Transient wave propagation in inhomogeneous porous materials: Application of fractional derivatives

M. Fellah; Z.E.A. Fellah; C. Depollier

doi:10.1016/j.sigpro.2006.02.014

Transient wave propagation in inhomogeneous porous materials: Application of fractional derivatives

Signal Processing ◽

10.1016/j.sigpro.2006.02.014 ◽

2006 ◽

Vol 86 (10) ◽

pp. 2658-2667 ◽

Cited By ~ 21

Author(s):

M. Fellah ◽

Z.E.A. Fellah ◽

C. Depollier

Keyword(s):

Wave Propagation ◽

Porous Materials ◽

Fractional Derivatives ◽

Transient Wave ◽

Transient Wave Propagation

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Generalized equation for transient-wave propagation in continuous inhomogeneous rigid-frame porous materials at low frequencies

The Journal of the Acoustical Society of America ◽

10.1121/1.4824838 ◽

2013 ◽

Vol 134 (6) ◽

pp. 4642-4647

Author(s):

M. Fellah ◽

Z. E. A. Fellah ◽

E. Ogam ◽

F. G. Mitri ◽

C. Depollier

Keyword(s):

Wave Propagation ◽

Porous Materials ◽

Generalized Equation ◽

Transient Wave ◽

Low Frequencies ◽

Rigid Frame ◽

Transient Wave Propagation

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Generalized hyperbolic fractional equation for transient-wave propagation in layered rigid-frame porous materials

Physical Review E ◽

10.1103/physreve.77.016601 ◽

2008 ◽

Vol 77 (1) ◽

Cited By ~ 10

Author(s):

M. Fellah ◽

Z. E. A. Fellah ◽

C. Depollier

Keyword(s):

Wave Propagation ◽

Porous Materials ◽

Transient Wave ◽

Rigid Frame ◽

Transient Wave Propagation ◽

Fractional Equation

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Transient wave propagation in a multi‐layered soil with a fluid surface layer: 1D analytical/semi‐analytical solutions

International Journal for Numerical and Analytical Methods in Geomechanics ◽

10.1002/nag.3253 ◽

2021 ◽

Author(s):

Zhendong Shan ◽

Liping Jing ◽

Lei Zhang ◽

Zhinan Xie ◽

Daosheng Ling

Keyword(s):

Wave Propagation ◽

Surface Layer ◽

Analytical Solutions ◽

Layered Soil ◽

Transient Wave ◽

Fluid Surface ◽

Transient Wave Propagation

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Transient wave propagation in Cosserat-type shells

Composites Part B Engineering ◽

10.1016/j.compositesb.2018.11.037 ◽

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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Uncertainty quantification and global sensitivity analysis for transient wave propagation in pressurized pipes

Water Resources Research ◽

10.1029/2020wr028975 ◽

2021 ◽

Author(s):

Xun Wang

Keyword(s):

Sensitivity Analysis ◽

Wave Propagation ◽

Uncertainty Quantification ◽

Global Sensitivity Analysis ◽

Transient Wave ◽

Global Sensitivity ◽

Transient Wave Propagation

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Transient wave propagation in inhomogeneous media with enriched overlapping triangular elements

Computers & Structures ◽

10.1016/j.compstruc.2020.106273 ◽

2020 ◽

Vol 237 ◽

pp. 106273 ◽

Cited By ~ 5

Author(s):

Yingbin Chai ◽

Klaus-Jürgen Bathe

Keyword(s):

Wave Propagation ◽

Inhomogeneous Media ◽

Transient Wave ◽

Transient Wave Propagation ◽

Triangular Elements

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Transient wave propagation in composite media: Green’s function approach

Journal of the Optical Society of America A ◽

10.1364/josaa.10.000886 ◽

1993 ◽

Vol 10 (5) ◽

pp. 886 ◽

Cited By ~ 10

Author(s):

Anders Karlsson ◽

Henrik Otterheim ◽

Rodney Stewart

Keyword(s):

Wave Propagation ◽

Green’S Function ◽

Green's Function ◽

Function Approach ◽

Composite Media ◽

Transient Wave ◽

Transient Wave Propagation

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A quadratic b-spline based isogeometric analysis of transient wave propagation problems with implicit time integration method

Applied Mathematical Modelling ◽

10.1016/j.apm.2018.01.031 ◽

2018 ◽

Vol 59 ◽

pp. 115-131 ◽

Cited By ~ 5

Author(s):

Weibin Wen ◽

Shengyu Duan ◽

Kai Wei ◽

Yongbin Ma ◽

Daining Fang

Keyword(s):

Wave Propagation ◽

Isogeometric Analysis ◽

Integration Method ◽

Time Integration ◽

Implicit Time ◽

Transient Wave ◽

B Spline ◽

Time Integration Method ◽

Implicit Time Integration ◽

Transient Wave Propagation

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Transient wave propagation analysis of a pantograph- catenary system

Journal of Physics Conference Series ◽

10.1088/1742-6596/744/1/012086 ◽

2016 ◽

Vol 744 ◽

pp. 012086

Author(s):

Kyohei Nagao ◽

Arata Masuda

Keyword(s):

Wave Propagation ◽

Transient Wave ◽

Propagation Analysis ◽

Transient Wave Propagation ◽

Catenary System

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A macro‐element strategy based upon spectral finite elements and mortar elements for transient wave propagation modeling. Application to ultrasonic testing of laminate composite materials

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6080 ◽

2019 ◽

Vol 119 (10) ◽

pp. 964-990 ◽

Cited By ~ 2

Author(s):

Alexandre Imperiale ◽

Edouard Demaldent

Keyword(s):

Wave Propagation ◽

Composite Materials ◽

Ultrasonic Testing ◽

Laminate Composite ◽

Transient Wave ◽

Propagation Modeling ◽

Transient Wave Propagation ◽

Macro Element ◽

Spectral Finite Elements ◽

Wave Propagation Modeling

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