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Residual durability of solids contacting under conditions of fretting fatigue

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Abstract

Within the framework of the concepts of fracture mechanics, we propose a numerical-analytic model for the investigation of fracture processes and evaluation of the durability of contacting bodies under the conditions of fretting fatigue. A key element of this model is the step-by-step construction of the paths of propagation of fatigue cracks by using the criteria of local fracture in a complex stressed state, the equations of propagation of a fatigue crack, and the characteristics of cyclic crack resistance of materials. We construct the paths of propagation of edge cracks in the contact zone of one of the bodies subjected to fretting. We assume that the crack growth is controlled by a stress intensity factor of the mixed type K, which is determined by the criterial relations of the Oθ- criterion, and that the path of a crack is formed by the maximum values in the contact cycle. The dependence of the path shape on the amplitude of the friction factor, the scheme of interaction between the bodies in the contact cycle, the initial lengths of cracks, and their orientation are studied. We show that the obtained theoretical results correlate with experimental data and give an example of calculation of the residual durability of the near-surface layer of VT3-1 titanium alloy in the contact zone.

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Translated from Fizyko-Khimichna Mekhanika Materialiv,Vol. 36, No. 2, pp. 5–19, March-April, 2000.

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Panasyuk, V.V., Datsyshyn, O.P. & Shchur, R.B. Residual durability of solids contacting under conditions of fretting fatigue. Mater Sci 36, 153–169 (2000). https://doi.org/10.1007/BF02767536

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