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Friction model for the velocity dependence of nanoscale friction

Nikhil S Tambe and Bharat Bhushan1

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The velocity dependence of nanoscale friction is studied for the first time over a wide range of velocities between 1 µm s−1 and 10 mm s−1 on large scan lengths of 2 and 25 µm. High sliding velocities are achieved by modifying an existing commercial atomic force microscope (AFM) setup with a custom calibrated nanopositioning piezo stage. The friction and adhesive force dependences on velocity are studied on four different sample surfaces, namely dry (unlubricated), hydrophilic Si(100); dry, partially hydrophobic diamond-like carbon (DLC); a partially hydrophobic self-assembled monolayer (SAM) of hexadecanethiol (HDT); and liquid perfluoropolyether lubricant, Z-15. The friction force values are seen to reverse beyond a certain critical velocity for all the sample surfaces studied. A comprehensive friction model is developed to explain the velocity dependence of nanoscale friction, taking into consideration the contributions of adhesion at the tip–sample interface, high impact velocity-related deformation at the contacting asperities and atomic scale stick–slip. A molecular spring model is used for explaining the velocity dependence of friction force for HDT.


PACS

62.25.-g Mechanical properties of nanoscale systems

81.40.Pq Friction, lubrication, and wear

68.37.Ps Atomic force microscopy (AFM)

62.20.F- Deformation and plasticity

62.20.Qp Friction, tribology, and hardness

81.40.Lm Deformation, plasticity, and creep

Subjects

Surfaces, interfaces and thin films

Condensed matter: structural, mechanical & thermal

Nanoscale science and low-D systems

Dates

Issue 10 (October 2005)

Received 18 May 2005

Published 26 August 2005



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