The paper presents calculations of the deformation force of friction for an indenter sliding against a viscoelastic foundation, which properties are described by the Kelvin model. The roughness of the indenter is presented by the Cantor–Borodin fractal consisting of a set of rectangular asperities. The friction force of the indenter is found by summation of contributions of single asperities, each having the friction force determined via energy dissipation. The justifiability of this summation is substantiated. The effect of the loading, sliding velocity and geometric characteristics of the roughness on the coefficient of friction is analyzed. The contribution of the multilevel roughness into the friction force is estimated.
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И. А. Солдатенков (2015) studied this question.
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