Abstract
We use a 2D elastodynamic boundary integral equation or boundary element method (BEM) in this paper and apply it to solve crack scattering problems. The method is based on the integral representation of a scattered wavefield by assuming a fictitious source distribution on the scattering objects or inclusions (i.e. mathematical description of Huygens’ principle), and the fictitious source distribution can be found by matching appropriate boundary conditions at the boundary of the inclusions. We present two numerical examples to demonstrate the versatility of the BEM method. The first example shows that different spatial arrangements of the same scatters lead to profound differences in scattering characteristics, in particular the frequency contents of the transmitted wavefields using the method of time‐frequency analysis. The second example shows the effects of power‐law or fractal distribution of scalelengths on transmitted wavefields, and we conclude that frequency characteristics, such as the frequency of the peak attenuation, can be related to spatial size parameters of the model.
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