In order to simulate the operating fretting-fatigue conditions in cylindrical structural components, we have performed experimental studies on fretting fatigue of cylindrical specimens with clamped concave cylindrical pads of bridge type. Using the known solutions for stress intensity factors in the semi-elliptical cracks growing in cylindrical specimens, we predict the kinetics of propagation of fretting-fatigue cracks according to the two-parameter model described in Part 1. A close correlation of calculated and experimental fretting-fatigue life values is observed for AMg6N alloy for varied experimental fretting conditions (contact load, slip amplitude and friction coefficient).
For alloy VT9 we have provided approbation of the technique, which takes into account distribution of the residual stresses in the material subsurface during calculation of stress-strain state and life under fretting-fatigue conditions.Keywords: fretting fatigue, crack propagation stages, effective stress intensity factor, fatigue fracture diagram, life prediction.Fretting Fatigue Studies of Cylindrical Specimens. The approach proposed earlier [1] can be applied to fretting fatigue in structural components with round cross section. For this purpose, we re-address the analogue model [2], which implies similarity of the stress-strain states in the tips of cracks growing at the edge a rigid punch/half-plane contact (Fig. 1à) and from a V-notch in a half-plane (Fig. 1b). In view of results obtained in [1], this similarity can be used not only for calculation purposes, but for interpretation of the experimental data as well: if crack propagation by shear mechanism (Mode II) is observed in particular materials (e.g., AMg6N and Al7075-T6 aluminum alloys) during implementation of the contact scheme (Fig. 1à), the same pattern can be expected to occur in the loading scheme (Fig. 1b). On the other hand, the latter scheme is the Otsuka modified scheme [3] for Mode II crack resistance tests, which envisages application of compressive bulk loads parallel to the initial crack. By growing the initial crack in one of the two V-notches by pulse bending one can simulate the respective fretting-fatigue conditions.Since model [2] proposed for a half-plane is widely applied to plane specimens with high width/thickness ratio under conditions of small crack length and high stress gradients, it is reasonable to assume that the axisymmetric problem of a cylindrical body with a circular V-notch would similarly have the same asymptotic solutions, as the contact problem of the uniform equilateral compression of a cylindrical body of diameter D by a convex cylindrical ring of the same inner diameter. By applying a conditional axis of a symmetry X to cross sections shown in Fig. 1, one can compare the bodies of revolution corresponding to the respective cross sections ( Fig. 1à and 1b).
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