Issue |
Europhys. Lett.
Volume 60, Number 5, December 2002
|
|
---|---|---|
Page(s) | 724 - 730 | |
Section | Condensed matter: structure, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2002-00368-1 | |
Published online | 01 November 2002 |
Elastic response of rough surfaces in partial contact
1
Institut Non-Linéaire de Nice, UMR CNRS 6618,
Université de Nice-Sophia Antipolis
1361 Route des Lucioles, F-06560 Valbonne, France
2
Department of Physics, NTNU - N-7491 Trondheim, Norway
3
NORDITA and Niels Bohr Institute
Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
4
Laboratoire de Géologie, UMR CNRS 8538,
École Normale Supérieure
24 rue Lhomond, F-75231 Paris Cédex 05, France
Received:
5
November
2001
Accepted:
18
September
2002
We model numerically the partial normal contact of two elastic rough surfaces with highly correlated asperities. Facing surfaces are unmated and described as self-affine with a Hurst exponent H. The numerical algorithm is based on Fourier acceleration and allows for numerous and large system computations. We find that for H=0.6 and H=0.8, the force F scales as A1.1, where A is the contact area. This is in contrast to the law , predicting an exponent of 0.8 and 0.9, respectively, which was suggested by Roux et al. (Europhys. Lett., 23 (1993) 277). We propose an explanation for this discrepancy.
PACS: 62.20.Qp – Tribology and hardness / 68.35.Ct – Interface structure and roughness / 91.60.Ba – Elasticity, fracture, and flow
© EDP Sciences, 2002
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