The Axisymmetric Dynamic Response of a Cylinder with a Penny-Shaped Crack Bonded to an Infinite Material with Different Elastic Constants

This paper is concerned with the axisymmetric elastodynamic response of a long cylinder with a pennyshaped crack under normal impact, which is bonded to an infinite medium with different elastic constants. The problem is reduced to that of solving a pair of dual integral equations in the Laplace transform domain. Using an integral transform technique, the dual integral equations are further reduced to a Fredholm integral equation of the second kind. The dynamic stress intensity factor is obtained numerically, and the effects of the geometrical configurations and the material properties of the composite material on the dynamic stress intensity factor are shown graphically. Two limiting cases in which the surface of the cylinder is stress free and is fixed are included.