Abstract
Wave momentum considerations lead to the conclusion that scattering problems involving a fluid‐filled crack (normal stress and displacement continuous, vanishing tangential stress) should be in many respects simpler to solve than similar problems with a zero‐stress crack. To illustrate this, an elastic half‐space with a semi‐infinite fluid‐filled crack parallel to the free surface and extending to the left is considered. Incident surface waves, both from the left and from the right are assumed. The Wiener‐Hopf technique is used to determine the reflected and transmitted surface waves for different frequencies and different values of Poisson's ratio. It is found that, in terms of the normal free‐surface displacement, scattering is larger for waves incident from the left. The method can be extended to a semi‐infinite fluid‐filled crack in an elastic layer. The solution can also serve as a starting point in well‐known efficient methods to calculate the scattering of elastic waves by a finite crack or by a fi...
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