This paper deals with the diffraction of SH-waves by a finite Griffith crac
k located on a symmetric surface of an infinite transversely orthotropic me
dium. The Fourier transform technique [1] has been used to reduce the elast
odynamic problem to the solution of a set of integral equations. These inte
gral equations have been solved by using the finite Hilbert transform techn
ique and Cook's result [2]. The stress intensity factor has been derived fo
r low frequency vibration. (C) 1998 Elsevier Science Ltd. All rights reserv
ed.