Evolution of functional connectivity in contact and force chain networks: Feature vectors, <i>k</i>-cores and minimal cycles

Antoinette Tordesillas; Patrick O'Sullivan; David M. Walker; Paramitha

doi:10.1016/j.crme.2010.09.004

Evolution of functional connectivity in contact and force chain networks: Feature vectors, k-cores and minimal cycles
[Évolution de connectivité fonctionnelle des réseaux de contact et de chaines de force]

Antoinette Tordesillas ¹ ; Patrick O'Sullivan ¹ ; David M. Walker ¹ ; Paramitha ¹

¹ Department of Mathematics & Statistics, University of Melbourne, Parkville, Victoria 3010, Australia

Comptes Rendus. Mécanique, Volume 338 (2010) no. 10-11, pp. 556-569.

Résumé
Abstract

Nous analysons la réponse constitutive de matériaux granulaires denses, au travers de l'évolution des forces de contact et de la texture, dans le cadre des réseaux complexes. L'évolution des déformations de trois classes de sous-réseaux, comprenant les cycles minimaux et les chaines de force, permet d'éclairer la disparition de connectivité fonctionnelle et de structure au cours du processus de rupture. L'analyse des processus dynamiques associés à de tels réseaux, au sein d'échantillons comprimés de manière biaxiale, révèle des aspects communs qui suggèrent l'existence d'une hiérarchie structurelle intrinsèque. En outre, l'influence de la pression de confinement et de la résistance au roulement inter-particulaire sur l'évolution de tels réseaux apparaît clairement aux échelles mésoscopique et macroscopique.

We analyze the rheological response, i.e., fabric and contact force evolution, of dense granular materials from a complex networks perspective. The strain evolution of three classes of subnetworks, i.e., k-cores, minimal cycles and force chain networks, elucidates the breakdown of functional connectivity and structure in the lead up to and during failure. Feature vectors and dynamics occurring in such networks in three different biaxially compressed two-dimensional samples reveal some common aspects which are suggestive of an intrinsic structural hierarchy in granular networks – while differences shed light on the influence of confining pressure and interparticle rolling resistance on the evolution of these networks both at the mesoscopic as well as macroscopic levels.

Publié le : 2010-10-01

DOI : 10.1016/j.crme.2010.09.004

Keywords: Rheology, Granular materials
Mot clés : Rhéologie, Matériaux granulaires

Affiliations des auteurs :

Antoinette Tordesillas ¹ ; Patrick O'Sullivan ¹ ; David M. Walker ¹ ; Paramitha ¹

¹ Department of Mathematics & Statistics, University of Melbourne, Parkville, Victoria 3010, Australia

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     journal = {Comptes Rendus. M\'ecanique},
     pages = {556--569},
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     volume = {338},
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     year = {2010},
     doi = {10.1016/j.crme.2010.09.004},
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Antoinette Tordesillas; Patrick O'Sullivan; David M. Walker; Paramitha. Evolution of functional connectivity in contact and force chain networks: Feature vectors, k-cores and minimal cycles. Comptes Rendus. Mécanique, Volume 338 (2010) no. 10-11, pp. 556-569. doi : 10.1016/j.crme.2010.09.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.09.004/

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