Similarity Networks of the Functional Evolution of Cycles in Structural Networks

David M. Walker, A. Tordesillas, G Froyland

Research output: Chapter in Book/Conference paperConference paper

Abstract

We construct networks summarizing similarity of local mesoscopic cycle evolution within structural contact networks of quasistatically deforming dense granular materials. In essence, at each stage of the deformation, a contact network is created and a minimal cycle basis is calculated. For each grain we compare its local mesoscopic cycle topology across a specified strain (or temporal) interval and summarize this evolution in a similarity network. We propose a prescription for finding a suitably sized strain interval. Concentrating on times when stickslip
or jamming-unjamming behaviour is evident we relate properties of the similarity networks (e.g., community structures) to areas of failure throughout the material.
Original languageEnglish
Title of host publication2012 International Symposium on Nonlinear Theory and its Applications
Pages502-505
Number of pages4
Publication statusPublished - 2012
Externally publishedYes
Event2012 International Symposium on Nonlinear Theory and its Applications NOLTA - Majorca,Spain
Duration: 22 Oct 201226 Oct 2012

Conference

Conference2012 International Symposium on Nonlinear Theory and its Applications NOLTA
Period22/10/1226/10/12

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