Lars Pastewka, Nikolay Prodanov, Boris Lorenz, Martin H. Müser, Mark O. Robbins, Bo N. J. Persson
The stiffness K of the interface between two rough but nominally flat elastic solids is studied analytically and numerically. Over a wide range of applied squeezing pressure p, K rises linearly with p. Sublinear power law scaling is observed at small p, but computer simulations are used to demonstrate that this is a finite-size effect. Moreover, we derive accurate, analytical expressions for the exponents and prefactors of the low-pressure scaling of K by extending the contact mechanics theory of Persson to systems of finite size. Please find the supplementary material of this article here: arXiv:1210.4255
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http://arxiv.org/abs/1210.4635
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