| Title: |
Data from: Local origin of global contact numbers in frictional ellipsoid packings |
| Authors: |
Schaller, Fabian M.; Neudecker, Max; Saadatfar, Mohammad; Delaney, Gary W.; Schröder-Turk, Gerd E.; Schröter, Matthias |
| Publication Year: |
2015 |
| Collection: |
Dryad Digital Repository (Duke University) |
| Subject Terms: |
Granular systems; Ellipsoids; Jamming; Disordered solids; X-ray Tomography |
| Description: |
In particulate soft matter systems the average number of contacts Z of a particle is an important predictor of the mechanical properties of the system. Using x-ray tomography, we analyze packings of frictional, oblate ellipsoids of various aspect ratios α, prepared at different global volume fractions ϕg. We find that Z is a monotonically increasing function of ϕg for all α. We demonstrate that this functional dependence can be explained by a local analysis where each particle is described by its local volume fraction ϕl computed from a Voronoi tessellation. Z can be expressed as an integral over all values of ϕl: Z(ϕg,α,X)=∫Zl(ϕl,α,X)P(ϕl|ϕg)dϕl. The local contact number function Zl(ϕl,α,X) describes the relevant physics in term of locally defined variables only, including possible higher order terms X. The conditional probability P(ϕl|ϕg) to find a specific value of ϕl given a global packing fraction ϕg is found to be independent of α and X. Our results demonstrate that for frictional particles a local approach is not only a theoretical requirement but also feasible. |
| Document Type: |
article in journal/newspaper |
| Language: |
unknown |
| Relation: |
PMID:25933340; Schaller FM, Neudecker M, Saadatfar M, Delaney GW, Schröder-Turk GE, Schröter M (2015) Local origin of global contact numbers in frictional ellipsoid packings. Physical Review Letters 114(15): 158001.; http://hdl.handle.net/10255/dryad.83751 |
| DOI: |
10.5061/dryad.rf623 |
| Availability: |
http://hdl.handle.net/10255/dryad.83751; https://doi.org/10.5061/dryad.rf623 |
| Accession Number: |
edsbas.3FCBAC4 |
| Database: |
BASE |