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Phys. Rev. Lett. 87, 116101 (2001) [4 pages]

Elastoplastic Contact between Randomly Rough Surfaces

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B. N. J. Persson
IFF, FZ-Jülich, 52425 Jülich, Germany

Received 29 January 2001; published 27 August 2001

I have developed a theory of contact mechanics between randomly rough surfaces. The solids are assumed to deform elastically when the stress σ is below the yield stress σY, and plastically when σ reaches σY. I study the dependence of the (apparent) area of contact on the magnification. I show that in most cases the area of real contact A is proportional to the load. If the rough surface is self-affine fractal (Hurst exponent H) the whole way up to the lateral size L of the nominal contact area, then (assuming no plastic deformation) ALH.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.116101
DOI:
10.1103/PhysRevLett.87.116101
PACS:
81.40.Pq, 62.20.-x

See Also

Comment: F. M. Borodich, Comment on “Elastoplastic Contact between Randomly Rough Surfaces”, Phys. Rev. Lett. 88, 069601 (2002).

Reply: B. N. Persson, Persson Replies:, Phys. Rev. Lett. 88, 069602 (2002).