Prandtl-Tomlinson model: History and applications in friction, plasticity, and nanotechnologies

2012 ◽  
Vol 92 (9) ◽  
pp. 683-708 ◽  
Author(s):  
V.L. Popov ◽  
J.A.T. Gray
Keyword(s):  
Tomlinson Model

scholarly journals The description of friction of silicon MEMS with surface roughness: virtues and limitations of a stochastic Prandtl–Tomlinson model and the simulation of vibration-induced friction reduction

2010 ◽  
Vol 1 ◽  
pp. 163-171 ◽  
Author(s):  
W Merlijn van Spengen ◽  
Viviane Turq ◽  
Joost W M Frenken
Keyword(s):  
Surface Roughness ◽  
Critical Role ◽  
Measurement Data ◽  
Friction Model ◽  
Friction Reduction ◽  
Atomic Scale ◽  
Mems Devices ◽  
Tomlinson Model ◽  
Atomic Force ◽  
On Chip

We have replaced the periodic Prandtl–Tomlinson model with an atomic-scale friction model with a random roughness term describing the surface roughness of micro-electromechanical systems (MEMS) devices with sliding surfaces. This new model is shown to exhibit the same features as previously reported experimental MEMS friction loop data. The correlation function of the surface roughness is shown to play a critical role in the modelling. It is experimentally obtained by probing the sidewall surfaces of a MEMS device flipped upright in on-chip hinges with an AFM (atomic force microscope). The addition of a modulation term to the model allows us to also simulate the effect of vibration-induced friction reduction (normal-force modulation), as a function of both vibration amplitude and frequency. The results obtained agree very well with measurement data reported previously.

Atomistic Origins of Friction

2019 ◽  
pp. 348-388
Author(s):  
C. Mathew Mate ◽  
Robert W. Carpick
Keyword(s):  
Atomic Structure ◽  
Real Life ◽  
Static Friction ◽  
Electronic Excitations ◽  
Kinetic Friction ◽  
Dynamic Simulations ◽  
Tomlinson Model ◽  
Current State ◽  
Friction Models ◽  
Kontorova Model

This chapter covers the current state of knowledge about how the shear strength (the force needed to slide one surface over another) originates at the atomic level. For adhesive friction, friction originates from the forces needed to move the atoms on one surface over the atomic structure of the opposing surface; the simplest model for adhesive friction is the cobblestone model. The Frenkel–Kontorova model, the Prandtl–Tomlinson model, and molecular dynamic simulations are typically used to show how the atomic structure of the surfaces leads to static friction. One exciting aspect of these friction models is the prediction of superlubricity or negligible friction for incommensurate sliding surfaces, which is now being realized in experiments. Also discussed is why superlubricity is not observed in real-life situations. As atoms and molecules slide over surfaces, kinetic friction originates from phonon and electronic excitations, which are typically studied using the quartz crystal microbalance (QCM).

Dry friction in the Frenkel-Kontorova-Tomlinson model: Static properties

1996 ◽  
Vol 53 (11) ◽  
pp. 7539-7549 ◽  
Author(s):  
Michael Weiss ◽  
Franz-Josef Elmer
Keyword(s):  
Dry Friction ◽  
Static Properties ◽  
Tomlinson Model

scholarly journals Properties of a nonlinear bath: experiments, theory, and a stochastic Prandtl–Tomlinson model

2020 ◽  
Vol 22 (2) ◽  
pp. 023014 ◽  
Author(s):  
Boris Müller ◽  
Johannes Berner ◽  
Clemens Bechinger ◽  
Matthias Krüger
Keyword(s):  
Tomlinson Model

scholarly journals Effect of fractal disorder on static friction in the Tomlinson model

2010 ◽  
Vol 82 (4) ◽  
Author(s):  
Jon Alm Eriksen ◽  
Soumyajyoti Biswas ◽  
Bikas K. Chakrabarti
Keyword(s):  
Static Friction ◽  
Tomlinson Model

A Note on the Two-Spring Tomlinson Model

2011 ◽  
Vol 43 (1) ◽  
pp. 73-76 ◽  
Author(s):  
Pin Lu ◽  
Yee Chong Loke ◽  
Xiaosong Tang ◽  
Sunil S. Kushvaha ◽  
Sean J. O’Shea
Keyword(s):  
Tomlinson Model
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