  We have considered a semi-infinite crack embedded in a transversely isotropic
medium and studied two special cases, one, in which the axis of symmetry is
normal to the crack face and the wave incidence is arbitrary and another, in
which the axis lies in the crack plane normal to the edge and the incident wave
vector is also normal to the edge. The problem is of interest in
Non-Destructive Evaluation, because austenitic steels that are found in
claddings and other welds in the nuclear reactors are often modeled as
transversely isotropic. In both of cases, we have expressed the scattered field
in a closed form and computed the corresponding diffraction coefficients.
