[an error occurred while processing this directive]
Ultrasonic testing of a thick
elastic plate with a crack in an anisotropic cladding is modeled analytically for a fully
three-dimensional case. The model includes an ultrasonic transmitter and a receiver
as well as wave scattering from a rectangular crack. The effect of a corrugated
interface between the base component and the cladding is also taken into
account. To solve the scattering problem the null field approach is employed
to determine a Green’s tensor for the same structure without a crack and
the source point located in the cladding. Utilizing the Green’s tensor an
integral representation for the displacement field in the same structure with a
crack and an incident field generated by an ultrasonic transducer may be
derived. It is then straightforward to derive a hypersingular integral equation
for the crack opening displacement, which can be used to determine the
change in signal response due to the crack by Auld’s reciprocity argument.
Numerical results are given for a variety of cases illustrating the effects of size,
position, and orientation of the crack and the properties of the corrugated
interface.
