Topology of force networks in compressed granular media

L. Kondic, A. Goullet, C. S. O'Hern, M. Kramar, K. Mischaikow, R. P. Behringer

    研究成果: Article査読

    67 被引用数 (Scopus)

    抄録

    Using numerical simulations, we investigate the evolution of the structure of force networks in slowly compressed model granular materials in two spatial dimensions. We quantify the global properties of the force networks using the zeroth Betti number B0, which is a topological invariant. We find that B0 can distinguish among force networks in systems with frictionless vs. frictional disks and varying size distributions. In particular, we show that 1) the force networks in systems composed of frictionless, monodisperse disks differ significantly from those in systems with frictional, polydisperse disks and we isolate the effect (friction, polydispersity) leading to the differences; 2) the structural properties of force networks change as the system passes through the jamming transition; and 3) the force network continues to evolve as the system is compressed above jamming, e.g., the size of connected clusters with forces larger than a given threshold decreases significantly with increasing packing fraction.

    本文言語English
    論文番号54001
    ジャーナルEPL
    97
    5
    DOI
    出版ステータスPublished - 2012 3月

    ASJC Scopus subject areas

    • 物理学および天文学(全般)

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