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Multi-scale Simulations of Dry Friction Using Network Simulation Method

F. Marín

F. Marín

Departamento de Ingeniería Eléctrica, Universidad Politécnica de CartagenaCartagena, Spain
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Marín, F.
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F. Alhama

F. Alhama

Departamento de Física Aplicada, Universidad Politécnica de CartagenaCartagena, Spain
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Alhama, F.
, 
J. Solano

J. Solano

Institut für Fertigungstechnologie keramischer Bauteile, Universität StuttgartStuttgart, Germany
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Solano, J.
, 
P.A. Meroño

P.A. Meroño

Departamento de Ingeniería Mecánica, Universidad Politécnica de CartagenaCartagena, Spain
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Meroño, P.A.
 and 
J.F. Sánchez

J.F. Sánchez

Departamento de Física Aplicada, Universidad Politécnica de CartagenaCartagena, Spain
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Sánchez, J.F.
  
Nov 23, 2016
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Published Online: Nov 23, 2016
Page range: 559 - 580
Received: Mar 07, 2016
Accepted: Nov 23, 2016
DOI: https://doi.org/10.21042/AMNS.2016.2.00044
Keywords
© 2016 F. Marín, F. Alhama, J. Solano, P.A. Meroño and J.F. Sánchez., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Figure 1

Model of AFM, FFM adn AFM tip
Model of AFM, FFM adn AFM tip

Figure 2

Drawing of a ‘duo-servo’ Girling brake
Drawing of a ‘duo-servo’ Girling brake

Figure 3

The scheme of the mechanism represented in Fig. 2
The scheme of the mechanism represented in Fig. 2

Figure 4

Network model, in x and y directions, of FFM on NaF and SFM on HOPG. a) and d) Main circuits, b) and e) auxiliary circuits to obtain xt andyt, and c) auxiliary circuit to obtain the time.
Network model, in x and y directions, of FFM on NaF and SFM on HOPG. a) and d) Main circuits, b) and e) auxiliary circuits to obtain xt andyt, and c) auxiliary circuit to obtain the time.

Figure 5

Network model, in x direction, of AFM on graphite. a) Main circuit, b) auxiliary circuit to obtain the force from Lennard-Jones potential, c) auxiliary circuit to obtain xt, d) auxiliary circuit to obtain the time, and e) auxiliary circuit to obtain the square of the distance between the AFM tip and the carbon atom.
Network model, in x direction, of AFM on graphite. a) Main circuit, b) auxiliary circuit to obtain the force from Lennard-Jones potential, c) auxiliary circuit to obtain xt, d) auxiliary circuit to obtain the time, and e) auxiliary circuit to obtain the square of the distance between the AFM tip and the carbon atom.

Figure 6

Network model. a) and g) Main circuits, b) and h) auxiliary circuits to get x and y, c) auxiliary circuit which control switches, d) auxiliary circuit which controls the transition between stick and slip phases, and e) and f) auxiliary circuits to obtain E2
Network model. a) and g) Main circuits, b) and h) auxiliary circuits to get x and y, c) auxiliary circuit which control switches, d) auxiliary circuit which controls the transition between stick and slip phases, and e) and f) auxiliary circuits to obtain E2

Figure 10

Decision algorithm used to control the switches.
Decision algorithm used to control the switches.

Figure 7

a) Position of the atoms in the NaF crystal net; b) Elastic force in the tip: Fx in the left hand side and Fy in the right hand side.
a) Position of the atoms in the NaF crystal net; b) Elastic force in the tip: Fx in the left hand side and Fy in the right hand side.

Figure 8

a) Position of the atoms in the HOPG crystal net; b) Elastic force in the tip: Fx in the left hand side and Fy in the right hand side.
a) Position of the atoms in the HOPG crystal net; b) Elastic force in the tip: Fx in the left hand side and Fy in the right hand side.

Figure 9

a) Position of the atoms in the HOPG crystal net; b) Elastic force in the tip, Fx.
a) Position of the atoms in the HOPG crystal net; b) Elastic force in the tip, Fx.

Figure 11

Mechanism.
Mechanism.

Figure 12

Phase plane: v′dr = −0.002788m; ξ = 0.412;κ = 1.5.
Phase plane: v′dr = −0.002788m; ξ = 0.412;κ = 1.5.

Figure 13

Frequency spectrum of X1: v′dr = −0.002788m; ξ = 0.412; κ = 1.5.
Frequency spectrum of X1: v′dr = −0.002788m; ξ = 0.412; κ = 1.5.

Figure 14

Poincaré map: v′dr = −0.002788m; ξ = 0.412; κ = 1.5.
Poincaré map: v′dr = −0.002788m; ξ = 0.412; κ = 1.5.
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