A 1D time-domain method for in-plane wave motions in a layered half-space |
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Authors: | Jingbo Liu Yan Wang |
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Institution: | (1) Department of Civil Engineering, Tsinghua University, 100084 Beijing, China |
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Abstract: | A 1D 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 characteristic of elastic wave according to the Snell law. Then, the finite element method
with lumped mass and the central difference method are incorporated to establish 2D wave motion equations, which can be transformed
into 1D equations by discretization principle and explicit finite element method. By solving the 1D 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 analysis and the numerical results demonstrate that the proposed
method has high accuracy and good stability.
The project supported by the National Natural Science Foundation of China (50478014), the National 973 Program (2007CB714200)
and the Beijing Natural Science Foundation (8061003).
The English text was polished by Yunming Chen. |
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Keywords: | In-plane wave Oblique incidence Time-domain method Snell law |
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