Normal Impact Response of a Cylinder with a Circumferential Edge Crack

Abstract

The axisymmetric dynamic response of an infinite cylinder with a circumferential edge crack under normal impact is considered. Laplace and Hankel transforms are used to reduce the transient problem to a pair of dual integral equations in the Laplace transform plane. The solution is given in terms of a singular integral equation of the first kind which has a generalized Cauchy kernel as the dominant part. A numerical Laplace transform routine is used to recover the time dependence of the solution. Numerical results on the dynamic stress intensity factor are obtained and are presented in a graphical form.