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Periodic three‐dimensional mesh‐generation for Voronoi tessellations with application to cubic crystal aggregates
Author(s) -
Fritzen Felix,
Böhlke Thomas,
Schnack Eckart
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810545
Subject(s) - voronoi diagram , periodic boundary conditions , crystallite , centroidal voronoi tessellation , crystal (programming language) , displacement (psychology) , materials science , microstructure , geometry , cubic crystal system , boundary value problem , crystallography , mathematics , mathematical analysis , computer science , composite material , chemistry , metallurgy , psychology , programming language , psychotherapist
We present a technique for the generation of unstructured periodic spatial discretizations of three–dimensional Voronoi tessellations. These define model microstructures for various polycrystalline aggregates. The elastic properties of cubic crystal aggregates are examined numerically using periodic displacement boundary conditions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)