On the genesis of directional friction through bristle-like mediating elements
Abstract
We propose an explanation of the genesis of directional dry friction, as emergent property of the oscillations produced in a bristle-like mediating element by the interaction with microscale fluctuations on the surface. Mathematically, we extend a convergence result by Mielke, for Prandtl-Tomlinson-like systems, considering also non-homothetic scalings of a wiggly potential. This allows us to apply the result to some simple mechanical models, that exemplify the interaction of a bristle with a surface having small fluctuations. We find that the resulting friction is the product of two factors: a geometric one, depending on the bristle angle and on the fluctuation profile, and a energetic one, proportional to the normal force exchanged between the bristle-like element and the surface. Finally, we apply our result to discuss the with the nap/against the nap asymmetry.
Keywords
Cite
@article{arxiv.1602.05611,
title = {On the genesis of directional friction through bristle-like mediating elements},
author = {Paolo Gidoni and Antonio DeSimone},
journal= {arXiv preprint arXiv:1602.05611},
year = {2018}
}