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

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 KІθ, which control crack growth by this mechanism, are investigated. The numerical results are obtained for а railway wheel.