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Static and sliding contact of rough surfaces: effect of asperity-scale properties and long-range elastic interactions

Hulikal, Srivatsan and Lapusta, Nadia and Bhattacharya, Kaushik (2018) Static and sliding contact of rough surfaces: effect of asperity-scale properties and long-range elastic interactions. Journal of the Mechanics and Physics of Solids, 116 . pp. 217-238. ISSN 0022-5096.

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Friction in static and sliding contact of rough surfaces is important in numerous physical phenomena. We seek to understand macroscopically observed static and sliding contact behavior as the collective response of a large number of microscopic asperities. To that end, we build on Hulikal et al. (2015) and develop an efficient numerical framework that can be used to investigate how the macroscopic response of multiple frictional contacts depends on long-range elastic interactions, different constitutive assumptions about the deforming contacts and their local shear resistance, and surface roughness. We approximate the contact between two rough surfaces as that between a regular array of discrete deformable elements attached to a elastic block and a rigid rough surface. The deformable elements are viscoelastic or elasto/viscoplastic with a range of relaxation times, and the elastic interaction between contacts is long-range. We find that the model reproduces the main macroscopic features of evolution of contact and friction for a range of constitutive models of the elements, suggesting that macroscopic frictional response is robust with respect to the microscopic behavior. Viscoelasticity/viscoplasticity contributes to the increase of friction with contact time and leads to a subtle history dependence. Interestingly, long-range elastic interactions only change the results quantitatively compared to the meanfield response. The developed numerical framework can be used to study how specific observed macroscopic behavior depends on the microscale assumptions. For example, we find that sustained increase in the static friction coefficient during long hold times suggests viscoelastic response of the underlying material with multiple relaxation time scales. We also find that the experimentally observed proportionality of the direct effect in velocity jump experiments to the logarithm of the velocity jump points to a complex material-dependent shear resistance at the microscale.

Item Type:Article
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URLURL TypeDescription
Lapusta, Nadia0000-0001-6558-0323
Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:© 2018 Elsevier Ltd. Received 23 January 2018, Revised 22 March 2018, Accepted 28 March 2018, Available online 31 March 2018. 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.
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Terrestrial Hazards Observations and Reporting Center (THOR)UNSPECIFIED
Record Number:CaltechAUTHORS:20180402-100646598
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Official Citation:Srivatsan Hulikal, Nadia Lapusta, Kaushik Bhattacharya, Static and sliding contact of rough surfaces: Effect of asperity-scale properties and long-range elastic interactions, Journal of the Mechanics and Physics of Solids, Volume 116, 2018, Pages 217-238, ISSN 0022-5096, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85558
Deposited By: Tony Diaz
Deposited On:02 Apr 2018 17:15
Last Modified:24 Apr 2018 15:46

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