Multiscale FEM approach for hysteresis friction of rubber on rough surfaces

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.