Multiscale resolution of networks of granular media network evolution – a network of networks

David M. Walker, Michael A. Small, A Tordesillas, A.L L Rechenmacher

    Research output: Chapter in Book/Conference paperConference paper

    Abstract

    The experimental technique of Digital Image Correlation is used to measure the displacement of clusters of glass beads in an assembly across strain intervals
    throughout a plane strain compression test. For each strain interval a complex network is constructed whose connectivity captures similarity of kinematical response of the observed clusters. We propose a method of obtaining a network
    of networks which collates the temporal activity of these kinematical networks through loading. This is done by considering convex combinations of network adjacency matrices with coefficients determined using a distance kernel
    function. The use of a distance kernel allows the introduction of a network interaction score which enables the deformation history to be partitioned into temporal sequences of different kinematical behaviour. A network of networks in each of these temporal ranges helps identify areas within the material responsible for onset of failure, the localized failure zone and shear band activity
    Original languageEnglish
    Title of host publication2013 International Symposium on Nonlinear Theory and its Applications (NOLTA 2013)
    Pages294-297
    Number of pages4
    VolumeVol.2pp.294-297
    ISBN (Electronic)2188-5079
    DOIs
    Publication statusPublished - 2013
    Event2013 International Symposium on Nonlinear Theory and its Applications(NOLTA 2013) - Santa Fe,USA
    Duration: 8 Sep 201311 Sep 2013

    Conference

    Conference2013 International Symposium on Nonlinear Theory and its Applications(NOLTA 2013)
    Period8/09/1311/09/13

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    Cite this

    Walker, D. M., Small, M. A., Tordesillas, A., & Rechenmacher, A. L. L. (2013). Multiscale resolution of networks of granular media network evolution – a network of networks. In 2013 International Symposium on Nonlinear Theory and its Applications (NOLTA 2013) (Vol. Vol.2pp.294-297, pp. 294-297) https://doi.org/10.15248/proc.2.38