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Publications [#248385] of Joshua Socolar

Papers Published

  1. Socolar, JES, Discrete models of force chain networks, Discrete and Continuous Dynamical Systems Series B, vol. 3 no. 4 (January, 2003), pp. 601-618, American Institute of Mathematical Sciences (AIMS), ISSN 1531-3492 [0212162], [doi]
    (last updated on 2019/04/24)

    Abstract:
    A fundamental property of any material is its response to a localized stress applied at a boundary. For granular materials consisting of hard, cohesionless particles, not even the general form of the stress response is known. Directed force chain networks (DFCNs) provide a theoretical frame-work for addressing this issue, and analysis of simplified DFCN models reveal both rich mathematical structure and surprising properties. We review some basic elements of DFCN models and present a class of homogeneous solutions for cases in which force chains are restricted to lie on a discrete set of directions.