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Journal Article | FZJ-2025-03176 |
2025
American Institute of Physics
Melville, NY
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Please use a persistent id in citations: doi:10.1063/5.0274655 doi:10.34734/FZJ-2025-03176
Abstract: I consider the contact mechanics for a layered material, consisting of an elastically soft film glued to a hard substrate. I calculate the area of real contact for surfaces with fractal-like roughness and for surfaces with roughness in narrow length scale regions. For the fractal-like surfaces, when the product q0d of the film thickness d and the low cut-off wavenumber q0 of the surface roughness power spectrum satisfy q0d < 0.1, the effective modulus becomes very large. This results in large contact stresses, which can induce plastic deformation or wear, in particular during sliding contact. I also calculate the probability distributions of the normal and tangential stresses at the film-substrate interface. If the tangential (shear) stress is too high, the adhesive bond between the film and the substrate will break. I compare the thin-film contact mechanics problem with the Gent solution for a thin elastic sheet confined between two flat solid surfaces, and discuss the origin of the difference in effective elastic modulus.
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