A new method for the generation of arbitrarily shaped 3D random polycrystalline domains

DOI10.1007/s00466-014-1068-3zbMath1309.74058OpenAlexW1998206332MaRDI QIDQ487875

Petros Siegkas, Simone Falco, Nik Petrinic, Ettore Barbieri

Publication date: 23 January 2015

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-014-1068-3

zbMATH Keywords

finite element methodVoronoi tessellationconcave domains3D polycrystalline microstructures

Mathematics Subject Classification ID

Applications of graph theory (05C90) Finite element methods applied to problems in solid mechanics (74S05) Analysis of microstructure in solids (74N15)

Related Items (3)

A novel approach to generating microstructurally-aware non-convex domains ⋮ A numerical method for the generation of hierarchical Poisson Voronoi microstructures applied in micromechanical finite element simulations. I: Method ⋮ Numerical Integration Approach Based on Radial Integration Method for General 3D Polyhedral Finite Elements

Uses Software

• Gmsh
• Neper
• geom3d

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Large-scale 3D random polycrystals for the finite element method: generation, meshing and remeshing
• Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method
• Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
• Micro-stress distribution within polycrystalline aggregate
• Periodic three-dimensional mesh generation for particle reinforced composites with application to metal matrix composites
• Quality improvement of non-manifold hexahedral meshes for critical feature determination of microstructure materials
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Mechanics of Solid Materials
• Brittle fracture in polycrystalline microstructures with the extended finite element method
• Development of the DYNA3D simulation code with automated fracture procedure for brick elements
• Centroidal Voronoi Tessellations: Applications and Algorithms
• Intergranular and intragranular behavior of polycrystalline aggregates. I: F. E. model
• Intergranular and intragranular behavior of polycrystalline aggregates. II: Results

This page was built for publication: A new method for the generation of arbitrarily shaped 3D random polycrystalline domains