Periodic three-dimensional mesh generation for crystalline aggregates based on Voronoi tessellations

By Felix Fritzen, Thomas Böhlke, Eckart Schnack. 2009

198 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/d830f814135bc25abeb2a47f87342fbde5d8f032

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. I. Benedetti
2. M. H. Aliabadi
3. Thomas Böhlke
4. Felix Fritzen

In Computer Graphics and Computer-Aided Design

1. Thomas Böhlke
2. Felix Fritzen

Citations in the corpus

• Three‐dimensional finite element implementation of the nonuniform transformation field analysis (2010, background): “The resulting meshes have the advantage of representing exactly the phase boundaries for arbitrarily coarse mesh density and the mesh density is fully scalable [8].”
• A three-dimensional cohesive-frictional grain-boundary micromechanical model for intergranular degradation and failure in polycrystalline materials (2013, background): “Although it has been shown that they slightly misestimate some polycrystalline microstructural distributions [25, 80], they have however been widely successfully employed for modelling purposes [5, 81, 80, 82, 83, 84, 85, 86, 70].”
• Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing (2011, unknown): “grains) and used primarily in the context of small deformation studies ([1%) [27,14,25,28,24].”
• Generation of 3D representative volume elements for heterogeneous materials: A review (2018, background): “The hardcore Voronoi tessellation generates germs via random placements of non-intersecting spheres [199,201].”
• Computational homogenization of elasto-plastic porous metals (2012, methodology): “The consideration of high porosities (10–30%, Fig. 17, bottom) reveals some differences between the different approaches. In summary, the stresses are overpredicted by all models, except the GTN model. The latter does underestimate the stress response for the coefficients determined at the low volum”