The friction phenomena in underdamped three layers Frenkel-Kontorova model

Abstract

Hysteretic phenomenon is studied for an underdamped commensurate three layers model consisting of two harmonic chains that both move over the substrate. In the depinning process, two critical points F-1 and F-2 are found. In the pinning process, two critical points F-3 and F-4 are also found. The dependence of four critical forces on the system parameters is investigated. The analytical result of critical force F-1 is obtained which is in good agreement with the numerical one.