Multiscale FEM approach for hysteresis friction of rubber on rough surfaces

authored by: Paul Wagner, Peter Wriggers, Corinna Klapproth, Corinna Prange, Burkhard Wies
Abstract: The most important contribution to rubber friction on rough surfaces is the so-called hysteresis. The excitation of the viscoelastic material is induced by the surface asperities. Hysteresis friction originates from the internal energy dissipation. Since the roughness occurs over a wide range of length scales, in this work a multiscale FEM approach is developed to solve the problem with acceptable computational costs.A split of the surface in macroscopic and microscopic parts is carried out via a decomposition of the power spectral density. The coupling between the scales is performed by passing of homogenized, velocity- and pressure-dependent coefficients of friction. The values are gained from frictionless calculations on the micro scale. The proposed multiscale FEM approach is analyzed and proven on an artificial sinusoidal surface. Finally, the approach is applied to a measured rough surface profile showing good agreement with experimental data for different rubber materials.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Continental AG
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 296
Pages: 150-168
No. of pages: 19
ISSN: 0045-7825
Publication date: 11.08.2015
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, General Physics and Astronomy, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.cma.2015.08.003 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{36346fedf2d64e7f91a0ef0600aedb2a,
title = "Multiscale FEM approach for hysteresis friction of rubber on rough surfaces",
abstract = "The most important contribution to rubber friction on rough surfaces is the so-called hysteresis. The excitation of the viscoelastic material is induced by the surface asperities. Hysteresis friction originates from the internal energy dissipation. Since the roughness occurs over a wide range of length scales, in this work a multiscale FEM approach is developed to solve the problem with acceptable computational costs.A split of the surface in macroscopic and microscopic parts is carried out via a decomposition of the power spectral density. The coupling between the scales is performed by passing of homogenized, velocity- and pressure-dependent coefficients of friction. The values are gained from frictionless calculations on the micro scale. The proposed multiscale FEM approach is analyzed and proven on an artificial sinusoidal surface. Finally, the approach is applied to a measured rough surface profile showing good agreement with experimental data for different rubber materials.",
keywords = "Computational homogenization, Contact mechanics, Multiscale analysis, Rubber friction",
author = "Paul Wagner and Peter Wriggers and Corinna Klapproth and Corinna Prange and Burkhard Wies",
note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.",
year = "2015",
month = aug,
day = "11",
doi = "10.1016/j.cma.2015.08.003",
language = "English",
volume = "296",
pages = "150--168",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}