Impact response of a transversely isotropic cylinder with a penny-shaped crack
The axisymmetric dynamic response of a penny-shaped crack in a transversely isotropic infinite cylinder under normal impact is analyzed. 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 Fredholm integral equation of the second kind. A numerical Laplace inversion routine is used to recover the time dependence of the solution. The dynamic stress intensity factor is determined and numerical results for some practical materials are shown graphically to demonstrate the influence of transverse isotropy.
transversely isotropic infinite cylinder
Fredholm integral equation of the second kind
scientific article; zbMATH DE number 3970180