Transient response of an edge crack in a rectangular plate with stress-free edges for the tearing mode

Abstract

With the help of the basic theorem of the Fourier series, Fourier transform and Laplace transform, the dynamic stress intensity factor of a rectangular sheet containing an edge crack under sudden anti-plane shear stress is found in this study. It is of interest to find that the solution of this problem is the same as that result obtained by Zhang and Ma ( Engng Fracture Mech. 24, 169–176, 1986). Of course, all of the solutions to the problem of the strip with an edge crack subjected to sudden loadings can be deduced from the result in this paper without any difficulty.