The effects of regularity on the geometrical properties of Voronoi tessellations

DOI10.1016/j.physa.2014.03.012zbMath1395.74073OpenAlexW2152301112MaRDI QIDQ1782837

G. Richomme

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2014.03.012

zbMATH Keywords

regularitymicromechanicsgeometrical properties3D Voronoi tessellationsvirtual grain structure

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Micromechanics of solids (74M25)

Cites Work

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• Three-dimensional random Voronoi tessellations: from cubic crystal lattices to Poisson point processes
• Properties of a three-dimensional Poisson-Voronoi tesselation: a Monte Carlo study
• Analysis of the high strain compression of open-cell foams
• Cohesive zone representation and junction partitioning for crystal plasticity analyses
• A geometric formulation of the law of Aboav–Weaire in two and three dimensions
• Linear Elastic Behavior of a Low-Density Kelvin Foam With Open Cells
• Efficient routing of multiple vehicles with no explicit communications
• Random Subdivisions of Space into Crystals

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