Acoustic Wave Scattering from a Circular Crack: Comparison of Different Computational Methods

This work was motivated by a disagreement between the results obtained from two computations of scattering of an axially incident elastic p-wave on a circular crack. One calculation, using the method of Mai [1], involving the direct solution of the Helmholtz integral equation for this case, shows the total cross-section oscillating with a considerable amplitude about σtot = 27πa2 as a function of kRa with period π, where kR = 2π/λR 2 is the Rayleigh surface wavenumber