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- W3048787596 abstract "Friction is a complex phenomenon that involves interaction between microsized asperitieson the surfaces of two bodies in contact. Friction force microscopy allows investigatingfriction forces that arise at the level of a single asperity, which is the tip of an atomicforce microscope (AFM). In this thesis, the Prandtl-Tomlinson model of single-asperityfriction is developed that fully incorporates the three-dimensional character of theproblem. An algorithm is derived that allows integrating the resulting equations ofmotion. Special care is taken to select the model parameters close to the values that canbe deduced from the experimental results published in the literature. The effect ofperiodic actuation of the AFM cantilever on the resulting friction forces is studied withinthis model. Three actuation modes are considered: transverse, normal, and lateral.Transverse actuation has no effect whatsoever on the friction force, whereas the effect ofnormal actuation is somewhat weaker than the effect of lateral actuation. Due to the finitemass of the cantilever, its motion may proceed in many different regimes which dependon the actuation amplitude and frequency. Hence, the dependence of friction force onactuation frequency at fixed amplitude and on the actuation amplitude at fixed frequencyis obtained numerically. Both dependences are not simple and consist of a series ofirregular peaks. Those peaks are more pronounced at zero temperature than at roomtemperature. Finally, the limitations of the model are discussed. It is suggested that twoeffects must be incorporated into the model in order to provide a more realistic picture ofthe nanoscale friction: the finite elasticity of the apex of the cantilever tip and the aging ofthe tip-sample contact." @default.
- W3048787596 created "2020-08-18" @default.
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- W3048787596 date "2019-05-01" @default.
- W3048787596 modified "2023-09-23" @default.
- W3048787596 title "Three-dimensional Prandtl-Tomlinson model of nanoscale friction" @default.
- W3048787596 hasPublicationYear "2019" @default.
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