2014
DOI: 10.1063/1.4895789
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Theory of adhesion: Role of surface roughness

Abstract: We discuss how surface roughness influence the adhesion between elastic solids. We introduce a Tabor number which depends on the length scale or magnification, and which gives information about the nature of the adhesion at different length scales. We consider two limiting cases relevant for (a) elastically hard solids with weak adhesive interaction (DMT-limit) and (b) elastically soft solids or strong adhesive interaction (JKR-limit). For the former cases we study the nature of the adhesion using different ad… Show more

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Cited by 192 publications
(147 citation statements)
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References 53 publications
(75 reference statements)
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“…The real contact area is another important parameter that can be modulated to tune the adhesion between two surfaces [34]. A nice example at nano/microscale has been given by S. Casado [5], who shows how the modulation of roughness and adhesion of two different violin bow hairs observed at nanoscale by AFM, may cause strong consequences at mascoscopic scale during the stick–slip phenomenon of the rubbing hairs surfaces and in fine such different acoustic outputs.…”
Section: Introductionmentioning
confidence: 99%
“…The real contact area is another important parameter that can be modulated to tune the adhesion between two surfaces [34]. A nice example at nano/microscale has been given by S. Casado [5], who shows how the modulation of roughness and adhesion of two different violin bow hairs observed at nanoscale by AFM, may cause strong consequences at mascoscopic scale during the stick–slip phenomenon of the rubbing hairs surfaces and in fine such different acoustic outputs.…”
Section: Introductionmentioning
confidence: 99%
“…For soft elastic solids when an adhesive interaction occur between the solids as in the case studied in this paper, the area of real contact will also increase in which case (3) with κ ≈ 2 is no longer accurate. In this case one must distinguish between two cases [24][25][26]: (a) If the adhesive interaction is not too strong, (3) is still approximately valid, but κ is larger than 2. In this case, if adhesion hysteresis is negligible, no adhesion will be observed in a pull-off experiment.…”
Section: System C20mentioning
confidence: 99%
“…They demonstrated that the JKR -rigid transition seems to occur depending on the original Tabor parameter (2.2) for the sphere, rather than the 'local' one E* ¼ 1.5 MPa, we obtain m ≃ 28s 0 /E* which is quite likely now larger than 1 and therefore justifies some enhancement, also in accord to the figures reported in Waters et al [17] for the rough sphere. In the literature, there have been attempts to define a 'scale-dependent' Tabor parameter [18], so that at high magnification, where nanoscale roughness is observed involving asperities which may have radius of curvature in the nm range, Tabor parameter tends to decrease: but the Persson & Scaraggi [18] definition is not of immediate use, and the experiments of Akerboom et al [3] seem to suggest a useful information about the way Tabor parameter should be defined for nanopatterned surfaces against spherical probes.…”
Section: Discussionmentioning
confidence: 99%