Crack Surface Roughness in ThreeDimensional Random Fuse Networks
Abstract
Using large system sizes with extensive statistical sampling, we analyze the scaling properties of crack roughness and damage profiles in the threedimensional 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 $$W \sim L^{0.5}$$ and is consistent with the scaling of localization length $$\xi \sim L^{0.5}$$ 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 lognormal distribution.
 Authors:
 ORNL
 University of La Sapienza, Rome
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1003700
 DOE Contract Number:
 DEAC0500OR22725
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review E; Journal Volume: 74; Journal Issue: 2
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DISTRIBUTION; PEAK LOAD; ROUGHNESS; SAMPLING
Citation Formats
Nukala, Phani K, Zapperi, Stefano, and Simunovic, Srdjan. Crack Surface Roughness in ThreeDimensional Random Fuse Networks. United States: N. p., 2006.
Web. doi:10.1103/PhysRevE.74.026105.
Nukala, Phani K, Zapperi, Stefano, & Simunovic, Srdjan. Crack Surface Roughness in ThreeDimensional Random Fuse Networks. United States. doi:10.1103/PhysRevE.74.026105.
Nukala, Phani K, Zapperi, Stefano, and Simunovic, Srdjan. Sun .
"Crack Surface Roughness in ThreeDimensional Random Fuse Networks". United States.
doi:10.1103/PhysRevE.74.026105.
@article{osti_1003700,
title = {Crack Surface Roughness in ThreeDimensional Random Fuse Networks},
author = {Nukala, Phani K and Zapperi, Stefano and Simunovic, Srdjan},
abstractNote = {Using large system sizes with extensive statistical sampling, we analyze the scaling properties of crack roughness and damage profiles in the threedimensional 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 $W \sim L^{0.5}$ and is consistent with the scaling of localization length $\xi \sim L^{0.5}$ 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 lognormal distribution.},
doi = {10.1103/PhysRevE.74.026105},
journal = {Physical Review E},
number = 2,
volume = 74,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}

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