https://doi.org/10.1140/epjb/e2003-00111-x
Analysis of long crack lines in paper webs
1
Helsinki University of Technology, Laboratory of Physics, PO Box 1100, 02015 HUT, Finland
2
KCL Science and Consulting, PO Box 70, 02151 Espoo, Finland
Corresponding author: a lsa@fyslab.hut.fi
Received:
9
December
2002
Published online:
11
April
2003
We analyze 6500 mm long fracture lines of paper as an example of crack propagation involving disorder. The cracks are asymptotically self-affine, with a roughness exponent close to 0.6. Systematic deviations from the power-law-scaling exist below a lengthscale related to the microscopic heterogeneities and possibly to a cross-over from 3d to 2d crack propagation. Several analysis methods are discussed, including first return analysis and the detection of correlated trends.
PACS: 62.20.Mk – Fatigue, brittleness, fracture, and cracks / 81.40.Np – Fatigue, corrosion fatigue, embrittlement, cracking, fracture and failure / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 62.20.Fe – Deformation and plasticity (including yield, ductility, and superplasticity)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003