On the genesis of directional friction through bristle-like mediating elements

  title={On the genesis of directional friction through bristle-like mediating elements},
  author={Paolo Gidoni and Antonio DeSimone},
  journal={arXiv: Mathematical Physics},
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… 

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