80 Friction-Induced Vibration and Self-Organization
micron scale can indeed lead to friction (Daly, Zhang, and Sokoloff 2003).
Thus, atomic-scale energy barriers combined with micron-scale roughness
lead to frictional dissipation. A simple kinetic model may be developed for
single asperity contact with a periodic substrate that represents the atomic
crystal lattice with the period L and energy amplitude B using the Arrhenius
method approach.
4.3.7 Paradoxes: Is Friction Compatible with Elasticity?
Despite the simplicity of the Amontons–Coulomb law, there are several dif-
culties in integrating friction with the rest of mechanics. Several ways to
include dry friction into Lagrangian mechanics have been suggested, but
these are quite articia ...