MODELLING OF POLYCRYSTALS USING WELL-CONTROLLED VORONOI-TYPE TESSELLATIONS AND ITS APPLICATIONS TO MICROMECHANICAL ANALYSES

Baptiste Flipon (1) , L Milhem (1) , Clément Keller (1) , Romain Quey (2) , Fabrice Barbe (1)

1 GPM - Groupe de physique des matériaux
2 MPM-ENSMSE - Département Microstructures et Propriétés Mécaniques

This paper provides a review of our developments on the use of Voronoi-type tessellations for the analysis of the deformation of polycrystalline structures. This work was initiated 20 years ago by a fruitful collaboration with Dominique Jeulin and is still guided by his works. We introduce different types of tessellations and explain how they can be used by presenting several micromechanics cases of study, from the most simple to the most complex configurations.

Keywords: Voronoi tessellation; Laguerre tessellation; Polycrystals; Micromechanics; Johnson-Mehl tessellation

Domains: Physics [physics]; Condensed Matter [cond-mat]; Materials Science [cond-mat.mtrl-sci]; Physics [physics]; Mechanics [physics]; Mechanics of materials [physics.class-ph]; Physics [physics]; Mechanics [physics]; Materials and structures in mechanics [physics.class-ph]

Baptiste Flipon, L Milhem, Clément Keller, Romain Quey, Fabrice Barbe. MODELLING OF POLYCRYSTALS USING WELL-CONTROLLED VORONOI-TYPE TESSELLATIONS AND ITS APPLICATIONS TO MICROMECHANICAL ANALYSES. F. Willot and S. Forest Eds. International Workshop on the Physics and Mechanics of Random Structures: from Morphology to Material Properties, Presse des Mines, 2018, 978-2-35671-529-6. ⟨hal-01916848⟩