Numerical Evaluation fo the Reflection of Rayleigh Waves using a Weight Function Estimation Method

Theoretical analyses relating the reflection coefficient to crack sizes have been considered by many investigators. The general scattering models which describe the relative signal amplitude of an ultrasonic wave scattered from one transducer to another by a void of arbitrary shape or a distribution of cracks in an infinite homogenous isotropic solid have been developed [1–5]. A scattering model of Rayleigh waves from a planar distribution of surface breaking cracks has also been derived [6]. To evaluate the reflection coefficient using that model, the stress intensity factors (SIF) of the cracks under Rayleigh wave stress fields need to be evaluated