A note on the pull-off force for a pattern of contacts distributed over a halfspace

We consider a series of flat contact spots distributed over a half-space, for which the pull-off force is proportional to the square root of the total contact area over the elastic compliance. By using an electro-mechanical analogy to compute the compliance using the well-known Greenwood–Holm equati...

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Bibliographic Details
Published inMeccanica (Milan) Vol. 52; no. 11-12; pp. 2865 - 2871
Main Authors Papangelo, A., Afferrante, L., Ciavarella, M.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.09.2017
Springer Nature B.V
Subjects
Automotive Engineering
Bearings
Civil Engineering
Classical Mechanics
Fractals
Half spaces
Mechanical Engineering
Modulus of elasticity
Physics
Physics and Astronomy
Scaling laws
Spots
Stress concentration
Pull-off force
Contact pattern
Halfspace
Adhesion
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Summary:We consider a series of flat contact spots distributed over a half-space, for which the pull-off force is proportional to the square root of the total contact area over the elastic compliance. By using an electro-mechanical analogy to compute the compliance using the well-known Greenwood–Holm equation, we show how the pull-off decays for fractal patterns of contact spots with simple scaling laws, tending to zero in a fractal limit, as the contact area goes to zero. Moreover, a qualitative assessment is made for contact of fractal rough surfaces, and it is shown that pull-off in this case is dominated by the value of the contact area reached during the loading process, which depends on the applied load, suggesting pressure-sensitive adhesion.
ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-017-0650-0