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Adhesion and friction between a smooth elastic spherical asperity and a plane surface

Johnson, K. L.·1997·Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences

Abstract

Attempts to establish the relationship between adhesion and friction at the contact of solid surfaces has been frustrated by their inevitable roughness. The recent development of nanotribology, in which a single asperity contact can be modelled in the surface force apparatus (SFA) or the atomic force microscope (AFM), has made possible the simultaneous measurement of friction and adhesion in a sliding experiment. For the case of pure adhesion, continuum mechanics models exist which assist in the interpretation of the measurements. In this paper these models are extended to include both static and sliding friction. The approach is through the concept of fracture mechanics, in which the rate of release of elastic strain energy is equated to the work done against surface forces, both frictional and adhesive. The model appears to be consistent with currently available experimental data.

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Metadata

Authors
Johnson, K. L.
Venue
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
Published
1997-01-08
Volume
453
Issue
1956
Pages
163-179
ISSN
  • 1364-5021 (ISSN-L)
  • 1471-2946
OpenAlex
W2106495701
Cited by
358
References
0
FWCI
32.86
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Adhesion and friction between a smooth elastic spherical asperity and a plane surface. https://app.cochat.ai/papers/10.1098/rspa.1997.0010
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Johnson, K. L. (1997). Adhesion and friction between a smooth elastic spherical asperity and a plane surface. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. https://doi.org/10.1098/rspa.1997.0010

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.