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Meccanica

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11.03.2017

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

verfasst von: A. Papangelo, L. Afferrante, M. Ciavarella

Erschienen in: Meccanica | Ausgabe 11-12/2017

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Abstract

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.

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Notice that the 1D random surface may well enhance adhesion and hysteresis as per the Guduru effect. A fully 2D random rough surface may show a qualitatively different behaviour, but such simulations are not available to date.

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Titel: A note on the pull-off force for a pattern of contacts distributed over a halfspace
verfasst von: A. Papangelo
L. Afferrante
M. Ciavarella
Publikationsdatum: 11.03.2017
Verlag: Springer Netherlands
Erschienen in: Meccanica / Ausgabe 11-12/2017
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI: https://doi.org/10.1007/s11012-017-0650-0

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