TY - JOUR
T1 - Rigidity loss in disordered systems
T2 - Three scenarios
AU - Ellenbroek, Wouter G.
AU - Hagh, Varda F.
AU - Kumar, Avishek
AU - Thorpe, Michael
AU - Van Hecke, Martin
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/4/1
Y1 - 2015/4/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.114.135501
DO - 10.1103/PhysRevLett.114.135501
M3 - Article
C2 - 25884127
AN - SCOPUS:84929598105
SN - 0031-9007
VL - 114
JO - Physical Review Letters
JF - Physical Review Letters
IS - 13
M1 - 135501
ER -