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Aperture of rough cracks

Plouraboué, Franck and Kurowski, Pascal and Hulin, Jean-Pierre and Roux, Stéphane and Schmittbuhl, Jean Aperture of rough cracks. (1995) Physical Review E, 51 (3). 1675-1685. ISSN 1063-651X

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Official URL: http://dx.doi.org/10.1103/PhysRevE.51.1675


We analyse the problem of the geometrical aperture between the two faces of a crack described as a self-affine surface. We consider the contact of the two surfaces after a relative rigid-body displacement (translation and/or rotation) of one side of the crack with respect to the opposite one. A number of properties are obtained analytically and illustrated by numerical simulations on generated self-affine surfaces. The results concern the scaling of the average aperture which is shown to include a very slowly varying correction term (logarithmic with respect to the displacement) : this affects severely the dependence of the measured aperture on the displacement. These results are used to analyse experimental data obtained on a granite sample and to estimate the roughness exponent from a global measurement. This estimate is shown to agree with an analysis of the roughness based on profilometry measurements.

Item Type:Article
Additional Information:Thanks to The American Physical Society. The definitive version is available at http://dx.doi.org/10.1103/PhysRevE.51.1675
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole Supérieure de Physique et de Chimie Industrielles - ESPCI (FRANCE)
Other partners > Université de Paris Diderot - Paris 7 (FRANCE)
Other partners > Université Pierre et Marie Curie, Paris 6 - UPMC (FRANCE)
Other partners > Ecole Normale Supérieure de Paris - ENS Paris (FRANCE)
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Deposited On:09 May 2012 12:07

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