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Pinning of cracks in two-dimensional disordered media

  • J. Rosti
  • L.I. Salminen
  • E.T. Seppälä
  • M.J. Alava
  • K.J. Niskanen
Article

Abstract:

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 

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Copyright information

© EDP Sciences, Springer-Verlag 2001

Authors and Affiliations

  • J. Rosti
    • 1
  • L.I. Salminen
    • 1
  • E.T. Seppälä
    • 1
  • M.J. Alava
    • 1
  • K.J. Niskanen
    • 2
  1. 1.Laboratory of PhysicsHelsinki University of TechnologyEspooFinland
  2. 2.KCL,Finnish Pulp and Paper Research InstituteEspooFinland

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