<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The study of everyday phenomena involving friction continues to maintain a high level of difficulty despite its long history. The causes of this problem lie in the different scale of the characteristics of the phenomenon, macroscopic and microscopic. Thus, very different models, valid in a narrow scope which prevents generalization, have been appearing. This survey presents the application of network simulation method to the numerical solution to the study of friction at very different scales. On the one hand, on a microscopic scale an atomic force microscope model has been studied, related to the analysis of soft surfaces at the atomic scale. Furthermore, on a macroscopic scale model related to the analysis of an industrial device, such as a brake mechanism has been studied. After presenting herein is a review of the different formulations of the friction force, the nature of the surfaces involved in the phenomenon, as well as the definition of the problems to be analyzed. The design of network models and the implementation of the initial conditions are explained. The results of the application of network models to selected problems are presented. In order to verify the reliability of the proposed models, their results are compared with the solutions obtained by other numerical methods or experimental results, one from a device developed during the preparation of this report.</p></abstract>

The study of everyday phenomena involving friction continues to maintain a high level of difficulty despite its long history. The causes of this problem lie in the different scale of the characteristics of the phenomenon, macroscopic and microscopic. Thus, very different models, valid in a narrow scope which prevents generalization, have been appearing. This survey presents the application of network simulation method to the numerical solution to the study of friction at very different scales. On the one hand, on a microscopic scale an atomic force microscope model has been studied, related to the analysis of soft surfaces at the atomic scale. Furthermore, on a macroscopic scale model related to the analysis of an industrial device, such as a brake mechanism has been studied. After presenting herein is a review of the different formulations of the friction force, the nature of the surfaces involved in the phenomenon, as well as the definition of the problems to be analyzed. The design of network models and the implementation of the initial conditions are explained. The results of the application of network models to selected problems are presented. In order to verify the reliability of the proposed models, their results are compared with the solutions obtained by other numerical methods or experimental results, one from a device developed during the preparation of this report.

Multi-scale Simulations of Dry Friction Using Network Simulation Method

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Multi-scale Simulations of Dry Friction Using Network Simulation Method"}

The study of everyday phenomena involving friction continues to maintain a high level of difficulty despite its long history. The causes of this problem lie in...

Multi-scale Simulations of Dry Friction Using Network Simulation Method

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
dry friction, stick-slip, Network Simulation Method, Atomic Force Microscope, Girling brake, Lyapunov exponents

© 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.

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Multi-scale Simulations of Dry Friction Using Network Simulation Method

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

Keywordsdry friction, stick-slip, Network Simulation Method, Atomic Force Microscope, Girling brake, Lyapunov exponents

© 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

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 10

Figure 7

Figure 8

Figure 9

Figure 11

Figure 12

Figure 13

Figure 14

Keywords
dry friction, stick-slip, Network Simulation Method, Atomic Force Microscope, Girling brake, Lyapunov exponents