TY - JOUR
T1 - Rigidity percolation in glassy structures
AU - Thorpe, M. F.
N1 - Funding Information:
I would like to thank my graduate students, E. Garboczi and H. He, who did much of the work described here. Full details can be found in the references cited. I would also like to thank the ONR (contract N00014-80-C-0610) and the NSF (grant DMR 8317610) for financial support.
PY - 1985/11/11
Y1 - 1985/11/11
N2 - We review the new concept of rigidity percolation and show that if local flexible units are joined together to form a network, the composite consists of floppy and rigid regions. When the rigid regions percolate, the whole network becomes rigid and resists attempts at elastic deformation. These ideas are applied to network glasses. It is shown that in the floppy region there exist low-frequency modes that should show up in inelastic neutron scattering.
AB - We review the new concept of rigidity percolation and show that if local flexible units are joined together to form a network, the composite consists of floppy and rigid regions. When the rigid regions percolate, the whole network becomes rigid and resists attempts at elastic deformation. These ideas are applied to network glasses. It is shown that in the floppy region there exist low-frequency modes that should show up in inelastic neutron scattering.
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U2 - 10.1016/0022-3093(85)90056-0
DO - 10.1016/0022-3093(85)90056-0
M3 - Article
AN - SCOPUS:0009610207
SN - 0022-3093
VL - 76
SP - 109
EP - 116
JO - Journal of Non-Crystalline Solids
JF - Journal of Non-Crystalline Solids
IS - 1
ER -