TY - JOUR
T1 - Crack surface roughness in three-dimensional random fuse networks
AU - Nukala, Phani Kumar V.V.
AU - Zapperi, Stefano
AU - Šimunović, Srdan
PY - 2006
Y1 - 2006
N2 - Using large system sizes with extensive statistical sampling, we analyze the scaling properties of crack roughness and damage profiles in the three-dimensional random fuse model. The analysis of damage profiles indicates that damage accumulates in a diffusive manner up to the peak load, and localization sets in abruptly at the peak load, starting from a uniform damage landscape. The global crack width scales as W∼ L0.5 and is consistent with the scaling of localization length ξ∼ L0.5 used in the data collapse of damage profiles in the postpeak regime. This consistency between the global crack roughness exponent and the postpeak damage profile localization length supports the idea that the postpeak damage profile is predominantly due to the localization produced by the catastrophic failure, which at the same time results in the formation of the final crack. Finally, the crack width distributions can be collapsed for different system sizes and follow a log-normal distribution.
AB - Using large system sizes with extensive statistical sampling, we analyze the scaling properties of crack roughness and damage profiles in the three-dimensional random fuse model. The analysis of damage profiles indicates that damage accumulates in a diffusive manner up to the peak load, and localization sets in abruptly at the peak load, starting from a uniform damage landscape. The global crack width scales as W∼ L0.5 and is consistent with the scaling of localization length ξ∼ L0.5 used in the data collapse of damage profiles in the postpeak regime. This consistency between the global crack roughness exponent and the postpeak damage profile localization length supports the idea that the postpeak damage profile is predominantly due to the localization produced by the catastrophic failure, which at the same time results in the formation of the final crack. Finally, the crack width distributions can be collapsed for different system sizes and follow a log-normal distribution.
UR - http://www.scopus.com/inward/record.url?scp=33746845239&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.74.026105
DO - 10.1103/PhysRevE.74.026105
M3 - Article
AN - SCOPUS:33746845239
SN - 1539-3755
VL - 74
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 2
M1 - 026105
ER -