Persistence of force networks in compressed granular media

M. Kramar, A. Goullet, L. Kondic, K. Mischaikow

    Research output: Contribution to journalArticlepeer-review

    47 Citations (Scopus)

    Abstract

    We utilize the tools of persistent homology to analyze features of force networks in dense granular matter, modeled as a collection of circular, inelastic frictional particles. The proposed approach describes these networks in a precise and tractable manner, allowing us to identify features that are difficult or impossible to characterize by other means. In contrast to other techniques that consider each force threshold level separately, persistent homology allows us to consider all threshold levels at once to describe the force network in a complete and insightful manner. We consider continuously compressed system of particles characterized by varied polydispersity and friction in two spatial dimensions. We find significant differences between the force networks in these systems, suggesting that their mechanical response may differ considerably as well.

    Original languageEnglish
    Article number042207
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume87
    Issue number4
    DOIs
    Publication statusPublished - 2013 Apr 22

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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