A method is proposed to account for asperity interaction and bulk substrate deformation in models that utilize statistical summation of asperity forces to characterize contact between rough surfaces. Interaction deformations of noncontacting asperities are calculated based on the probability that they have taller neighbors in their vicinity, whose deformation upon contact, in turn, induces local substrate deformations. The effect of the order of interaction on the total contact force is explored and a limit is proposed based on asperity density. The updated contact force accounting for asperity interaction is found to tend to a constant fraction of the nominal contact force at the mathematical limit of asperity contact independent of the order of interaction, roughness, or material properties. For contact in the vicinity of zero mean plane separation, rough surfaces are found to exhibit greater asperity interaction resulting in reduced contact forces. A simplified curve-fitted expression is introduced that can be used to account for asperity interaction by adjusting the nominal contact force predicted by other models.
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University of Groningen,
Nijenborgh 4,
e-mail: a.vakis@rug.nl
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April 2014
Research-Article
Asperity Interaction and Substrate Deformation in Statistical Summation Models of Contact Between Rough Surfaces
Antonis I. Vakis
University of Groningen,
Nijenborgh 4,
e-mail: a.vakis@rug.nl
Antonis I. Vakis
Faculty of Mathematics and Natural Sciences
,University of Groningen,
Nijenborgh 4,
Groningen 9747 AG,
Netherlands
e-mail: a.vakis@rug.nl
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Antonis I. Vakis
Faculty of Mathematics and Natural Sciences
,University of Groningen,
Nijenborgh 4,
Groningen 9747 AG,
Netherlands
e-mail: a.vakis@rug.nl
Manuscript received June 25, 2013; final manuscript received September 6, 2013; accepted manuscript posted September 12, 2013; published online October 16, 2013. Assoc. Editor: Anand Jagota.
J. Appl. Mech. Apr 2014, 81(4): 041012 (10 pages)
Published Online: October 16, 2013
Article history
Received:
June 25, 2013
Revision Received:
September 6, 2013
Accepted:
September 12, 2013
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Citation
Vakis, A. I. (October 16, 2013). "Asperity Interaction and Substrate Deformation in Statistical Summation Models of Contact Between Rough Surfaces." ASME. J. Appl. Mech. April 2014; 81(4): 041012. https://doi.org/10.1115/1.4025413
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