Abstract

The complex function method used in the solution of dynamic stress concentration on an infinite elastic plane has been generalized to solve problems of scattering of plane SH-wave by canyon topography of arbitrary shape. This paper gives the complete function series and general expressions for boundary condition to approach the solution of steady-state scattering of SH-wave on two-dimensional canyon topography. The problem to be solved can be summarized as the solution of infinite algebraic equation series by using Hermite Function and its orthogonal conditions and solution can be obtained directly by using computer. Finally, computational results of scattering of SH-wave by several two-dimensional canyon topography, such as semi-cylindrical, semi-elliptical and triangular canyon, are presented.

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