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In this study, we propose a theory of rough adhesive contact of viscoelastic materials in steady-state sliding. By exploiting a boundary formulation based on Green function approach, the unknown contact domain is calculated by enforcing the…

Soft Condensed Matter · Physics 2024-01-31 C. Mandriota , N. Menga , G. Carbone

We present a novel theory of the adhesive contact of linear viscoelastic materials against rigid substrates moving at constant velocity. Despite the non-conservative behavior of the system, the closure equation of the contact problem can be…

Soft Condensed Matter · Physics 2022-09-15 Giuseppe Carbone , Cosimo Mandriota , Nicola Menga

We present our recent study on rough adhesive contacts of viscoelastic materials in steady-state sliding, focusing on the interplay between adhesion and viscoelasticity by means of a novel energy approach. We investigate tribological…

Soft Condensed Matter · Physics 2024-11-13 Cosimo Mandriota , Nicola Menga , Giuseppe Carbone

In this paper, we propose a numerical model to describe the adhesive normal contact between a "rigid" spherical indenter and a viscoelastic rough substrate. The model accounts for dissipative process under the assumption that viscoelastic…

Soft Condensed Matter · Physics 2020-12-15 Guido Violano , Antoine Chateauminois , Luciano Afferrante

Viscoelasticity and rate-dependent adhesion of soft matter lead to difficulties in modeling the 'relatively simple' problem of a rigid sphere in contact with a viscoelastic half-space. For this reason, approximations in describing surface…

Soft Condensed Matter · Physics 2021-12-08 Luciano Afferrante , Guido Violano

We develop an analytical theory of adhesive interaction of viscoelastic spheres in quasistatic approximation. Deformations and deformation rates are assumed to be small, which allows for the application of the Hertz contact theory, modified…

Materials Science · Physics 2007-05-23 Nikolai V. Brilliantov , Thorsten Poeschel

For the adhesive contact of elastomers, we propose expressions to quantify the impact of viscoelastic response on effective adhesion energy as a function of contact edge velocity. The expressions we propose are simple analytical functionals…

Soft Condensed Matter · Physics 2015-05-13 Etienne Barthel , Christian Frétigny

In this paper, the classical JKR theory of the adhesive contact of isotropic elastic spheres is extended to consider the effect of anisotropic elasticity. The contact area will then generally be non-circular, but in many cases it can…

Materials Science · Physics 2015-06-18 J. R. Barber , M. Ciavarella

Recently, tribologists have shown increasing interest in rate-dependent phenomena occurring in viscoelastic fractures. However, in some cases, conflicting results are obtained despite the use of similar theoretical models. For this reason,…

Soft Condensed Matter · Physics 2022-02-07 Guido Violano , Luciano Afferrante

Viscoelasticity is well known to cause significant hysteresis of crack closure and opening when an elastomer is brought in and out of contact with a flat, rigid, adhesive counterface. A separate origin of adhesive hysteresis is small-scale,…

Soft Condensed Matter · Physics 2023-04-06 Christian Müller , Manar Samri , René Hensel , Eduard Arzt , Martin H. Müser

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…

Soft Condensed Matter · Physics 2018-10-11 M. Ciavarella , J. Joe , A. Papangelo , JR Barber

The adhesion between dry solid surfaces is typically governed by contact forces, involving surface forces and elasticity. For surfaces immersed in a fluid, out-of-contact adhesion arises due to the viscous resistance to the opening of the…

Soft Condensed Matter · Physics 2024-09-18 Vincent Bertin , Alexandros T. Oratis , Jacco H. Snoeijer

A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in a thermodynamical context is presented. A semi-implicit…

Analysis of PDEs · Mathematics 2019-06-11 Tomáš Roubíček

Motivated by roughness-induced adhesion enhancement (toughening and strengthening) in low modulus materials, we study the detachment of a sphere from a substrate in the presence of both viscoelastic dissipation at the contact edge, and…

Soft Condensed Matter · Physics 2020-11-13 M. Ciavarella

The problem of the detachment of a sufficiently large flat indenter from a plane adhesive viscoelastic strip of thickness "b" is studied. For any given retraction speed, three different detachment regimes are found: (i) for very small "b"…

Soft Condensed Matter · Physics 2024-04-05 Ali Maghami , Michele Ciavarella , Antonio Papangelo

Surface roughness is known to easily suppress the adhesion of elastic surfaces. Here a simple model for the contact of \emph{viscoelastic} rough surfaces with significant levels of adhesion is presented. This approach is derived from our…

Soft Condensed Matter · Physics 2008-02-27 Guillaume Haiat , Etienne Barthel

The contact between a rigid Hertzian indenter and an adhesive broad-band viscoelastic substrate is considered. The material behaviour is described by a modified power law model, which is characterized by only four parameters, the glassy and…

Soft Condensed Matter · Physics 2024-07-02 Ali Maghami , Qingao Wang , Michele Tricarico , Michele Ciavarella , Qunyang Li , Antonio Papangelo

High-frequency micrometrical vibrations have been shown to greatly influence the adhesive performance of soft interfaces, however a detailed comparison between theoretical predictions and experimental results is still missing. Here, the…

Soft Condensed Matter · Physics 2024-12-16 Michele Tricarico , Michele Ciavarella , Antonio Papangelo

Insects, pick-and-place manufacturing, engineered adhesives, and soft robots employ soft materials to stick to surfaces even in the presence of roughness. Experiments show that the force required for making contact is lower than for…

Soft Condensed Matter · Physics 2023-07-27 Antoine Sanner , Nityanshu Kumar , Ali Dhinojwala , Tevis D. B. Jacobs , Lars Pastewka

The classic Johnson Kendall Roberts (JKR) theory describes the short-ranged adhesive contact of elastic bodies, but is only valid for axisymmetric contact. A theory for non-axisymmetric contact, which relies on approximating the contact…

Soft Condensed Matter · Physics 2024-12-19 Andrea Giudici , Dominic Vella , Ian Griffiths
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