Abstract
The discontinuous solution of the torsional vibration equation for an elastic medium with a flaw in the form of a semi-infinite cylindrical crack is constructed. The method of solving the integro-differential equation describing the distribution of shear stresses along the edges of a cylindrical crack is presented. The evaluation procedure for a stress intensity factor and its numerical calculation for the case of short times under the shock loading of cylindrical crack edges are given. It is established that the magnitude of a dynamic stress intensity factor can be used to determine the condition of shock wave interactions with structural heterogeneities at the high-rate deformation of treated surfaces containing flaws in the form of cylindrical cracks.
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