian (AFM, Maison de la Mécanique, 39/41 rue Louis Blanc, 92400 Courbevoie, France (FR), 2011)Les propriétés des AMF sont dues à une transformation de phase solide solide réversible induite par la contrainte ou la température. Pour les AMF de type Ni49,75%at-Ti, c’est une transformation isochore qui, d’une phase ...
MASSONI, Elisabeth; DEPRIESTER, Dorian (Trans Tech Publications, 2013)Flowforming is a means to produce seamless tubes by plastic deformation at room temperature. It consists in reducing the thickness of a tubular part mounted on a mandrel by deforming it using several rollers translating ...
MASSONI, Elisabeth; DEPRIESTER, Dorian (Trans Tech Publications, 2014)Cold flowforming is a chipless forming process that deforms tubular parts by reducing their outer diameter and thickness while increasing their length. It consists of a rotating mandrel and one or more rollers that are ...
MAYNADIER, Anne; LAVERNHE-TAILLARD, Karine; HUBERT, Olivier; DEPRIESTER, Dorian (Elsevier, 2014)Shape Memory Alloys (SMAs) undergo an austenite–martensite solid–solid phase transformation which confers its pseudo-elastic and shape memory behaviours. Phase transformation can be induced either by stress or temperature ...