Rapid simulation procedure for fretting wear on the basis of the method of dimensionality reduction

Dimaki, Andrey V.; Дмитриев, А. И.; Chai, Young Suck; Popov, Valentin L.

doi:10.1016/j.ijsolstr.2014.08.003

Cited by 30 publications

(41 citation statements)

References 29 publications

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“…The MDR was proposed by Popov and Heß for the fast calculation of various contact problems [9]. Note that it provides not approximation but exact solutions for axisymmetric contacts by mapping of three-dimensional contacts onto one-dimensional contacts, and has been applied to studying on different wear problems, e.g., fretting wear [10] and gross slip wear [11], which were also validated by experiment [12] or by the finite element method [13]. The advantage of the MDR is very fast calculation; the disadvantage is that (for wear problems) it can only be applied to axially-symmetric contact problems.…”

Section: Introductionmentioning

confidence: 99%

Wear Analysis of a Heterogeneous Annular Cylinder

Forsbach

Schuster

et al. 2018

Lubricants

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Wear of a cylindrical punch composed by two different materials alternatively distributed in annular forms is studied with the method of dimensionality reduction (MDR). The changes in surface topography and pressure distribution during the wear process is obtained and validated by the boundary element method (BEM). The pressure in each annular ring approaches a constant in a stationary state where the surface topography does not change any more. Furthermore, in an easier manner, using direct integration, the limiting profile in a steady wear state is theoretically calculated, as well as the root mean square (RMS) of its surface gradient, which is closely related to the coefficient of friction between this kind of surface and an elastomer. The dependence on the wear coefficients and the width of the annular areas of two phases is obtained.

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Section: Introductionmentioning

confidence: 99%

Wear Analysis of a Heterogeneous Annular Cylinder

Forsbach

Schuster

et al. 2018

Lubricants

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“…The energy dissipation may be connected with material dissipation (wear) [1] or utilized for structural damping [2]. Studying both wear and damping requires the solution of a tangential contact problem.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Frictional Dissipation Under Biaxial Tangential Loading With the Method of Dimensionality Reduction

Dimaki

Pohrt

Popov³

2017

FU Mech Eng

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The paper is concerned with the contact between the elastic bodies subjected to a constant normal load and a varying tangential loading in two directions of the contact plane. For uni-axial in-plane loading, the Cattaneo-Mindlin superposition principle can be applied even if the normal load is not constant but varies as well. However, this is generally not the case if the contact is periodically loaded in two perpendicular in-plane directions. The applicability of the Cattaneo-Mindlin superposition principle guarantees the applicability of the method of dimensionality reduction (MDR) which in the case of a uni-axial in-plane loading has the same accuracy as the Cattaneo-Mindlin theory. In the present paper we investigate whether it is possible to generalize the procedure used in the MDR for bi-axial in-plane loading. By comparison of the MDR-results with a complete three-dimensional numeric solution, we arrive at the conclusion that the exact mapping is not possible. However, the inaccuracy of the MDR solution is on the same order of magnitude as the inaccuracy of the Cattaneo-Mindlin theory itself. This means that the MDR can be also used as a good approximation for bi-axial in-plane loading.

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“…26 In the paper, 30 the wear process has been simulated and it was confirmed that with increasing number of oscillation cycles the shape of worn profile tends to the limiting form found in Popov. 26 The same procedure as used in Dimaki et al 27 was additionally validated by comparison with finite element simulations in Dimaki et al 28 Thus, the approach of the paper 26 can be considered as validated by at least two independent simulation methods. In the present paper, we will generalize the treatment suggested in the paper 26 to the dual-mode wear (superposition of normal and tangential oscillations) and the case of visco-elastic contact.…”

Section: Introductionmentioning

confidence: 99%

Limiting shape of profile due to dual-mode fretting wear in contact with an elastomer

Mao

Liu

et al. 2015

Proceedings of the Institution of Mechanical Engineers, Part C:

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We consider fretting wear due to superimposed normal and tangential oscillations of two contacting bodies, one of which is an elastomer with a linear rheology. Similarly to the contact of elastic bodies, at small oscillation amplitudes, the wear occurs only in a circular slip zone at the border of the contact area and the wear profile tends to a limiting form, in which no further wear occurs. It is shown that under assumption of a constant coefficient of friction at the contact interface, the limiting form of the wear profile does depend neither on the particular wear criterion nor on the rheology of the elastomer and can be calculated analytically in a general form. The general calculation procedure and explicit analytic solutions for two initial forms, parabolic and conical, are presented for various combinations of frequencies and phases of normal and tangential oscillations as well as for various linear rheologies of the elastomer.

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Rapid simulation procedure for fretting wear on the basis of the method of dimensionality reduction

Cited by 30 publications

References 29 publications

Wear Analysis of a Heterogeneous Annular Cylinder

Wear Analysis of a Heterogeneous Annular Cylinder

Simulation of Frictional Dissipation Under Biaxial Tangential Loading With the Method of Dimensionality Reduction

Limiting shape of profile due to dual-mode fretting wear in contact with an elastomer

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