Scattering of Plane Harmonic Waves by Multiple Dipping Layers of Arbitrary Shape

Dravinski, Marijan; Mossessian, Tomi K.

doi:10.1016/b978-0-444-98956-7.50010-6

Cited by 46 publications

(64 citation statements)

References 27 publications

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“…The boundary conditions consisted of the traction-free ground surface and the seismic loading was introduced through the term of incident motion in Equation (10). This problem was studied in a dimensionless form by Wong [17], Dravinski and Mossessian [18], Mossessian and Dravinski [19], Kawase [21] and Sanchez-Sesma and Campillo [23] for purely elastic or weakly inelastic media. The canyon has a radius of (r ), a shear wave velocity of (c 2 ) and a Poisson's ratio of 1 3 .…”

Section: Numerical Formulationmentioning

confidence: 99%

Amplification pattern of 2D semi‐sine‐shaped valleys subjected to vertically propagating incident waves

Kamalian

Gatmiri

Sohrabi-Bidar

et al. 2006

Commun. Numer. Meth. Engng.

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SUMMARYThis paper presents the preliminary results of an extensive numerical parametric study on seismic behaviour of two-dimensional semi-sine-shaped valleys subjected to vertically propagating incident in-plane compression and shear waves. The medium is assumed to have a linear elastic constitutive behaviour. All calculations are executed in time-domain using the direct boundary element method. Clear perspectives of the amplification patterns of the valley are presented by investigation of the frequencydomain responses. It is shown that wavelength, site geometry and in a less order of importance, wave type and material parameters, are the independent key parameters governing the valley's amplification pattern. Some simple rules are obtained which could be used in seismic microzonation and seismic design of structures founded inside the valley.

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Section: Numerical Formulationmentioning

confidence: 99%

Amplification pattern of 2D semi‐sine‐shaped valleys subjected to vertically propagating incident waves

Kamalian

Gatmiri

Sohrabi-Bidar

et al. 2006

Commun. Numer. Meth. Engng.

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“…In [3] an indirect boundary integral technique was used. The results obtained by the present method are seen to agree well with those obtained in [3]. Figures 5-8 show some representative results for different frequencies and angles of incidence obtained by the present method.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Reference:; to papers on scattering by surface-breaking cracks can be found in [1,2]. The corresponding problem of cavities at the surface and topographic irregularities has been studied in seismology (see, for example, [3,4]). Almost all the studies have dealt with two-dimensional problems (for references to some 3-D scattering see [5]).…”

mentioning

confidence: 99%

Three dimensional scattering of elastic waves by surface corrosion pits

1996

NDT & E International

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Elastic wave scattering by surface defects like cracks, corrosion induced pits, topographic irregularities, ~:tc., is of interest for ultrasonic nondestructive evaluation and in seismology. Scattering by surface-breaking cracks has been studied by many authors in recent years. Reference:; to papers on scattering by surface-breaking cracks can be found in [1,2]. The corresponding problem of cavities at the surface and topographic irregularities has been studied in seismology (see, for example, [3,4]). Almost all the studies have dealt with two-dimensional problems (for references to some 3-D scattering see [5]).In this paper we have studied the general three-dimensional problem of elastic wave scattering by surface-breaking cavities of arbitrary shape using a hybrid method which combines the finite element representation of the interior field with the boundary integral representation of the exterior field. The advantage of the method is that it is suitable for analyzing scattering by arbitrarily shaped and multiple cavities. In this regard the method is similar to that used in [1], where the outside field was represented in terms of multipolar potentials. 1be details of the present method can be found in [6]. Figure 1 shows the geometry of the problem. As shown, homogeneous, isotropic, linearly elastic half-space containing a cylindrical pit of arbitrary surface shape with axis parallel to the y-axis (not shown) is considered. The two artificial boundaries B and C divide the medium into two regions. 1be interior region R 1 is bounded by the boundary B, the pit surface and part of the free surface. 1be exterior region Ro is bounded by the free surface and the contour C and extends to infinity in the x, y, and z directions. The area between the contours Band Cis shared by both regions. We consider plane harmonic P or SV-wave incident at an arbitrary angle to theY-axis (see Fig. 2). FORMULATION 63

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“…In recent years, a special indirect boundary integration equation method (IBIEM), which has the advantages of reducing dimensions of problems, automatic satisfaction of boundary condition at infinite far, and high calculation precision, has been successfully applied in the field of diffraction of plane waves in elastic media (Sanchez-Sesma and Rosenblueth, 1979;Wong, 1982;Luco and de Barros, 1994;Dravinski and Mossessian, 1987). Based on the single-layer potential theory, the IBIEM resolves problems in the following way.…”

Section: Introductionmentioning

confidence: 99%

Diffraction of plane P waves by a canyon of arbitrary shape in poroelastic half-space (I): Formulation

Liang

Liu

2009

Earthq Sci

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This paper presents an indirect boundary integration equation method for diffraction of plane P waves by a two-dimensional canyon of arbitrary shape in poroelastic half-space. The Green's functions of compressional and shear wave sources in poroelastic half-space are derived based on Biot's theory. The scattered waves are constructed using the fictitious wave sources close to the boundary of the canyon, and magnitude of the fictitious wave sources are determined by the boundary conditions. The precision of the method is verified by the satisfaction extent of boundary conditions, the comparison between the degenerated solutions of single-phased half-space and the well-known solutions, and the numerical stability of the method.

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Scattering of Plane Harmonic Waves by Multiple Dipping Layers of Arbitrary Shape

Cited by 46 publications

References 27 publications

Amplification pattern of 2D semi‐sine‐shaped valleys subjected to vertically propagating incident waves

Amplification pattern of 2D semi‐sine‐shaped valleys subjected to vertically propagating incident waves

Three dimensional scattering of elastic waves by surface corrosion pits

Diffraction of plane P waves by a canyon of arbitrary shape in poroelastic half-space (I): Formulation

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