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The method of dimensionality reduction (MDR) is extended for the axisymmetric frictionless unilateral Hertz-type contact problem for a viscoelastic half-space and an arbitrary axisymmetric rigid indenter under the assumption that an…

材料科学 · 物理学 2015-08-19 Ivan I. Argatov , Valentin L. Popov

In this paper, adhesive contact of a rigid cylinder on an elastic power-law graded half-space is studied analytically with the theory of weakly singular integral equation and orthogonal polynomial method. Emphasis is placed on the coupling…

材料科学 · 物理学 2009-11-24 Jin Fan , Xu Guo

The surface tension of compliant materials such as gels provides resistance to deformation in addition to and sometimes surpassing that due to elasticity. This article studies how surface tension changes the contact mechanics of a small…

软凝聚态物质 · 物理学 2015-02-19 Chung-Yuen Hui , Tianshu Liu , Thomas Salez , Elie Raphael , Anand Jagota

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…

软凝聚态物质 · 物理学 2018-05-23 Valentin L. Popov

In the present paper we show that the normal contact problem between two elastic bodies in the halfspace approximation can always be transformed to an equivalent problem of the indentation of a profile into an elastic Winkler foundation.…

软凝聚态物质 · 物理学 2015-10-26 Valentin L. Popov , Roman Pohrt , Markus Heß

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…

软凝聚态物质 · 物理学 2023-09-15 William Zunker , Ken Kamrin

Recently proposed formulation of the Boundary Element Method for adhesive contacts has been generalized for contacts of functionally graded materials with and without adhesion. First, proceeding from the fundamental solution for single…

软凝聚态物质 · 物理学 2016-12-28 Qiang Li , Valentin L. Popov

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

The conventional formulation of the Method of Dimensionality Reduction (MDR) in contact mechanics is only applicable two "point contacts", that is to contacts of two unbounded three-dimensional bodies over final contact area. We analyze…

材料科学 · 物理学 2017-11-10 Valentin L. Popov

For cylindrical indentation of elastic half-space the relationship between the depth of indentation delta and the applied force F is nonlinear, in contrast to the linear relationship between the height of the contact zone delta_0 and the…

应用物理 · 物理学 2023-09-06 Vlado A. Lubarda , Marko V. Lubarda

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…

材料科学 · 物理学 2020-12-18 Nicola Menga , Giuseppe Carbone , Daniele Dini

The most direct measurement of adhesion is the pull-off force, i.e. the tensile force necessary to separate two solids in contact. For a given interface, it depends on various experimental parameters, including separation speed, contact age…

软凝聚态物质 · 物理学 2023-10-24 C. Oliver , D. Dalmas , J. Scheibert

We derive a connection between the intrinsic tribological properties and the electronic properties of a solid interface. In particular, we show that the adhesion and frictional forces are dictated by the electronic charge redistribution…

其他凝聚态物理 · 物理学 2018-07-17 M. Wolloch , G. Levita , P. Restuccia , M. C. Righi

Surface tension is a prominent factor for the deformation of solids at micro-/nano-scale. This paper investigates the effects of surface tension on the two-dimensional contact problems of an elastic layer bonded to the rigid substrate.…

软凝聚态物质 · 物理学 2018-10-29 Weike Yuan , Gangfeng Wang

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…

软凝聚态物质 · 物理学 2018-10-11 M. Ciavarella , J. Joe , A. Papangelo , JR Barber

The classical problem of indentation on an elastic substrate has found new applications in the field of the Atomic Force Microscopy. However, linearly elastic indentation models are not sufficiently accurate to predict the…

软凝聚态物质 · 物理学 2022-12-14 Yangkun Du , Peter Stewart , Nicholas A Hill , Huabing Yin , Raimondo Penta , Jakub Kory , Xiaoyu Luo , Raymond Ogden

In Part I of this two part series, we presented a multi-neighbor dependent contact model for adhesive elastic-plastic particles built upon the method of dimensionality reduction that is valid for the elastic and fully-plastic contact…

软凝聚态物质 · 物理学 2023-09-15 William Zunker , Ken Kamrin

As recently suggested in an interestring and stimulating paper by Menga, Carbone & Dini (MCD), applying fracture mechanics energy concepts for the case of a sliding adhesive contact, imposing also the shear stress is constant at the…

软凝聚态物质 · 物理学 2020-02-19 M. Ciavarella

An extension to the interface finite element with eMbedded Profile for Joint Roughness (MPJR interface finite element) is herein proposed for solving the frictional contact problem between a rigid indenter of any complex shape and an…

软凝聚态物质 · 物理学 2025-04-03 Jacopo Bonari , Marco Paggi , José Reinoso

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…

软凝聚态物质 · 物理学 2015-06-19 Bo N. J. Persson , Michele Scaraggi
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