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Stress distributions and stress intensity factors in ceramic roller bearing rings

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Abstract

A method is presented which allows to compute the stress intensity factors (SIFs) of a ceramic roller bearing ring with a surface flaw. First, the stresses due to mechanical loads applied to the surfaces of the undamaged ring are computed, using Michell's expression for Airy's stress function in polar coordinates ([l]). Second, the stress intensity factors of the flaw are obtained using Tada's additivity principle ([2]), namely by integration of the point force solution for the SIF of a surface crack with the aforementioned stresses as input parameter. To illustrate the procedure, the special case of a ring with a surface flaw which is loaded by six equidistantly spaced cylindrical rollers will be studied numerically.

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Müller, W.H. Stress distributions and stress intensity factors in ceramic roller bearing rings. Continuum Mech. Thermodyn 7, 199–218 (1995). https://doi.org/10.1007/BF01178588

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