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Micro–Macro-Shear-Displacement Behavior of Contacting Rough Solids

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Abstract

Interlocking asperities are shown to have a fundamental effect on the friction behavior of contacting solids through theoretically derived shear force–displacement relationship. The key aspect of this relationship is the asperity contact orientation probability distribution obtained using the random process theory in terms of measurable surface roughness parameters. Thus, the obliquity of surface asperity contact is included in the contact shear analysis in a fundamental manner. The interlocking asperities are found to result in a normal load-dependent friction coefficient for a contact. The interlocking also affects contact partial slip and the shear displacements that precede sliding. The derived relationship can be used to evaluate factors, such as asperity adhesion, plasticity, damage, normal-shear coupling and scale dependency, which are difficult to separate in experiments and atomistic simulations.

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Acknowledgments

The authors would like to acknowledge the support from National Natural Science Foundation of China, Grant No. 11202080 and the Fundamental Research Funds for the Central Universities, Grant No. 2012ZB0024. A.M. is also supported in part by the United States National Science Foundation grant CMMI-1068528.

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Authors and Affiliations

  1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, 510640, People’s Republic of China

    Shiping Huang

  2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116023, People’s Republic of China

    Shiping Huang

  3. Department of Civil, Environmental and Architectural Engineering, The University of Kansas, Learned Hall, 1530 W. 15th Street, Lawrence, KS, 66045-7609, USA

    Anil Misra

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  1. Shiping Huang
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Correspondence to Anil Misra.

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Huang, S., Misra, A. Micro–Macro-Shear-Displacement Behavior of Contacting Rough Solids. Tribol Lett 51, 431–436 (2013). https://doi.org/10.1007/s11249-013-0178-y

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