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000002767 084__ $$2WoS$$aPhysics, Condensed Matter
000002767 1001_ $$0P:(DE-Juel1)130885$$aPersson, B. N. J.$$b0$$uFZJ
000002767 245__ $$aOn the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces
000002767 260__ $$aBristol$$bIOP Publ.$$c2008
000002767 300__ $$a312001
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000002767 520__ $$aWhen 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.
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