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    Analysis of grain-scale measurements of sand using kinematical complex networks

    Access Status
    Fulltext not available
    Authors
    Walker, D.
    Tordesillas, A.
    Pucilowski, S.
    Lin, Qun
    Rechenmacher, A.
    Abedi, S.
    Date
    2012
    Type
    Journal Article
    
    Metadata
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    Citation
    Walker, D. and Tordesillas, A. and Pucilowski, S. and Lin, Q. and Rechenmacher, A. and Abedi, S. 2012. Analysis of grain-scale measurements of sand using kinematical complex networks. International Journal of Bifurcation and Chaos. 22 (12): Article ID 1230042.
    Source Title
    International Journal of Bifurcation and Chaos
    DOI
    10.1142/S021812741230042X
    ISSN
    02181274
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/19693
    Collection
    • Curtin Research Publications
    Abstract

    Plastic deformation in a plane strain compression test of a dense sand specimen is studied using functional networks. Kinematical information for the deforming material is obtained using digital image correlation (DIC) and summarized by two types of complex network with different connectivity rules establishing links between the network nodes which represent the DIC observation sites. In the first, nodes are connected to a minimum fixed number of neighbors with similar kinematics such that the resulting network forms one connected component. In the second, nodes are connected to other nodes whose kinematical behavior lies within a fixed distance of each other in an observation space. The fixed radius is determined using optimization with a stopping criterion again with the resulting network forming one connected component. We find different network properties of each network provide useful information about plastic deformation and nonaffine kinematical processes emerging within the material. In particular, persistent shear bands and mesoscale structures within them (e.g. vortices) appear to be closely related to values of network properties including closeness centrality, clustering coefficients, k-cores and the boundaries of community structures determined using local modularity.

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