One-dimensional transient wave propagation in fluid-saturated incompressible porous media

1993 ◽  
Vol 63 (1) ◽  
pp. 59-72 ◽  
Author(s):  
Reint de Boer ◽  
Wolfgang Ehlers ◽  
Zhangfang Liu
Keyword(s):  
Porous Media ◽  
Wave Propagation ◽  
Transient Wave ◽  
One Dimensional ◽  
Transient Wave Propagation

Numerical Analysis of Transient Wave Propagation in Nonlinear One-Dimensional Waveguides by Using the Spectral Finite Element Method

2015 ◽  
Vol 10 (5) ◽  
Author(s):  
Yu Liu ◽  
Andrew J. Dick
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Propagation ◽  
Geometric Nonlinearity ◽  
Material Nonlinearity ◽  
Transient Wave ◽  
One Dimensional ◽  
Transient Wave Propagation ◽  
1D Model ◽  
Element Method

In this paper, transient wave propagation in nonlinear one-dimensional (1D) waveguides is studied. A complete nonlinear (CN) 1D model accounting for both axial and transverse displacements is developed and geometric and material nonlinearities are separately modeled. The alternating frequency-time finite element method (AFT-FEM) is implemented for this complete 1D model. Numerical simulations are conducted and the response behaviors for axial and transverse motions are analyzed. Comparison of the responses for the geometrically nonlinear (GN) model with a corresponding linear model supports predictions made from the previous analytical studies that the geometric nonlinearity has limited influence on the response of transient transverse waves in the intermediate strain regime. On the contrary, strong nonlinear behavior appears in the response for the materially nonlinear (MN) models. Depending on the local nonlinear property of the material in the intermediate strain regime, the amplitude of the response can be significantly influenced and additional dispersion can be introduced into the response. An exploration of the interaction between the geometric nonlinearity and the material nonlinearity for a rod model in a large strain regime is also conducted and the responses are analyzed by using time-frequency analysis. The competing effect of the geometric nonlinearity and the material nonlinearity can result in a pseudolinear response in a strong nonlinear system for a given range of impact loading.

One-Dimensional Transient Wave Propagation in a Dry Overlying Saturated Ground

2019 ◽  
Vol 23 (10) ◽  
pp. 4297-4310
Author(s):  
Jiang Tao Yi ◽  
Lei Zhang ◽  
Fei Jian Ye ◽  
Siang Huat Goh
Keyword(s):  
Wave Propagation ◽  
Transient Wave ◽  
One Dimensional ◽  
Transient Wave Propagation

Transient wave propagation in Cosserat-type shells

2019 ◽  
Vol 163 ◽  
pp. 145-149
Author(s):  
Yury A. Rossikhin ◽  
Marina V. Shitikova
Keyword(s):  
Wave Propagation ◽  
Transient Wave ◽  
Transient Wave Propagation
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