TY - JOUR
T1 - First-order rigidity transition and multiple stability regimes for random networks with internal stresses
AU - Head, D.A.
N1 - First-order rigidity transition and multiple stability regimes for random networks with internal stresses
PY - 2004
Y1 - 2004
N2 - By applying effective medium-style calculations to random spring networks, we demonstrate that internal stresses fundamentally alter the nature of the rigidity transition in disordered materials, changing it from continuous to first order and increasing the mean coordination number z at which rigidity first occurs. Furthermore, we predict the existence of a novel stability regime at low z when the distribution of stresses is asymmetric. Means of verifying these predictions are suggested.
AB - By applying effective medium-style calculations to random spring networks, we demonstrate that internal stresses fundamentally alter the nature of the rigidity transition in disordered materials, changing it from continuous to first order and increasing the mean coordination number z at which rigidity first occurs. Furthermore, we predict the existence of a novel stability regime at low z when the distribution of stresses is asymmetric. Means of verifying these predictions are suggested.
U2 - 10.1088/0305-4470/37/45/004
DO - 10.1088/0305-4470/37/45/004
M3 - Article
VL - 37
SP - 10771
EP - 10778
JO - Journal of Physics A. Mathematical and General
JF - Journal of Physics A. Mathematical and General
SN - 0305-4470
IS - 45
ER -