Volume 60, Number 5, December 2002
|Page(s)||724 - 730|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 November 2002|
Elastic response of rough surfaces in partial contact
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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.