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Recently, there has been some debate over the effect of adhesion on the contact of rough surfaces. Classical asperity theories predict, in agreement with experimental observations, that adhesion is always destroyed by roughness except if…

Materials Science · Physics 2015-05-04 M. Ciavarella

The elastic and adhesive properties of a solid surface can be quantified by indenting it with a rigid sphere. Indentation tests are classically described by the JKR-law when the solid is very stiff, while recent work highlights the…

Soft Condensed Matter · Physics 2015-08-17 Stefan Karpitschka , Leen van Wijngaarden , Jacco H. Snoeijer

In the present note, we suggest a simple closed form approximate solution to the adhesive contact problem under the so-called JKR regime. The derivation is based on generalizing the original JKR energetic derivation assuming calculation of…

Soft Condensed Matter · Physics 2018-04-04 M. Ciavarella

In the present note, we start by observing that in the classical JKR theory of adhesion, using the usual Hertzian approximations, the pull-off load grows unbounded when the clearance goes to zero in a conformal "ball in socket" geometry. To…

Soft Condensed Matter · Physics 2017-12-29 M. Ciavarella

The Johnson--Kendall--Roberts model of frictionless adhesive contact is extended to the case of a thin transversely isotropic elastic layer bonded to a rigid base. The leading-order asymptotic models are obtained for both compressible and…

Analysis of PDEs · Mathematics 2015-12-10 I. I. Argatov , G. S. Mishuris , V. L. Popov

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

An efficient method is presented for solving axisymmetric, frictionless contact problems between a rigid punch and an elastically non-homogeneous, power-law graded half-space. Provided that the contact area is simply-connected profiles of…

Materials Science · Physics 2016-02-16 Markus Heß

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

In the present short note, we generalize simple approximate Johnson-Jaffar-Barber solutions for the indentation by a rigid punch of a thin elastic layer on a rigid foundation to the case of adhesion. This could be an interesting geometry…

Materials Science · Physics 2018-01-03 M. Ciavarella , A. Papangelo

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…

Soft Condensed Matter · Physics 2015-06-19 Bo N. J. Persson , Michele Scaraggi

Understanding the contact between solid surfaces is a long standing problem which has a strong impact on the physics of many processes such as adhesion, friction, lubrication and wear. Experimentally, the investigation of solid/solid…

Materials Science · Physics 2019-02-25 F. Rieutord , C. Rauer , H. Moriceau

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

Application of the principle of energy balance to a rigid indenter in contact with elastic layer on a flat rigid substrate provides a very simple derivation of the detachment criterion which earlier has been obtained by much more…

Soft Condensed Matter · Physics 2018-05-23 Valentin L. Popov

In this two part series, we present a contact model able to capture the response of interacting adhesive elastic-perfectly plastic particles under a variety of loadings. In Part I, we focus on elastic through fully-plastic contact with and…

Soft Condensed Matter · Physics 2023-09-15 William Zunker , Ken Kamrin

The adhesive contact between elastic solids with randomly rough, self affine fractal surfaces is studied by molecular dynamics (MD) simulations. The interfacial binding energy obtained from the simulations of nominally flat and curved…

Soft Condensed Matter · Physics 2011-12-23 N. Mulakaluri , B. N. J. Persson

We consider an adhesive contact between a thin soft layer on a rigid substrate and a rigid cylindrical indenter ("line contact") with account of the surface tension of the layer. First, it is shown that the boundary condition for the…

Soft Condensed Matter · Physics 2020-02-06 Valentin L. Popov

We present theoretical arguments, based on linear elasticity and thermodynamics, to show that interfacial tangential stresses in sliding adhesive contacts does not affet at all the adhesive behavior of the system, which then follows the…

Materials Science · Physics 2020-12-18 Nicola Menga , Giuseppe Carbone , Daniele Dini

Using a recent description of the geometric stability manifold, we show the geometric stability manifold associated to any smooth projective complex surface is contractible. We then use this result to demonstrate infinitely many new…

Algebraic Geometry · Mathematics 2024-05-24 Nick Rekuski

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
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