2005/07/26 by Jan Øystein Haavig Bakke, T.A. Ramstad, Bakke, Jan Øystein Haavig +4
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Fatigue and fracture mechanics #Material Properties and Failure Mechanisms #Materials Science (cond-mat.mtrl-sci) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0507611
4 pages, 4 figures
arxiv created 2005/07/26 · openalex publication_date 2005/07/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We measure the roughness exponent and the correlation length exponent of a stress-weighted percolation process in the central force model in 2D. The roughness exponent is found to be zeta = 0.75 ± 0.03 and the correlation length exponent is found to be nu = 1.7 ± 0.3. This result supports a conjecture that the fracture roughness for large scales is controlled by a stress weighted percolation process, and the fracture roughness can by calculated from the correlation length exponent by zeta = 2*nu/(1+2*nu). We also compare global and local measurements of the fracture roughness and do not find sign of anomalous scaling in the central force model.