Statistical laws of stick-slip friction at mesoscale

Abstract Friction between two rough solid surfaces often involves local stick-slip events occurring at different locations of the contact interface. If the apparent contact area is large, multiple local slips may take place simultaneously and the total frictional force is a sum of the pinning forces...

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Main Authors: Caishan Yan, Hsuan-Yi Chen, Pik-Yin Lai, Penger Tong
Format: Article
Language:English
Published: Nature Portfolio 2023-10-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-023-41850-1
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author Caishan Yan
Hsuan-Yi Chen
Pik-Yin Lai
Penger Tong
author_facet Caishan Yan
Hsuan-Yi Chen
Pik-Yin Lai
Penger Tong
author_sort Caishan Yan
collection DOAJ
description Abstract Friction between two rough solid surfaces often involves local stick-slip events occurring at different locations of the contact interface. If the apparent contact area is large, multiple local slips may take place simultaneously and the total frictional force is a sum of the pinning forces imposed by many asperities on the interface. Here, we report a systematic study of stick-slip friction over a mesoscale contact area using a hanging-beam lateral atomic-force-microscope, which is capable of resolving frictional force fluctuations generated by individual slip events and measuring their statistical properties at the single-slip resolution. The measured probability density functions (PDFs) of the slip length δ x s , the maximal force F c needed to trigger the local slips, and the local force gradient $${k}^{{\prime} }$$ k ′ of the asperity-induced pinning force field provide a comprehensive statistical description of stick-slip friction that is often associated with the avalanche dynamics at a critical state. In particular, the measured PDF of δ x s obeys a power law distribution and the power-law exponent is explained by a new theoretical model for the under-damped spring-block motion under a Brownian-correlated pinning force field. This model provides a long-sought physical mechanism for the avalanche dynamics in stick-slip friction at mesoscale.
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spelling doaj.art-8c26fa52ed5f44828787afe2996a08162023-11-20T10:18:31ZengNature PortfolioNature Communications2041-17232023-10-011411810.1038/s41467-023-41850-1Statistical laws of stick-slip friction at mesoscaleCaishan Yan0Hsuan-Yi Chen1Pik-Yin Lai2Penger Tong3Department of Physics, Hong Kong University of Science and TechnologyDepartment of Physics and Center for Complex Systems, National Central UniversityDepartment of Physics and Center for Complex Systems, National Central UniversityDepartment of Physics, Hong Kong University of Science and TechnologyAbstract Friction between two rough solid surfaces often involves local stick-slip events occurring at different locations of the contact interface. If the apparent contact area is large, multiple local slips may take place simultaneously and the total frictional force is a sum of the pinning forces imposed by many asperities on the interface. Here, we report a systematic study of stick-slip friction over a mesoscale contact area using a hanging-beam lateral atomic-force-microscope, which is capable of resolving frictional force fluctuations generated by individual slip events and measuring their statistical properties at the single-slip resolution. The measured probability density functions (PDFs) of the slip length δ x s , the maximal force F c needed to trigger the local slips, and the local force gradient $${k}^{{\prime} }$$ k ′ of the asperity-induced pinning force field provide a comprehensive statistical description of stick-slip friction that is often associated with the avalanche dynamics at a critical state. In particular, the measured PDF of δ x s obeys a power law distribution and the power-law exponent is explained by a new theoretical model for the under-damped spring-block motion under a Brownian-correlated pinning force field. This model provides a long-sought physical mechanism for the avalanche dynamics in stick-slip friction at mesoscale.https://doi.org/10.1038/s41467-023-41850-1
spellingShingle Caishan Yan
Hsuan-Yi Chen
Pik-Yin Lai
Penger Tong
Statistical laws of stick-slip friction at mesoscale
Nature Communications
title Statistical laws of stick-slip friction at mesoscale
title_full Statistical laws of stick-slip friction at mesoscale
title_fullStr Statistical laws of stick-slip friction at mesoscale
title_full_unstemmed Statistical laws of stick-slip friction at mesoscale
title_short Statistical laws of stick-slip friction at mesoscale
title_sort statistical laws of stick slip friction at mesoscale
url https://doi.org/10.1038/s41467-023-41850-1
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AT hsuanyichen statisticallawsofstickslipfrictionatmesoscale
AT pikyinlai statisticallawsofstickslipfrictionatmesoscale
AT pengertong statisticallawsofstickslipfrictionatmesoscale