Generalized master curve procedure for elastomer friction taking into account dependencies on velocity, temperature and normal force

TL;DR

This paper proposes a generalized master curve method for elastomer friction that accounts for dependencies on velocity, temperature, and normal force by incorporating indentation depth as a key parameter, improving the modeling of friction behavior.

Contribution

It introduces a new master curve procedure that considers indentation depth, enabling better prediction of elastomer friction across different conditions.

Findings

Master curve successfully unifies friction data across velocities and temperatures.

Indentation depth significantly influences the friction coefficient.

Vertical and horizontal shifts are necessary for different indentation depths.

Abstract

In the sliding contact of elastomer on a rigid substrate, the coefficient of friction may depend on a large number of system and loading parameters, including normal force, sliding velocity, shape of contacting bodies, surface roughness and so on. It was argued earlier that the contact configuration is determined more immediately through the indentation depth than the normal force, and thus the indentation depth can be considered as one of "robust governing parameters" of friction. Both models of friction of simple shapes and fractal surfaces demonstrate that the coefficient of friction of elastomers should be generally a function of dimensionless combinations of sliding velocity, surface gradient, relaxation time and size of micro-contacts. The relaxation time does depend only on temperature and the surface slope and the size of micro contacts mostly on the indentation depth. Based on this general structure of the law of friction, we propose a generalized master curve procedure for elastomer friction where the significant governing parameter - indentation depth (or normal force) was taken into account. Unlike the generation of the classical master curve by horizontal shifting of dependence "friction - logarithm of velocity" for different temperatures, in the case of various indentation depth the shifting in both horizontal and vertical direction is required. We experimentally investigated coefficient of friction of elastomer on sliding velocity for different indentation depths and temperatures, and generated a master curve according to this hypothesis.