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Statistics of fracture surfaces.

Authors
  • Santucci, Stéphane
  • Måløy, Knut Jørgen
  • Delaplace, Arnaud
  • Mathiesen, Joachim
  • Hansen, Alex
  • Haavig Bakke, Jan Øistein
  • Schmittbuhl, Jean
  • Vanel, Loïc
  • Ray, Purusattam
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Jan 01, 2007
Volume
75
Issue
1 Pt 2
Pages
16104–16104
Identifiers
PMID: 17358221
Source
Medline
License
Unknown

Abstract

We analyze the statistical distribution function for the height fluctuations of brittle fracture surfaces using extensive experimental data sampled on widely different materials and geometries. We compare a direct measurement of the distribution to an analysis based on the structure functions. For length scales delta larger than a characteristic scale Lambda that corresponds to a material heterogeneity size, we find that the distribution of the height increments Deltah=h(x+delta)-h(x) is Gaussian and monoaffine, i.e., the scaling of the standard deviation sigma is proportional to delta(zeta) with a unique roughness exponent. Below the scale Lambda we observe a deviation from a Gaussian distribution and a monoaffine behavior. We discuss for the latter, the relevance of a multiaffine analysis and the influences of the discreteness resulting from material microstructures or experimental sampling.

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