2006
DOI: 10.1016/j.jappmathmech.2007.01.010
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The wear contact problem with partial slippage

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Cited by 12 publications
(5 citation statements)
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“…We note that Eq. (3) generalizes the hypothesis introduced by Goryacheva and Goryachev [39] that the thickness of the third-body layer is proportional to the depth of the worn layer. To simplify the semi-analytical fretting wear simulations with the effect of wear debris, it was suggested by Done et al [40] to consider that the third-body layer is attached to the surface of one of the contacting bodies (presumably to that which has grater surface curvature).…”
Section: Third Body Modellingsupporting
confidence: 62%
“…We note that Eq. (3) generalizes the hypothesis introduced by Goryacheva and Goryachev [39] that the thickness of the third-body layer is proportional to the depth of the worn layer. To simplify the semi-analytical fretting wear simulations with the effect of wear debris, it was suggested by Done et al [40] to consider that the third-body layer is attached to the surface of one of the contacting bodies (presumably to that which has grater surface curvature).…”
Section: Third Body Modellingsupporting
confidence: 62%
“…For solving the problem it is necessary to determine the contact pressure distribution on the real contact spots, taking into account the curvature of the deformed half-space surface due to the interaction of punches (asperities). The main point of the localization principle (Goryacheva, 2006) is that the real contact pressure on a single contact spot with a sufficient accuracy is determined by setting the exact contact conditions only on the fixed spot under consideration and adjacent to it. The influence of the remaining spots is replaced by the action of the nominal (averaged over the remaining part of the surface) pressure.…”
Section: Localization Principle In Solving the Discrete Contact Problemsmentioning
confidence: 99%
“…They usually include the Fast Fourier transform (FFT) technique to meet the periodic boundary conditions and to reduce the calculation costs (Stanley and Kato, 1997;Yastrebov et al, 2015). A rather effective approximate approach for estimating the distribution of contact pressures on the real contact spots for the surfaces with regular microgeometry, taking into account the asperities interaction, is the use of the localization principle (Goryacheva, 2006). It allows calculating the real contact areas and pressure distribution on them for periodic systems of asperities, having equal or different heights.…”
Section: Introductionmentioning
confidence: 99%
“…A simple mathematical model of wear accumulation in the case of initial Hertzian contact was developed by Chai and Argatov (2019) based on the dissipation energy model for the volume wear rate (Fouvry et al, 2003). The following one fitting parameter formula was suggested for the non-monotonic variation of the volume wear rate: Goryacheva et al, 2001;Hills et al, 2009 Arbitrary Goryacheva and Goryachev, 2006 3D axisymmetric Hertzian Popov, 2014Dini et al, 2008Arbitrary Popov, 2014 3D non-axisymmetric Hertzian 3D axisymmetric FGM Hertzian Willert et al, 2019Heß, 2019 Arbitrary Willert et al, 2019 Here, w 0 is the initial volume wear rate, which can be evaluated using the Cattaneo-Mindlin theory (Johnson, 1955), N is the number of cycles, N 1 , is an auxiliary parameter, which is related to the total worn volume V ∞ = w 0 (1 + β 1 )N 1 , and β 1 is the only fitting parameter. The analytical model (27) implies that the wearing-in period is proportional to N 1 , which, in turn, is estimated as…”
Section: Wear Accumulationmentioning
confidence: 99%