On the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces

Details On the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces On the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces

2008-05-06

arxiv.org/abs/0805.0712v1

Physics

Condensed Matter

Soft Condensed Matter

3 pages

Scientific paper

10.1088/0953-8984/20/31/312001

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 , where sigma(q) is the Fourier transform of sigma(x) and where <...> stands for ensemble average. I relate to the elastic energy stored at the interface, and I show that for self affine fractal surfaces, quite generally \sim q^{-(1+H)}, where H is the Hurst exponent of the self-affine fractal surface.

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