Diffraction of Elastic Waves and Dynamic Stress Concentrations

Pao, Yih‐Hsing; Mow, C. C.; Achenbach, J. D.

doi:10.1115/1.3423178

Cited by 623 publications

(585 citation statements)

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“…Before the 1980s, most of the work published focused on dynamic stresses and wave dispersion characteristics, with very little being done on particle motions at a certain point (documented in an excellent monograph by Pao and Mow [1]). …”

Section: Introductionmentioning

confidence: 99%

3-D wave propagation in fluid-filled irregular boreholes in elastic formations

Tadeu

Santos

2001

Soil Dynamics and Earthquake Engineering

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Different seismic testing techniques rely on the propagation of acoustic waves in¯uid-®lled boreholes from sources placed within the borehole and in the solid media. The interpretation of the signals recorded relies on understanding how waves propagate in the borehole and its immediate vicinity. It is known that very complex wave patterns can arise, depending on the distance between the source and the receiver, and their placement and orientation relative to the axis of a circular borehole. The problem becomes more complex if the cross-section is not circular, conditions for which analytical solutions are not known. In this work, the Boundary Element Method (BEM) is used to evaluate the three-dimensional wave ®eld elicited by monopole sources in the vicinity of a¯uid-®lled borehole. This model is used to assess the effects of the receiver position on the propagation of both axisymmetric and non-axisymmetric wave modes when different borehole cross-sections are used. Both frequency vs. axial-wave number responses and time-domain responses are calculated. q

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Section: Introductionmentioning

confidence: 99%

3-D wave propagation in fluid-filled irregular boreholes in elastic formations

Tadeu

Santos

2001

Soil Dynamics and Earthquake Engineering

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“…In the absence of body forces, and disregarding the effects of the mean fluid flow velocity, the displacement equation of motion in an infinite 3-D elastic homogeneous medium can be written, in the frequency domain [7,8], as…”

Section: -D Problem Formulationmentioning

confidence: 99%

“…(4). For the waves generated at the external boundary, the corresponding potentials are equivalent to standing wavefields inside a circular cylinder, resulting from the sum of the incoming and outgoing waves [7], leading to the definition of the following potentials, which satisfy Eqs. (4):…”

Section: The Scattered Wave Field In the Solid Materialsmentioning

confidence: 99%

“…The Hankel functions of order n [7], H ð1Þ;ð2Þ n ðkrÞ cosðnyÞ; satisfy Eq. (5), representing cylindrical waves when combined with the implicit factor e Àiot : It may be found that H ð1Þ n ðkrÞ cosðnyÞ refers to converging or incoming waves, while H ð2Þ n ðkrÞ cosðnyÞ corresponds to diverging or outgoing waves.…”

Section: The Scattered Wave Field In the Outer Fluidmentioning

confidence: 99%

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Dynamic analysis of submerged fluid-filled pipelines subjected to a point pressure load

Godinho

Tadeu

Branco

2004

Journal of Sound and Vibration

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This paper analyses the wave scattering generated by point pressure loads in the vicinity of infinite fluidfilled circular pipelines submerged in a homogeneous fluid medium. The pipeline has a constant crosssection and is modelled as a homogeneous elastic material. The three-dimensional (3-D) response is formulated in the frequency domain, and is obtained as a discrete summation of the 2-D solutions found for different axial wavenumbers. Time solutions are computed by means of inverse Fourier transforms. Complex frequencies are used to avoid aliasing phenomena.The main focus of the paper is on the dynamic analysis of the stresses generated inside and at the surface of the pipeline by a point pressure load placed in the surrounding medium. Different positions of both the source and the receivers are considered. The effect of the relation of the wall thickness to the radius of the pipeline is also studied. r

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“…Some of the first analytical studies on wave diffraction and scattering focused on the wave motion and reverberations in alluvial basins of regular shape [9,10]. Other work has examined the wave scattering induced by cylindrical circular inclusions and single plane cracks [11][12][13][14][15][16]. Since these analytical approaches are only known for simple and regular geometries, most researchers have concentrated on developing numerical schemes.…”

Section: Introductionmentioning

confidence: 99%

The simulation of 3D elastic scattering produced by thin rigid inclusions using the traction boundary element method

Tadeu¹,

Amado-Mendes²,

António³

2006

Computers & Structures

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A mixed formulation that uses both the traction boundary element method (TBEM) and the boundary element method (BEM) is proposed to compute the three-dimensional (3D) propagation of elastic waves scattered by two-dimensional (2D) thin rigid inclusions. Although the conventional direct BEM has limitations when dealing with thin-body problems, this model overcomes that difficulty. It is formulated in the frequency domain and, taking into account the 2-1/2D configuration of the problem, can be expressed in terms of waves with varying wavenumbers in the z direction, k z . The elastic medium is homogeneous and unbounded and it should be noted that no restrictions are imposed on the geometry and orientation of the internal crack.

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Diffraction of Elastic Waves and Dynamic Stress Concentrations

Cited by 623 publications

References 0 publications

3-D wave propagation in fluid-filled irregular boreholes in elastic formations

3-D wave propagation in fluid-filled irregular boreholes in elastic formations

Dynamic analysis of submerged fluid-filled pipelines subjected to a point pressure load

The simulation of 3D elastic scattering produced by thin rigid inclusions using the traction boundary element method

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