THE “SPORT” OF ROUGH CONTACTS AND THE FRACTAL PARADOX IN WEAR LAWS

In a recent paper in Science, namely, “The Contact Sport of Rough Surfaces”, Carpick summarizes recent efforts in a “contact challenge” to predict in detail an elastic contact between the mathematically defined fractal rough surfaces under (very little) adhesion. He also suggests the next steps that...

Full description

Bibliographic Details
Main Authors: Michele Ciavarella, Antonio Papangelo
Format: Article
Language:English
Published: University of Niš 2018-02-01
Series:Facta Universitatis. Series: Mechanical Engineering
Online Access:http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/3555
_version_ 1819076221457137664
author Michele Ciavarella
Antonio Papangelo
author_facet Michele Ciavarella
Antonio Papangelo
author_sort Michele Ciavarella
collection DOAJ
description In a recent paper in Science, namely, “The Contact Sport of Rough Surfaces”, Carpick summarizes recent efforts in a “contact challenge” to predict in detail an elastic contact between the mathematically defined fractal rough surfaces under (very little) adhesion. He also suggests the next steps that are needed to “fulfill da Vinci’s dream of understanding what causes friction”. However, this is disappointing as friction has been studied since the times of Leonardo and in 500 years, no predictive model has emerged, nor any significant improvement from rough contact models. Similarly, a very large effort we have spent on the “sport” of studying rough surfaces has not made us any closer to being able to predict the coefficient of proportionality between wear loss and friction dissipation which was already observed by Reye in 1860. Recent nice simulations by Aghababaei, Warner and Molinari have confirmed the criterion for the formation of debris of a single particle, proposed in 1958 by Rabinowicz, as well as Reye’s assumption for the proportionality with frictional loss, which is very close to Archard anyway. More recent investigations under variable loads suggest that Reye’s assumption is probably much more general than Archard’s law. The attempts to obtain exact coefficients with rough surfaces models are very far from predictive, essentially because for fractals most authors fail to recognize that resolution-dependence of the contact area makes the models very ill-defined. We also suggest that in the models of wear, rough contacts should be considered “plastic” and “adhesive” and introduce a new length scale in the problem.
first_indexed 2024-12-21T18:37:51Z
format Article
id doaj.art-5e9bfe58779d4de19a4e250d7a7520ba
institution Directory Open Access Journal
issn 0354-2025
2335-0164
language English
last_indexed 2024-12-21T18:37:51Z
publishDate 2018-02-01
publisher University of Niš
record_format Article
series Facta Universitatis. Series: Mechanical Engineering
spelling doaj.art-5e9bfe58779d4de19a4e250d7a7520ba2022-12-21T18:54:06ZengUniversity of NišFacta Universitatis. Series: Mechanical Engineering0354-20252335-01642018-02-01161657510.22190/FUME180109011C1689THE “SPORT” OF ROUGH CONTACTS AND THE FRACTAL PARADOX IN WEAR LAWSMichele Ciavarella0Antonio Papangelo1Polytechnic University of BariPolitecnico di BARIIn a recent paper in Science, namely, “The Contact Sport of Rough Surfaces”, Carpick summarizes recent efforts in a “contact challenge” to predict in detail an elastic contact between the mathematically defined fractal rough surfaces under (very little) adhesion. He also suggests the next steps that are needed to “fulfill da Vinci’s dream of understanding what causes friction”. However, this is disappointing as friction has been studied since the times of Leonardo and in 500 years, no predictive model has emerged, nor any significant improvement from rough contact models. Similarly, a very large effort we have spent on the “sport” of studying rough surfaces has not made us any closer to being able to predict the coefficient of proportionality between wear loss and friction dissipation which was already observed by Reye in 1860. Recent nice simulations by Aghababaei, Warner and Molinari have confirmed the criterion for the formation of debris of a single particle, proposed in 1958 by Rabinowicz, as well as Reye’s assumption for the proportionality with frictional loss, which is very close to Archard anyway. More recent investigations under variable loads suggest that Reye’s assumption is probably much more general than Archard’s law. The attempts to obtain exact coefficients with rough surfaces models are very far from predictive, essentially because for fractals most authors fail to recognize that resolution-dependence of the contact area makes the models very ill-defined. We also suggest that in the models of wear, rough contacts should be considered “plastic” and “adhesive” and introduce a new length scale in the problem.http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/3555
spellingShingle Michele Ciavarella
Antonio Papangelo
THE “SPORT” OF ROUGH CONTACTS AND THE FRACTAL PARADOX IN WEAR LAWS
Facta Universitatis. Series: Mechanical Engineering
title THE “SPORT” OF ROUGH CONTACTS AND THE FRACTAL PARADOX IN WEAR LAWS
title_full THE “SPORT” OF ROUGH CONTACTS AND THE FRACTAL PARADOX IN WEAR LAWS
title_fullStr THE “SPORT” OF ROUGH CONTACTS AND THE FRACTAL PARADOX IN WEAR LAWS
title_full_unstemmed THE “SPORT” OF ROUGH CONTACTS AND THE FRACTAL PARADOX IN WEAR LAWS
title_short THE “SPORT” OF ROUGH CONTACTS AND THE FRACTAL PARADOX IN WEAR LAWS
title_sort sport of rough contacts and the fractal paradox in wear laws
url http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/3555
work_keys_str_mv AT micheleciavarella thesportofroughcontactsandthefractalparadoxinwearlaws
AT antoniopapangelo thesportofroughcontactsandthefractalparadoxinwearlaws
AT micheleciavarella sportofroughcontactsandthefractalparadoxinwearlaws
AT antoniopapangelo sportofroughcontactsandthefractalparadoxinwearlaws