Elastic wave scattering by a cylindrical shell

Veksler, N. D.; Izbicki, Jean‐Louis; Conoir, Jean-Marc

doi:10.1016/s0165-2125(98)00043-2

Cited by 10 publications

(9 citation statements)

References 18 publications

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“…As the analysis of this paper parallels that of Naum Veksler et al [5], in some cases, we will compare the results of this paper to those obtained by Naum Veksler et al, for elastic shell and medium. To give dynamic properties as close as possible to Biot's porous medium, we should determine the elastic constants of the shell and medium, i.e.…”

Section: Numerical Resultssupporting

confidence: 61%

“…The analysis will closely parallel the analysis of scattering by infinite elastic cylindrical shell in Reference [5]. The geometry and coordinate system used are shown in Figure 1, in which a 1 and a 2 are the outer and inner radii of shell, h is the thickness of shell.…”

Section: Scatter Of Plane Harmonic Wave On An Infinite Cylindrical Shellmentioning

confidence: 99%

“…Without examining the 'geometrical' waves, i.e. the specularly reflected wave and the refracted waves, Naum Veksler et al [5] analysed the resonances of an elastic cylindrical shell in elastic matrix, and also, the peripheral wave via the determination of their phase velocity. In addition, Brill et al [6,7] developed the resonance theory for scattering from an empty spherical cavity, and was further used for the analysis of the scattering problem of plane longitudinal and shear waves by a liquid filled spherical cavity in elastic medium.…”

Section: Introductionmentioning

confidence: 99%

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Scattering of elastic wave by a partially sealed cylindrical shell embedded in poroelastic medium

Liu

Xie

Yao

2005

Num Anal Meth Geomechanics

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SUMMARYScattering of an elastic wave by a cylindrical shell embedded in poroelastic medium is investigated theoretically with the assumption that the shell material is also a porous elastic medium. The porous medium is modellized via Biot's theory and the scattering by cylindrical shell is expressed by the definition of scattering matrix. The normal mode expansion technique is employed for analysing the scattering field, and the asymptotic solutions of displacements, stresses and pore pressure are derived. Two limiting casesscattering by a poroelastic cylinder in Biot medium and a elastic cylindrical shell in elastic medium are obtained from the general solutions. The dispersion curves of displacement amplitude at the interface of shell and medium is compared with the case of elastic shell. The scattering amplitude associated with the fast, slow and transverse waves are identified by numerical simulation. Furthermore, the influence of the poroelastic property of shell material on scattering amplitude is analysed.

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Section: Numerical Resultssupporting

confidence: 61%

Section: Scatter Of Plane Harmonic Wave On An Infinite Cylindrical Shellmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scattering of elastic wave by a partially sealed cylindrical shell embedded in poroelastic medium

Liu

Xie

Yao

2005

Num Anal Meth Geomechanics

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“…And the potential functions of P and S wave in the cylindrical shell are (Pao and Mow, 1973;Veksler et al, 1999) …”

Section: Potential Functions Of Scattering and Refracting Wave Fieldsmentioning

confidence: 99%

“…A good deal of studies have been carried out after the 1950s on the scattering problem of elastic wave by a cylindrical shell or a cylinder in elastic medium or liquid, and the theory is already perfect (White, 1958;Pao and Mow, 1973;Gaunaurd and Überall, 1978;Veksler et al, 1999). To now, the scattering problem of elastic wave by a cylindrical cavity or cylinder in saturated medium is also studied (Norris, 1985;Zimmerman and Stern, 1993;Morochnik and Bardet, 1996;HU et al, 1998;LU and WANG, 2002), but there is no report on the scattering problem of elastic wave by a water-proof cylindrical shell deeply embedded in saturated medium.…”

Section: Introductionmentioning

confidence: 99%

Scattering of elastic wave by a cylindrical shell deeply embedded in saturated soils

Xia

Han

2006

Acta Seimol. Sin.

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The compression of soil grain and pore fluid as well as viscid coupling of pore fluid and soil skeleton is considered, the scattering problem of incident plane P 1 wave (fast compressional wave) by an infinite cylindrical shell deeply embedded in isotropic saturated soils is studied by adopting the amended Biot model, amplitude equations about potential functions of scattering and refracting fields are obtained, and the effect of dimensionless frequencies and shell thickness on the back-scattering spectra and dynamic stress concentration factors of two types of cylindrical shells with high and low rigidity are numerically computed and analyzed.

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Multi-Scattering of Plane P Waves by Several Fluid-Filled Cavities

2013

Geotech Geol Eng

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Elastic wave scattering by a cylindrical shell

Cited by 10 publications

References 18 publications

Scattering of elastic wave by a partially sealed cylindrical shell embedded in poroelastic medium

Scattering of elastic wave by a partially sealed cylindrical shell embedded in poroelastic medium

Scattering of elastic wave by a cylindrical shell deeply embedded in saturated soils

Multi-Scattering of Plane P Waves by Several Fluid-Filled Cavities

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