Interaction of elastic waves with a penny-shaped crack in an infinitely long cylinder

This paper contains an analysis of the interaction of longitudinal waves with a penny-shaped crack located in an infinitely long elastic cyclinder. The problem is reduced to a Fredholm integral equation of the second kind which is solved numerically for a range of values of the frequency of the incident waves and the radius of the cylinder. Numerical values of the dynamic stress intensity factor at the rim of the crack have been calculated.