Rigidity loss in disordered systems : three scenarios

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DOI http://dx.doi.org/10.1103/PhysRevLett.114.135501
Reference W.G. Ellenbroek, V.F. Hagh, A. Kumar, M.F. Thorpe and M. van Hecke, Rigidity loss in disordered systems : three scenarios, Phys.Rev.Lett. 114, (Article number: 135501), 1-5 (2015)
Group Mechanical Metamaterials

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.