<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Fractals and chaos theory provide means of modeling dynamic changes in micro and nano topography on friction surfaces caused by various tribological mechanisms and processes. Friction and wear phenomena in tribological systems can be interpreted on a macroscopic scale. With the development of miniaturized scale and nanoscale systems, it has been launched the hypothesis that macro-level systems cannot reflect the microscale and nanoscale phenomena. A conclusive case is given by the calculation of frictional torque in microscale orientation, in this situation being found that models created by bearing producers cannot validate experimental results. By applying the “box-counting” method, it is possible to estimate the fractal dimension both directly and indirectly by comparing the area-perimeter-scale relations. Based on scaling equations, a system was created for this operation. The conclusion is that all existing theories in tribology should be adapted to take into account fractal size and fractal roughness.</p>
</abstract>

Fractals and chaos theory provide means of modeling dynamic changes in micro and nano topography on friction surfaces caused by various tribological mechanisms and processes. Friction and wear phenomena in tribological systems can be interpreted on a macroscopic scale. With the development of miniaturized scale and nanoscale systems, it has been launched the hypothesis that macro-level systems cannot reflect the microscale and nanoscale phenomena. A conclusive case is given by the calculation of frictional torque in microscale orientation, in this situation being found that models created by bearing producers cannot validate experimental results. By applying the “box-counting” method, it is possible to estimate the fractal dimension both directly and indirectly by comparing the area-perimeter-scale relations. Based on scaling equations, a system was created for this operation. The conclusion is that all existing theories in tribology should be adapted to take into account fractal size and fractal roughness.

A Review on Treating Tribological Problems with Fractals

“Gheorghe Asachi” Technical University of Iași

Bulletin of the Polytechnic Institute of Iași. Machine constructions Section

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A Review on Treating Tribological Problems with Fractals"}

Fractals and chaos theory provide means of modeling dynamic changes in micro and nano topography on friction surfaces caused by various tribological mechanisms...

A Review on Treating Tribological Problems with Fractals

Published Online: Jul 28, 2022

Page range: 61 - 71

Received: Jun 07, 2022

Accepted: Jun 27, 2022

DOI: https://doi.org/10.2478/bipcm-2022-0015

Keywords
chaos theory, microscale, nanoscale, fractal dimension, fractal roughness

© 2022 Alexandru Lăpuşteanu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A Review on Treating Tribological Problems with Fractals

Published Online: Jul 28, 2022

Page range: 61 - 71

Received: Jun 07, 2022

Accepted: Jun 27, 2022

DOI: https://doi.org/10.2478/bipcm-2022-0015

Keywordschaos theory, microscale, nanoscale, fractal dimension, fractal roughness

© 2022 Alexandru Lăpuşteanu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
chaos theory, microscale, nanoscale, fractal dimension, fractal roughness