2017/01/13 by Michele Ciavarella, M. Ciavarella, Ciavarella, Michele · 1 citation
Chemical Engineering · Engineering · Physics and Astronomy · #Elasticity and Material Modeling #FOS: Physical sciences #Force Microscopy Techniques and Applications #Materials Science (cond-mat.mtrl-sci) #Rheology and Fluid Dynamics Studies #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.1701.03810
This paper contained some crucial errors in then derivation
openalex publication_date 2017/01/13 · arxiv created 2017/02/02 · arxiv updated 2017/02/06 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
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 we don't 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, and we confirm this with actual exact calculations and reference to recent Lorenz et al (2015) data. The multiscale aspect is irrelevant with respect to the real critical issue: the choice of the "free parameter" best fit truncation cutoff, which shows the models are mainly fitting equations. In this sense, we provide at least a very simple one.