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相关论文: Asymptotic modeling of the JKR adhesion contact fo…

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The deformation problem for a transversely isotropic elastic layer bonded to a rigid substrate and coated with a very thin elastic layer made of another transversely isotropic material is considered. The leading-order asymptotic models (for…

偏微分方程分析 · 数学 2015-04-28 Ivan Argatov , Gennady Mishuris

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…

软凝聚态物质 · 物理学 2024-12-19 Andrea Giudici , Dominic Vella , Ian Griffiths

In the framework of the recently developed asymptotic models for tibio-femoral contact incorporating frictionless elliptical contact interaction between thin elastic, viscoelastic, or biphasic cartilage layers, we apply an asymptotic…

偏微分方程分析 · 数学 2012-05-08 Ivan Argatov

In this article, we extended our approach, that is mentioned in part 1, to model the indentation of an adhesive beam by a rigid cylindrical punch. We considered clamped and simply supported beams for this study. We first modeled these beams…

软凝聚态物质 · 物理学 2017-08-31 V. S. Punati , I. Sharma , P. Wahi

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…

材料科学 · 物理学 2015-06-18 J. R. Barber , M. Ciavarella

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…

软凝聚态物质 · 物理学 2018-04-04 M. Ciavarella

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…

材料科学 · 物理学 2018-01-03 M. Ciavarella , A. Papangelo

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…

软凝聚态物质 · 物理学 2020-02-06 Valentin L. Popov

Experimental results for adhesive contacts on substrates coated with elastomeric thin films have recently been obtained by C. Tardivat and L. L\'{e}ger (J. Adhesion Sci. Technol. 15 1055-1078 (2001)) by the so-called JKR test, which…

材料科学 · 物理学 2008-02-27 Etienne Barthel

A quasistatic unilateral frictionless contact problem for a rigid axisymmetric indenter pressed into a homogeneous, linearly elastic and transversely isotropic elastic layer bonded to a homogeneous, linearly elastic and transversely…

偏微分方程分析 · 数学 2012-07-09 I. I. Argatov , F. J. Sabina

We investigate the contact of a rigid cylindrical punch with an adhesive beam mounted on flexible end supports. Adhesion is modeled through an adhesive zone model. The resulting Fredholm integral equation of the first kind is solved by a…

软凝聚态物质 · 物理学 2017-07-25 V. S. Punati , I. Sharma , P. Wahi

A simple but general analysis of stability of axis-symmetric adhesive contacts is provided. Adhesion is considered in the JKR-approximation. Depending on the shape of the contacting bodies, various scenarios are possible, including…

软凝聚态物质 · 物理学 2017-07-26 Valentin L. Popov

How friction affects adhesion is addressed. The problem is considered in the context of a very stiff sphere adhering to a compliant, isotropic, linear elastic substrate, and experiencing adhesion and frictional slip relative to each other.…

软凝聚态物质 · 物理学 2020-02-19 R. M. McMeeking , M. Ciavarella , G. Cricrì , K. -S. Kim

We have recently proposed an efficient computation method for the frictionless linear elastic axisymmetric contact of coated bodies [A. Perriot and E. Barthel, J. Mat. Res. 19 (2004) 600]. Here we give a brief description of the approach.…

材料科学 · 物理学 2009-11-11 Etienne Barthel , Antoine Perriot , Antoine Chateauminois , Christian Frétigny

An asymptotic analysis is performed for thin anisotropic elastic plate clamped along its lateral side and also supported at a small area $\theta_{h}$ of one base with diameter of the same order as the plate thickness $h\ll1.$ A…

偏微分方程分析 · 数学 2017-04-20 G. Buttazzo , G. Cardone , S. A. Nazarov

Adhesive interactions strongly characterize the contact mechanics of soft bodies as they lead to large elastic deformations and contact instabilities. In this paper, we extend the Interacting and Coalescing Hertzian Asperities (ICHA) model…

软凝聚态物质 · 物理学 2019-07-15 Guido Violano , Luciano Afferrante

Johnson-Kendall-Roberts (JKR) theory is an accurate model for strong adhesion energies of soft slightly deformable material. Little is known about the validity of this theory on complex systems such as living cells. We have addressed this…

生物物理 · 物理学 2016-08-16 Yeh-Shiu Chu , Sylvie Dufour , Jean Paul Thiery , Eric Perez , Frédéric Pincet

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…

软凝聚态物质 · 物理学 2017-12-29 M. Ciavarella

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…

偏微分方程分析 · 数学 2019-06-11 Tomáš Roubíček

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…

材料科学 · 物理学 2016-02-16 Markus Heß
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