@article { refId0,
	title = {On the genesis of directional friction through bristle-like mediating elements},
	journal = {ESAIM: COCV},
	volume = {23},
	number = {3},
	year = {2017},
	pages = {1023-1046},
	abstract = {<p>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{\textendash}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.</p>},
	doi = {10.1051/cocv/2017030},
	url = {https://doi.org/10.1051/cocv/2017030},
	author = {Paolo Gidoni and Antonio DeSimone}
}
