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Nonlinear model of nanocontact friction in atomic force microscopy
Rekhviashvili S.Sh.1
1Institute of Applied Mathematics and Automatization, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, Nalchik, Russia
Email: rsergo@mail.ru

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The paper proposes an analytical model for the AFM spherical tip friction against a solid surface, which accounts for the formation of a deformable finitethickness interlayer in the contact region. The interlayer's mechanical response is described by a generalized Hooke's law. A power-law friction force dependence on the normal load is obtained; the exponent is determined by nonlinearity of the contact-region mechanical response. The model demonstrates a good agreement with experimental data and explains the wide-range variations in the exponent. Keywords: nanotribology, nanocontact, nonlinear elasticity, friction force, power law, atomic force microscopy.
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