A circular disk with an edge radial Mode I crack under model contact loading

Keywords

circular disk, edge radial crack, contact load, rolling, sliding friction, crack opening displacement, singular integral equation, stress intensity factor, railway wheel.

Cite as

Datsyshyn O. P., Marchenko H. P., Rudavska I. A., and Glazov A. Yu. A circular disk with an edge radial Mode I crack under model contact loading. Physicochemical Mechanics of Materials. 2025. 61(4), 016-025.

https://doi.org/10.15407/pcmm2025.04.016

Abstract

A plane problem of the elasticity theory for a circular disk with an edge radial crack under model contact load, taking into account the friction forces, is solved. The problem is reduced to a singular integral equation of the first kind with Cauchy kernel, which is solved by the numerical mechanical quadrature method. Zones of contact load location on the disk contour, favorable for the crack opening displacement and its further growth by Mode I mechanism, are established. The maximum values of mixed-mode stress intensity factors K_Іθ, which control crack growth by this mechanism, are investigated. The numerical results are obtained for а railway wheel.

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