A simplified version of Persson's multiscale theory for rubber friction due to viscoelastic losses

research-articleA simplified version of Persson's multiscale theory for rubber friction due to viscoelastic losses Michele Ciavarella[-] Author and Article Information Michele Ciavarella

Politecnico di BARI. Center of Excellence in Computational Mechanics. Viale Gentile 182, 70126 Bari
Mciava@poliba.it

1Corresponding author.

Abstract

We show the full multiscale Persson’s theory for rubber friction due to viscoelastic losses can be approximated extremely closely to simpler models, like that suggested by Persson in 1998 and similarly by Popov in his 2010 book (but notice that we do not make any use of the so-called "Method of Dimensionality Reduction"), so it is essentially a single scale model at the so called large wavevector cutoff. The dependence on the entire spectrum of roughness is therefore only confusing, at least for range of fractal dimensions of interest D ? 2.2, and we confirm this with actual exact calculations and reference to recent Lorenz et al data. Moreover, we discuss the critical assumption of the choice of the "free parameter" best fit truncation cutoff.

ASMEdoi:10.1115/1.4036917History: Received February 01, 2017; Revised April 27, 2017