https://doi.org/10.1007/s100510170334
Pinning of cracks in two-dimensional disordered media
1
Laboratory of Physics, Helsinki University of Technology, Otakaari 1M, PO Box 1100, 02015 HUT, Espoo, Finland
2
KCL, Finnish Pulp and Paper Research Institute, PO Box 70, 02151 Espoo, Finland
Corresponding author: a mja@fyslab.hut.fi
Received:
4
April
2000
Revised:
10
October
2000
Published online: 15 January 2001
We study the statistics of crack pinning in two dimensions by experiments and simulations of directed polymers in random media. Mode I tensile tests on paper samples show a delocalization phenomenon as the notch length is varied if the fraction of cracks pinned to the notch is monitored. This is compared with the behavior of directed polymers in the presence of both an energetically favorable localized pinning center and bulk disorder. An analysis of the crack interface roughness indicates self-affine behavior with a roughness exponent ζ in the proximity of the minimum energy surface value 2/3.
PACS: 62.20.Mk – Fatigue, brittleness, fracture, and cracks / 62.20.Fe – Deformation and plasticity (including yield, ductility, and superplasticity) / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 81.40.Np – Fatigue, corrosion fatigue, embrittlement, cracking, fracture and failure
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
