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Research Papers: Contact Mechanics

On Pastewka and Robbins' Criterion for Macroscopic Adhesion of Rough Surfaces

[+] Author and Article Information
M. Ciavarella

Department of Mechanics,
Management and Mathematics (DMMM),
Politecnico di BARI,
V.le Gentile 182,
Bari 70125, Italy
e-mail: mciava@poliba.it

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received February 15, 2016; final manuscript received July 18, 2016; published online November 30, 2016. Assoc. Editor: James R. Barber.

J. Tribol 139(3), 031404 (Nov 30, 2016) (5 pages) Paper No: TRIB-16-1057; doi: 10.1115/1.4034530 History: Received February 15, 2016; Revised July 18, 2016

Pastewka and Robbins (2014, “Contact Between Rough Surfaces and a Criterion for Macroscopic Adhesion,” Proc. Natl. Acad. Sci., 111(9), pp. 3298–3303) recently have proposed a criterion to distinguish when two surfaces will stick together or not and suggested that it shows quantitative and qualitative large conflicts with asperity theories. However, a comparison with asperity theories is not really attempted, except in pull-off data which show finite pull-off values in cases where both their own criterion and an asperity based one seem to suggest nonstickiness, and the results are in these respects inconclusive. Here, we find that their criterion corresponds very closely to an asperity model one (provided we use their very simplified form of the Derjaguin–Muller–Toporov (DMT) adhesion regime which introduces a dependence on the range of attractive forces) when bandwidth α is small, but otherwise involves a root-mean-square (RMS) amplitude of roughness reduced by a factor α. Therefore, it implies that the stickiness of any rough surface is the same as that of the surface where practically all the wavelength components of roughness are removed except the very fine ones.

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References

Pastewka, L. , and Robbins, M. O. , 2014, “ Contact Between Rough Surfaces and a Criterion for Macroscopic Adhesion,” Proc. Natl. Acad. Sci., 111(9), pp. 3298–3303. [CrossRef]
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Maugis, D. , 2000, Contact, Adhesion and Rupture of Elastic Solids, Vol. 130, Springer, New York.
Ciavarella, M. , 2016, “ On a Recent Stickiness Criterion Using a Very Simple Generalization of DMT Theory of Adhesion,” J. Adhes. Sci. Technol., 30(24), pp. 2725–2735. [CrossRef]
Johnson, K. L. , 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
Yastrebov, V. A. , Anciaux, G. , and Molinari, J. F. , 2015, “ From Infinitesimal to Full Contact Between Rough Surfaces: Evolution of the Contact Area,” Int. J. Solids Struct., 52, pp. 83–102. [CrossRef]

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