Modeling the Adhesive Contact of Rough Soft Media with an Advanced Asperity Model

Violano, Guido; Afferrante, L.

doi:10.1007/s11249-019-1232-1

Cited by 26 publications

(11 citation statements)

References 37 publications

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“…The proposed solution could be exploited in multiasperity models (see, e.g., Afferrante et al, 2012Afferrante et al, , 2018Violano and Afferrante, 2019b;Violano et al, 2020b) to take into account dissipation effects occurring during the detachment of rigid spheres from soft rough substrates.…”

Section: Discussionmentioning

confidence: 99%

A JKR-Like Solution for Viscoelastic Adhesive Contacts

2021

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A closed-form solution for the adhesive contact of soft spheres of linear elastic material is available since 1971 thanks to the work of Johnson, Kendall, and Roberts (JKR). A similar solution for viscoelastic spheres is still missing, though semi-analytical and numerical models are available today. In this note, we propose a closed-form analytical solution, based on JKR theory, for the detachment of a rigid sphere from a viscoelastic substrate. The solution returns the applied load and contact penetration as functions of the contact radius and correctly captures the velocity-dependent nature of the viscoelastic pull-off. Moreover, a simple approach is provided to estimate the stick time, i.e., the delay between the time the sphere starts raising from the substrate and the time the contact radius starts reducing. A simple formula is also suggested for the viscoelastic pull-off force. Finally, a comparison with experimental and numerical data is shown.

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Section: Discussionmentioning

confidence: 99%

A JKR-Like Solution for Viscoelastic Adhesive Contacts

2021

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“…Asperities are collocated with a non-overlapping constraint. For the considered surface density, each contacting asperity behaves as an isolated spherical punch and lateral interactions can be neglected (Yashima et al, 2015;Acito et al, 2019). We stress that such assumption is no longer valid when roughness on several length scales is considered like in the case of self-affine fractal geometries (Afferrante et al, 2018;Violano and Afferrante, 2019b,c).…”

Section: Experiments On Rough Samplesmentioning

confidence: 99%

“…In this work, we present an experimental investigation of dissipative effects involved in the adhesion between a smooth spherical glass probe and a viscoelastic silicone substrate patterned with a prescribed height distribution of micrometer sized spherical asperities. Taking advantage from the fact that the size of these micro-asperities (radius of 100 μm) allows for an optical measurement of the space distribution of microcontact areas, such patterned surfaces obtained from micro-milling techniques were successfully used to probe the elastic interactions between micro-asperity contacts (Yashima et al, 2015) or to investigate adhesive equilibrium of rough contact interfaces (Acito et al, 2019). Here, we focus on the effects of viscoelastic dissipation on the ratedependence of micro-contact sizes during unloading at an imposed velocity using JKR-type experiments.…”

Section: Introductionmentioning

confidence: 99%

Rate-dependent adhesion of viscoelastic contacts, Part I: Contact area and contact line velocity within model randomly rough surfaces

Violano

Chateauminois

Afferrante

2021

Mechanics of Materials

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In this work, we investigate dissipative effects involved during the detachment of a smooth spherical glass probe from a viscoelastic silicone substrate patterned with micro-asperities. As a baseline, the pull-off of a single asperity, millimeter-sized contact between a glass lens and a smooth poly(dimethylsiloxane) (PDMS) rubber is first investigated as a function of the imposed detachment velocity. From a measurement of the contact radius ( ) and normal load during unloading phase, the dependence of the strain energy release rate on the velocity of the contact line = ∕ is determined under the assumption that viscoelastic dissipation is localized at the edge of the contact. These data are incorporated into Muller's model (Muller, 1999) in order to predict the time-dependence of the contact size. Similar pull-off experiments are carried out with the same PDMS substrate patterned with spherical micro-asperities with a prescribed height distribution. From in situ optical measurements of the micro-contacts, scaling laws are identified for the contact radius and the contact line velocity . On the basis of the observed similarity between macro and microscale contacts, a numerical solution is developed to predict the reduction of the contact radius during unloading.

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“…whereŵ i is the displacement due to the elastic interaction between the asperities in contact and is given by [24] w…”

Section: Adhesion Hysteresis Of Rough Elastic Surfacesmentioning

confidence: 99%

Roughness-Induced Adhesive Hysteresis in Self-Affine Fractal Surfaces

Violano

Afferrante

2021

Lubricants

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It is known that in the presence of surface roughness, adhesion can lead to distinct paths of loading and unloading for the area–load and penetration–load relationships, thus causing hysteretic loss. Here, we investigate the effects that the surface roughness parameters have on such adhesive hysteresis loss. We focus on the frictionless normal contact between soft elastic bodies and, for this reason, we model adhesion according to Johnson, Kendall, and Roberts (JKR) theory. Hysteretic energy loss is found to increase linearly with the true area of contact, while the detachment force is negligibly influenced by the maximum applied load reached at the end of the loading phase. Moreover, for the micrometric roughness amplitude hrms considered in the present work, adhesion hysteresis is found to be affected by the shorter wavelengths of roughness. Specifically, hysteresis losses decrease with increasing fractal dimension and cut-off frequency of the roughness spectrum. However, we stress that a different behavior could occur in other ranges of roughness amplitude.

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Modeling the Adhesive Contact of Rough Soft Media with an Advanced Asperity Model

Cited by 26 publications

References 37 publications

A JKR-Like Solution for Viscoelastic Adhesive Contacts

A JKR-Like Solution for Viscoelastic Adhesive Contacts

Rate-dependent adhesion of viscoelastic contacts, Part I: Contact area and contact line velocity within model randomly rough surfaces

Roughness-Induced Adhesive Hysteresis in Self-Affine Fractal Surfaces

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