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Argatov I.I.,Research Institute of Mechanical Engineering Problems | Mishuris G.S.,Aberystwyth University
European Journal of Mechanics, A/Solids | Year: 2010

A unilateral axisymmetric contact problem for a biphasic cartilage layer indented by a rigid punch is considered. The refined linearized kinetic relationship which takes into account both the radial and tangential displacements of the boundary points of the biphasis cartilage layer is imposed. The obtained analytical solution is valid over long-time periods and can be used for increasing loading conditions. It can be used as it is and as a benchmark for verification of FEM model accuracy. © 2010 Elsevier Masson SAS. All rights reserved.

Argatov I.I.,University of Mondragon | Argatov I.I.,Research Institute of Mechanical Engineering Problems | Gomez X.,University of Mondragon | Tato W.,University of Mondragon | Urchegui M.A.,Orona Sa
Wear | Year: 2011

The Archard's wear law based mathematical model of fretting wear between wires is applied to elaboration of the experimental results of the previously reported study of the wear degradation in a stranded steel wire rope subjected to cyclic bending over a sheave. It is shown that the dependence of the coefficient of wear on the contact pressure should be taken into account to explain the observed increase of the wear severity with a reduction of the shave diameter. Accordingly, a mathematical model of fretting wear based on the Archard-Kragelsky wear law was developed, and an example of calibration of the wear law parameters was given. Some implications to fatigue life estimations for stranded wire ropes are discussed. © 2011 Elsevier B.V.

Argatov I.I.,University of Mondragon | Argatov I.I.,Research Institute of Mechanical Engineering Problems
Wear | Year: 2011

The paper presents asymptotic modeling of the local contact of crossed elastic cylinders in reciprocating sliding wear under a prescribed constant normal load. The wear contact problem is formulated within the framework of the three-dimensional theory of elasticity in conjunction with Archard's generalized wear equation. It is shown that the asymptotic modeling approach, which maintains the experimentally related feature of contact pressure in the steady-state regime, leads to simple but sufficiently accurate analytical approximations. In particular, closed-form approximations are derived for the volumetric wear, parameters of the contact area, and the wear scar profiles. The developed asymptotic modeling approach is not capable of handling the initial period of wear process, when the contact pressure distribution transforms from the initial Hertzian form to the uniform distribution appearing in the steady-state regime. The obtained analytical results have been compared with finite-element simulations and experimental results published in the literature. © 2011 Elsevier B.V.

Argatov I.,University of Mondragon | Argatov I.,Research Institute of Mechanical Engineering Problems
International Journal of Solids and Structures | Year: 2011

The refined discrete mathematical model of a simple helical wire rope strand is developed. The effect of the transverse contraction of the wire strand through Poisson's ratio and also through local contact deformations (wire flattening) has been studied in detail. In order to express the interwire contact deformation in terms of the parameters describing the strand deformation, we formulate a two-dimensional model interwire contact problem. The interwire contact interaction is treated as a frictionless unilateral plain strain problem. The nonlinear model interwire contact problem has been solved by the method of matched asymptotic expansions. The constitutive equations for a helical wire rope strand, which take into account both the Poisson's ratio effect and the effect of contact deformation, are obtained in a closed form. © 2011 Elsevier Ltd. All rights reserved.

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