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

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