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| A modified boundary element method for scattering problem of Rayleigh wave |
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Abstract Boundary element method (BEM) has the advantage in solving infinite field problems such as those concerning half-spaces. However, for elastic wave propagation problem, spurious reflected waves will occur at the truncation points by the conventional BEM if full space Green’s function is adopted, which directly affects the accuracy in solving scattering fields. In light of this, a modified BEM method is proposed to analyze scattered fields of the two dimensional Rayleigh waves in 2-D half-plane based on the conventional BEM. We calculated the correction factors by reciprocity relations between the unit Rayleigh wave and the full plane Green’s function. Meanwhile, by substituting the correction factors into the modified BEM method, we can calculate the scattered field of Rayleigh wave. The method is varified by comparing the numerical results with analytical solutions and calculating scattering fields of different flaws. Those comparison results show that the modified BEM proposed in the paper can accurately solve the scattering problem of Rayleigh waves, which provides an effective forward simulation way for further investigating inverse problem of flaw reconstruction based on surface waves.
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Received: 10 February 2017
Published: 28 October 2017
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2017, Vol. 38 
