Multiscale FEM approach for hysteresis friction of rubber on rough surfaces

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Original languageEnglish
Pages (from-to)150-168
Number of pages19
JournalComputer Methods in Applied Mechanics and Engineering
Volume296
Publication statusPublished - 11 Aug 2015

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

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Cite this

Multiscale FEM approach for hysteresis friction of rubber on rough surfaces. / Wagner, Paul; Wriggers, Peter; Klapproth, Corinna et al.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 296, 11.08.2015, p. 150-168.

Research output: Contribution to journalArticleResearchpeer review

Wagner P, Wriggers P, Klapproth C, Prange C, Wies B. Multiscale FEM approach for hysteresis friction of rubber on rough surfaces. Computer Methods in Applied Mechanics and Engineering. 2015 Aug 11;296:150-168. doi: 10.1016/j.cma.2015.08.003
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AU - Wagner, Paul

AU - Wriggers, Peter

AU - Klapproth, Corinna

AU - Prange, Corinna

AU - Wies, Burkhard

N1 - Publisher Copyright: © 2015 Elsevier B.V. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.

PY - 2015/8/11

Y1 - 2015/8/11

N2 - 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.

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KW - Computational homogenization

KW - Contact mechanics

KW - Multiscale analysis

KW - Rubber friction

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