Study on the Apparent Friction Coefficient between a Deformable and a Rough Rigid Body under Large Sliding

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The mechanical analysis of sliding frictional contact under small scales is important to improve the understanding about the influence of the contact conditions on the real contact area and, consequently, on the apparent coefficient of friction. This study uses the finite element method to model the contact between an elastoplastic body and a rigid surface with a unidirectional sinusoidal topography, including large sliding. A sensitivity analysis is presented, studying the influence of the initial average pressure, local coefficient of friction and asperity wavelength on the contact conditions. The ratio between total tangential and normal force (apparent friction coefficient) reaches a steady state after a sliding distance of five roughness wavelengths, except for lower values of average initial contact pressure. Increasing the initial average contact pressure leads to an increase of the steady state apparent friction coefficient, particularly for a surface with sharper asperities. This increasing tends to stagnate also with the increase of the local friction coefficient. Withing the cases studied, increasing the initial average contact pressure from 25% to 100% of the material yield stress, leads to an increase of up to 0.07 in the apparent coefficient of friction and of the real-to-apparent contact area ratio up to 30%.

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205-214

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April 2026

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