Abstract
The friction coefficient between surfaces depends not only on their roughness but also on their relative speed. The aim of this work is to show how the friction coefficient would vary with the relative speed of the two rough surfaces provided accounting affects of their reciprocal correlation. The reciprocal spectral density of the two surfaces is studied in addition to their structure function. It is shown that the reciprocal spectral density has important impacts on the friction coefficient of the surfaces, in a sense that a positive or a negative reciprocal correlation would cause a decrease or an increase in the friction coefficient. In addition, the friction is studied in the context of the relaxation time. It is shown that there is a threshold for the relative velocity of the two surfaces, where by exceeding the threshold velocity the friction coefficient would not increase, but decrease.
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