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001044413 245__ $$aContact mechanics for layered materials: Rubber film on hard substrate
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001044413 520__ $$aI 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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001044413 773__ $$0PERI:(DE-600)1473050-9$$a10.1063/5.0274655$$gVol. 162, no. 21, p. 214702$$n21$$p214702$$tThe journal of chemical physics$$v162$$x0021-9606$$y2025
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