Static and Kinetic Friction From Nanoscale Slip-A Multiscale Approach Using a 2D Binary Hierarchy of Nodes

A local, elastic deformation model is combined with a dynamic simulation to investigate nanoscale slip between a rigid, curved pin and an elastic slab, and its influence on static and kinetic friction. The elastic deformation model utilizes a novel multiscale grid based on a binary hierarchy. To maximize accuracy, bi-quadratic functions are introduced to interpolate the stresses on the boundaries of the nodal elements. The onset of slip is based on a maximum allowable nodal shear stress to nodal pressure ratio. A nanoscale friction function is developed by translating the pin quasistatically across the slab. The effect of the nanoscale friction profile on a dynamic system is investigated by integrating the equations of motions governing the pin as it is pulled by a stage via a coupling spring. A direct connection is found between the nanoscale slip characteristics and macroscopically observed static and kinetic coefficients of friction.

Automated summary

In this study, a combination of a local, elastic deformation model and dynamic simulation was used to investigate nanoscale slip between a rigid, curved pin and an elastic slab and its impact on static and kinetic friction. The findings demonstrate a direct connection between the nanoscale slip characteristics and the macroscopically observed coefficients of friction.