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.

References

1.
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
.
2.
Fuller
,
K. N. G.
, and
Tabor
,
D.
,
1975
, “
The Effect of Surface Roughness on the Adhesion of Elastic Solids
,”
Proc. R. Soc. London A
,
345
(
1642
), pp.
327
342
.
3.
Barber
,
J. R.
,
2013
, “
Multiscale Surfaces and Amontons' Law of Friction
,”
Tribol. Lett.
,
49
(3), pp.
539
543
.
4.
Greenwood
,
J. A.
,
2007
, “
A Note on Nayak's Third Paper
,”
Wear
,
262
(
1
), pp.
225
227
.
5.
Carbone
,
G.
, and
Bottiglione
,
F.
,
2008
, “
Asperity Contact Theories: Do They Predict Linearity Between Contact Area and Load?
,”
J. Mech. Phys. Solids
,
56
(
8
), pp.
2555
2572
.
6.
Afferrante
,
L.
,
Carbone
,
G.
, and
Demelio
,
G.
,
2012
, “
Interacting and Coalescing Hertzian Asperities: A New Multiasperity Contact Model
,”
Wear
,
278–279
, pp.
28
33
.
7.
Maugis
,
D.
,
2000
,
Contact, Adhesion and Rupture of Elastic Solids
, Vol.
130
,
Springer
,
New York
.
8.
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
.
9.
Johnson
,
K. L.
,
1985
,
Contact Mechanics
,
Cambridge University Press
, Cambridge, UK.
10.
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
.
You do not currently have access to this content.