Local and Global relations between the number of contacts and density in monodisperse sphere packs
arXiv:0709.3141 · doi:10.1088/1742-5468/2006/07/P07010
Abstract
The topological structure resulting from the network of contacts between grains (\emph{contact network}) is studied for large samples of monosized spheres with densities (fraction of volume occupied by the spheres) ranging from 0.59 to 0.64. We retrieve the coordinates of each bead in the pack and we calculate the average coordination number by using three different methods. We show that, in the range of density investigated, the coordination number is larger than 4 and it increases with the packing fraction. At local level we also observe a positive correlation between local packing fraction and number of neighbors. We discover a dependence between the local densities of configurations with few neighbors in contact and the global sample-denities. This might indicate that local configurations with small number of neighbors are able to deform plastically when the sample is compactifying. PACS: 45.70.-n, Granular Systems; 45.70.Cc, Static sandpiles; Granular Compaction.
arXiv comment10 pages, 6 figures
References in corpus (4)
Cited by in corpus (19)
- Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
- Minkowski Tensors of Anisotropic Spatial Structure
- Basic Understanding of Condensed Phases of Matter via Packing Models
- A first-order phase transition at the random close packing of hard spheres
- Local origin of global contact numbers in frictional ellipsoid packings
- Non-universal Voronoi cell shapes in amorphous ellipsoid packings
- Combining tomographic imaging and DEM simulations to investigate the structure of experimental sphere packings
- Jamming II: Edwards' statistical mechanics of random packings of hard spheres
- Hysteretic behavior of electrical conductivity in packings of particles
- Jamming I: A volume function for jammed matter
- Distribution of volumes and coordination number in jammed matter: mesoscopic ensemble
- A local view on the role of friction and shape
- Fluctuations, structure factor and polytetrahedra in random packings of sticky hard spheres
- Cold granular targets slow the bulk freezing of an impacting droplet
- Structural similarity between dry and wet sphere packings
- Random packing fraction of binary similar particles: Onsager's excluded volume model revisited
- Mixing properties of bi-disperse ellipsoid assemblies: Mean-field behaviour in a granular matter experiment
- Local analysis of the history dependence in tetrahedra packings
- Self-Referential Order