Rigidity loss in disordered systems

Three scenarios

Wouter G. Ellenbroek, Varda F. Hagh, Avishek Kumar, Michael Thorpe, Martin Van Hecke

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

We reveal significant qualitative differences in the rigidity transition of three types of disordered network materials: randomly diluted spring networks, jammed sphere packings, and stress-relieved networks that are diluted using a protocol that avoids the appearance of floppy regions. The marginal state of jammed and stress-relieved networks are globally isostatic, while marginal randomly diluted networks show both overconstrained and underconstrained regions. When a single bond is added to or removed from these isostatic systems, jammed networks become globally overconstrained or floppy, whereas the effect on stress-relieved networks is more local and limited. These differences are also reflected in the linear elastic properties and point to the highly effective and unusual role of global self-organization in jammed sphere packings.

Original languageEnglish (US)
Article number135501
JournalPhysical Review Letters
Volume114
Issue number13
DOIs
StatePublished - Apr 1 2015

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rigidity
elastic properties

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ellenbroek, W. G., Hagh, V. F., Kumar, A., Thorpe, M., & Van Hecke, M. (2015). Rigidity loss in disordered systems: Three scenarios. Physical Review Letters, 114(13), [135501]. https://doi.org/10.1103/PhysRevLett.114.135501

Rigidity loss in disordered systems : Three scenarios. / Ellenbroek, Wouter G.; Hagh, Varda F.; Kumar, Avishek; Thorpe, Michael; Van Hecke, Martin.

In: Physical Review Letters, Vol. 114, No. 13, 135501, 01.04.2015.

Research output: Contribution to journalArticle

Ellenbroek, WG, Hagh, VF, Kumar, A, Thorpe, M & Van Hecke, M 2015, 'Rigidity loss in disordered systems: Three scenarios', Physical Review Letters, vol. 114, no. 13, 135501. https://doi.org/10.1103/PhysRevLett.114.135501
Ellenbroek WG, Hagh VF, Kumar A, Thorpe M, Van Hecke M. Rigidity loss in disordered systems: Three scenarios. Physical Review Letters. 2015 Apr 1;114(13). 135501. https://doi.org/10.1103/PhysRevLett.114.135501
Ellenbroek, Wouter G. ; Hagh, Varda F. ; Kumar, Avishek ; Thorpe, Michael ; Van Hecke, Martin. / Rigidity loss in disordered systems : Three scenarios. In: Physical Review Letters. 2015 ; Vol. 114, No. 13.
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