Loading-unloading hysteresis loop of randomly rough adhesive contacts

Carbone, Giuseppe; Pierro, Elena; Recchia, Giuseppina

doi:10.1103/physreve.92.062404

Cited by 40 publications

(21 citation statements)

References 41 publications

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“…In particular, it has been suggested that stretching of polymer chains before breaking the polymer-substrate bond could enhance the work of adhesion during pull-off [19,41,42]. Similarly, for surfaces with roughness, local elastic instabilities can enhance the work of adhesion during pull-off [43][44][45][46][47]. However, the analysis above shows that at least for the present system the main (nonadiabatic) enhancement of the work of adhesion result from the viscoelastic contribution.…”

mentioning

confidence: 66%

Role of Preload in Adhesion of Rough Surfaces

et al. 2017

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Adhesion between glass and bromobutyl and polydimethylsiloxane elastomers is investigated. We show that viscoelastic energy dissipation close to the opening (or closing) crack tip, and surface roughness, strongly affect the work of adhesion. We observe strong adhesion hysteresis and we show, in contrast to the Johnson-Kendall-Roberts theory prediction for elastic solids, that this results in a pull-off force, and effective work of adhesion to be dependent on the maximum loading force.

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confidence: 66%

Role of Preload in Adhesion of Rough Surfaces

et al. 2017

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“…In a later paper [50], Persson adapted his adhesionless contact theory by modifying the boundary condition at zero traction to include a scale-dependent finite detachment stress [the meaning of this stress is not very clear, and seems related to a "remote" stress rather than a local one: clearly, in a JKR model, infinite negative stresses should be allowed]. The predictions of these theories show both qualitative and quantitative discrepancies relative to numerical solutions, even when the latter are based on the JKR assumptions [55,56].…”

Section: Jkr Modelsmentioning

confidence: 99%

“…In general, both DMT and JKR solutions (including numerical solutions e.g. [55,56]) for the contact of randomly rough surfaces should be regarded with some caution, not to say skepticism, since the appropriateness of these approximations depends on parameters which are often not well characterized, such as the smallest width of a representative contact area. At present there is no well-defined 'map' of the regions of rough-surface parameter space in which these theories might reasonably be applied, not least because numerical solutions are computationally demanding and hence necessarily limited in scope.…”

Section: Tabor Parameter For Multiscale Surfacesmentioning

confidence: 99%

The role of adhesion in contact mechanics

Ciavarella

Joe

Papangelo

et al. 2019

J. R. Soc. Interface.

140

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Adhesive (e.g. van der Waals) forces were not generally taken into account in contact mechanics until 1971, when Johnson, Kendall and Roberts (JKR) generalized Hertz’ solution for an elastic sphere using an energetic argument which we now recognize to be analogous to that used in linear elastic fracture mechanics. A significant result is that the load–displacement relation exhibits instabilities in which approaching bodies ‘jump in’ to contact, whereas separated bodies ‘jump out’ at a tensile ‘pull-off force’. The JKR approach has since been widely used in other geometries, but at small length scales or for stiffer materials it is found to be less accurate. In conformal contact problems, other instabilities can occur, characterized by the development of regular patterns of regions of large and small traction. All these instabilities result in differences between loading and unloading curves and consequent hysteretic energy losses. Adhesive contact mechanics has become increasingly important in recent years with the focus on soft materials (which generally permit larger areas of the interacting surfaces to come within the range of adhesive forces), nano-devices and the analysis of bio-systems. Applications are found in nature, such as insect attachment forces, in nano-manufacturing, and more generally in industrial systems involving rubber or polymer contacts. In this paper, we review the strengths and limitations of various methods for analysing contact problems involving adhesive tractions, with particular reference to the effect of the inevitable roughness of the contacting surfaces.

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“…The role of roughness is not yet completely understood. Several theoretical [35][36][37], numerical [24,[38][39][40] and experimental [41][42][43][44] studies have shown that high surface roughness reduces interfacial adhesion. However, some insects, like geckos, are able to achieve extremely high adhesive performance also on rough substrates.…”

Section: Introductionmentioning

confidence: 99%

The multiple V-shaped double peeling of elastic thin films from elastic soft substrates

Menga

Afferrante

Pugno

et al. 2018

Journal of the Mechanics and Physics of Solids

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In this paper, a periodic configuration of V-shaped double peeling process is investigated. Specifically, an elastic thin film is detached from a soft elastic material by applying multiple concentrated loads periodically distributed with spatial periodicity λ. The original Kendall's idea is extended to take into account the change in elastic energy occurring in the substrate when the detachment fronts propagate. The symmetric configuration typical of a V-peeling process causes the energy release rate to be sensitive to the variations of elastic energy stored in the soft substrate. This results in an enhancement of the adhesion strength, because part of the external work required to trigger the peeling mechanism is converted in substrate elastic energy. A key role is played by both spatial periodicity λ and elasticity ratio E/E h , between tape and substrate elastic moduli, in determining the conditions of stable adhesion. Indeed, the presence of multiple peeling fronts determines a modification of the mechanism of interaction, because deformations close to each peeling front are also affected by the stresses related to the other fronts. Results show that the energy release rate depends on the detached length of the tape so that conditions can be established which lead to an increase of the supported load compared to the classical peeling on rigid substrates. Finally, we also find that for any given value of the load per unit length, an optimum value of the wavelength λ exists that maximizes the tolerance of the system, before unstable propagation of the peeling front can occur.

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Loading-unloading hysteresis loop of randomly rough adhesive contacts

Cited by 40 publications

References 41 publications

Role of Preload in Adhesion of Rough Surfaces

Role of Preload in Adhesion of Rough Surfaces

The role of adhesion in contact mechanics

The multiple V-shaped double peeling of elastic thin films from elastic soft substrates

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