Paper Title:
Multiscale Modelling of Stick-Slip Transition of Rough (Fractal) Surfaces
  Abstract

The apparent shear strength of rock discontinuities is lower than that of small scale samples. At the same time, the sliding behavior is characterized, in situ, by marked instabilities. Numerical algorithms permit to calculate contact forces at any point, and to describe the stick-slip transition. On the other hand, the critical aspects are not captured by classical theories. Multiscale simulations show that the contact domain between rough surfaces is a lacunar set. This explains the size-dependence of the apparent friction coefficient. By applying an increasing tangential force, the regime of partial-slip comes into play. However, the continuous and smooth transition to fullsliding predicted by the Cattaneo-Mindlin theory is not occurring in real situations. We implement a numerical renormalization group technique, taking into account the redistribution of stress consequent to partial-slip. This permits the critical value of the tangential force to be found. The critical force is less than the one predicted by Coulomb’s theory, and depends on the specimen size and on the topology of the interface.

  Info
Periodical
Materials Science Forum (Volumes 539-543)
Main Theme
Edited by
T. Chandra, K. Tsuzaki, M. Militzer , C. Ravindran
Pages
2594-2600
DOI
10.4028/www.scientific.net/MSF.539-543.2594
Citation
B. Chiaia, M. Borri-Brunetto, "Multiscale Modelling of Stick-Slip Transition of Rough (Fractal) Surfaces", Materials Science Forum, Vols. 539-543, pp. 2594-2600, 2007
Online since
March 2007
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$32.00
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