Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:B3L-A

Session:

Number:294

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

David M. Walker,  Antoinette Tordesillas,  Amy L. Rechenmacher,  Michael Small,  

pp.294-297

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.294

PDF download (700.8KB)

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.

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