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Combination Method of Wave Functions to Solve the Problem of Scattering in 2D Elastic Half Space

YAO Yu,LIU Tian-yun,ZHANG Jian-min(1.State Key Laboratory of Hydroscience and Engineering,School of Civil Engineering,Tsinghua University,Beijing 100084,China)  
This paper puts forward a new method which combine the characteristic functions of body waves and surface waves to solve the problem of non-uniform input,which is the displacement of the boundary of the irregular valley topography under the incidence of different kinds of waves in different angles.The method strictly meet the free-surface requirements,and overcome the shortcomings that the existing wave function expansion method cannot express the problem of scattering in two-dimension irregular topography completely.The numerical example shows that the method has the advantages in accuracy,stability,and calculation,which can be applied to the non-uniform input problem of the structure-foundation dynamic interaction.
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