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  Local origin of global contact numbers in frictional ellipsoid packings

Schaller, F. M., Neudecker, M., Saadatfar, M., Delaney, G., Schröder-Turk, G. E., & Schröter, M. (2015). Local origin of global contact numbers in frictional ellipsoid packings. Physical Review Letters, 114(15): 158001. doi:10.1103/PhysRevLett.114.158001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-5F1F-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-C2A0-C
Genre: Journal Article

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 Creators:
Schaller, Fabian M.1, Author              
Neudecker, Max1, Author              
Saadatfar, Mohammad, Author
Delaney, Gary, Author
Schröder-Turk, Gerd E., Author
Schröter, Matthias1, Author              
Affiliations:
1Group Statistical mechanics of granular media, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, DE, ou_2063310              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2015-04-142015-04-17
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevLett.114.158001
BibTex Citekey: schaller-prl-2015
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Title: Physical Review Letters
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: 5 Volume / Issue: 114 (15) Sequence Number: 158001 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: /journals/resource/954925433406_1