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《力学学报(英文版)》 2007-06
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A 1D time-domain method for in-plane wave motions in a layered half-space

Jingbo Liu Yan Wang Department of Civil Engineering,Tsinghua University,100084 Beiiing,China  
A ID finite element method in time domain is developed in this paper and applied to calculate in-plane wave motions of free field exited by SV or P wave oblique incidence in an elastic layered half-space.First,the layered half-space is discretized on the basis of the propagation cha- racteristic of elastic wave according to the Snell law.Then, the finite element method with lumped mass and the cen- tral difference method are incorporated to establish 2D wave motion equations,which can be transformed into 1D equa- tions by discretization principle and explicit finite element method.By solving the ID equations,the displacements of nodes in any vertical line can be obtained,and the wave motions in layered half-space are finally determined based on the characteristic of traveling wave.Both the theoretical ana- lysis and the numerical results demonstrate that the proposed method has high accuracy and good stability.
【Fund】: the National Natural Science Foundation of China(50478014);; the National 973 Program(2007CB714200);; the Beijing Natural Science Foundation(8061003).
【CateGory Index】: O189.23
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