Abstract
A generic model has been developed to simulate the effect of phonon interactions during nanoscale sliding with an incommensurate interface. A rigid slider or array of sliders is translated across a 3D elastic slab whose mass elements are harmonically coupled, either in a simple cubic structure (for vast majority of cases) or in a face-centered cubic structure Each slider interacts with the slab via the Lennard-Jones 6-12 intermolecular potential. Elastic waves are allowed to propagate without any damping and no energy is removed from the system. Boundary conditions are set sufficiently remotely that no significant wave energy returns to the interface from boundary reflection. Simulation results demonstrate that for such nanoscale contacts, (1) the presence of one slider can affect the friction felt by another slider through phonon generation; (2) friction force scales with contact width rather than with contact area and (3) the friction force may be sensitive to the number of contact regions that comprise a given total area.
Highlights
For two contacting bodies, the friction force may be defined as the force acting in the plane of the interface that opposes the relative lateral displacement of one surface with respect to the other
A generic model of nanoscale sliding was developed to investigate the contributions of phonons to kinetic friction
A 2D rigid slider or, alternatively, a 2D array of sliders interacted with an elastic slab via a Lennard-Jones intermolecular potential
Summary
The friction force may be defined as the force acting in the plane of the interface that opposes the relative lateral displacement of one surface with respect to the other. (The contact area of a given slider grid is taken to be the size of the region bounded by the perimeter nodes.) The results are displayed, which reveals the friction force as a function of normal load.
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