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Collective behavior of viscoelastic asperities as a model for static and kinetic friction

Hulikal, Srivatsan and Bhattacharya, Kaushik and Lapusta, Nadia (2015) Collective behavior of viscoelastic asperities as a model for static and kinetic friction. Journal of the Mechanics and Physics of Solids, 76 . pp. 144-161. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20140603-102932593

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Abstract

We propose a statistical model for static and sliding friction between rough surfaces. Approximating the contact between rough surfaces by the contact of an ensemble of one-dimensional viscoelastic elements with a rough rigid surface, we study the collective behavior of the elements. We find that collective response of the contacts can lead to macroscopic behavior very different from the microscopic behavior. Specifically, various observed features of friction emerge as collective phenomena, without postulating them directly at the microscale. We discuss how parameters in our model can be related to material and surface properties of the contacting surfaces. We compare our results to commonly used rate and state phenomenological models, and propose a new interpretation of the state variable.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.jmps.2014.10.008 DOIArticle
http://www.sciencedirect.com/science/article/pii/S0022509614002063PublisherArticle
http://arxiv.org/abs/1405.3643arXivDiscussion Paper
ORCID:
AuthorORCID
Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:© 2014 Elsevier Ltd. Received 23 March 2014; Received in revised form 29 August 2014; Accepted 14 October 2014; Available online 3 December 2014. We gratefully acknowledge the support for this study from the National Science Foundation (grant EAR 1142183) and the Terrestrial Hazards Observations and Reporting center (THOR) at Caltech. We are grateful to Jim Barber and Houman Owhadi for fruitful discussions. S.H. thanks Prof. Ronald Fox and Jeff Amelang for their help.
Funders:
Funding AgencyGrant Number
NSFEAR 1142183
Caltech Terrestrial Hazards Observations and Reporting center (THOR)UNSPECIFIED
Record Number:CaltechAUTHORS:20140603-102932593
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140603-102932593
Official Citation:Srivatsan Hulikal, Kaushik Bhattacharya, Nadia Lapusta, Collective behavior of viscoelastic asperities as a model for static and kinetic friction, Journal of the Mechanics and Physics of Solids, Volume 76, March 2015, Pages 144-161, ISSN 0022-5096, http://dx.doi.org/10.1016/j.jmps.2014.10.008. (http://www.sciencedirect.com/science/article/pii/S0022509614002063)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:46046
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:03 Jun 2014 17:57
Last Modified:03 Apr 2015 19:57

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