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Statistics of contacts and the dependence of their total length on the normal force for fractal surfaces with different Hirsch indices

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Abstract

In many applied problems, the main role is played by the total length L of real contacts between two rough surfaces rather than by the contact area. The dependence of the total contact length on the pressing force F for arbitrary fractal surfaces has been studied for the first time and it is established that this dependence is described by scaling relation LF 3/4.

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Original Russian Text © V.L. Popov, A.É. Filippov, 2008, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2008, Vol. 34, No. 18, pp. 47–53.

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Popov, V.L., Filippov, A.É. Statistics of contacts and the dependence of their total length on the normal force for fractal surfaces with different Hirsch indices. Tech. Phys. Lett. 34, 792–794 (2008). https://doi.org/10.1134/S106378500809023X

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  • DOI: https://doi.org/10.1134/S106378500809023X

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