Finite-element analysis of contact between elastic self-affine surfaces

Details Finite-element analysis of contact between elastic self-affine surfaces Finite-element analysis of contact between elastic self-affine surfaces

2004-04-09

arxiv.org/abs/cond-mat/0404237v2

Physics

Condensed Matter

Materials Science

13 pages, 15 figures. Replaced after changed in response to referee comments. Final two figures changed

Scientific paper

10.1103/PhysRevE.70.026117

Finite element methods are used to study non-adhesive, frictionless contact between elastic solids with self-affine surfaces. We find that the total contact area rises linearly with load at small loads. The mean pressure in the contact regions is independent of load and proportional to the rms slope of the surface. The constant of proportionality is nearly independent of Poisson ratio and roughness exponent and lies between previous analytic predictions. The contact morphology is also analyzed. Connected contact regions have a fractal area and perimeter. The probability of finding a cluster of area $a_c$ drops as $a_c^{-\tau}$ where $\tau $ increases with decreasing roughness exponent. The distribution of pressures shows an exponential tail that is also found in many jammed systems. These results are contrasted to simpler models and experiment.

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