Journal Article

PreJuSER-2767

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png On the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces

Persson, B. N. J.FZJ*

2008
IOP Publ. Bristol

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Please use a persistent id in citations: doi:10.1088/0953-8984/20/31/312001

Abstract: When two elastic solids with randomly rough surfaces are brought in contact, a very inhomogeneous stress distribution sigma(x) will occur at the interface. Here I study the elastic energy and the correlation function <sigma(q)sigma(-q)> , where sigma(q) is the Fourier transform of sigma(x) and where <center dot center dot center dot > stands for ensemble average. I relate sigma(q)sigma(-q) to the elastic energy stored at the interface, and I show that for self- affine fractal surfaces, quite generally <sigma(q)sigma(-q)similar to q(-(1+H)), where H is the Hurst exponent of the self-affine fractal surface.

Keyword(s): J

Note: Record converted from VDB: 12.11.2012

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Contributing Institute(s):

1. Quanten-Theorie der Materialien (IFF-1)

Research Program(s):

1. Kondensierte Materie (P54)

Appears in the scientific report 2008

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