Rayleigh wave scattering by a wedge

Budaev, Bair V.; Bogy, David B.

doi:10.1016/0165-2125(95)00023-c

Cited by 50 publications

(45 citation statements)

References 9 publications

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“…On the other hand, a number of works has been published where the Rayleigh wave scattering problem in isotropic substrate is solved exactly. In a part of the papers the boundary-value problem is first reduced with help of fairly involved evaluations to integral equations that are eventually solved numerically [9][10][11][12][13][14][15][16][17][18]. In the other papers the wave equations are directly solved by a numerical method: finite difference method [19], boundary element method [20], mixed finite element/finite difference method in time domain [21].…”

Section: Introductionmentioning

confidence: 99%

Surface acoustic wave reflection/transmission at vertical borders of piezoelectric substrates

2015

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Section: Introductionmentioning

confidence: 99%

Surface acoustic wave reflection/transmission at vertical borders of piezoelectric substrates

2015

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“…The reflection and transmission coefficients for Rayleigh wave scattered by a wedge and for love wave propagating in a welded-contacted solid-solid interface have been researched. [24][25][26] The continuous boundary condition and conservation of energy should be satisfied to obtain these coefficients. Fortunately, when Rayleigh wave is generated by an obliquely incident longitudinal wave, a transmission coefficient is developed to make sure that the pressures in the wedge are the same as those acting on the specimen from below at the interface.…”

Section: Aip Advances 7 015005 (2017)mentioning

confidence: 99%

Modeling linear Rayleigh wave sound fields generated by angle beam wedge transducers

Zhang

Jeong

et al. 2017

AIP Advances

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In this study, the reciprocity theorem for elastodynamics is transformed into integral representations, and the fundamental solutions of wave motion equations are obtained using Green’s function method that yields the integral expressions of sound beams of both bulk and Rayleigh waves. In addition to this, a novel surface integral expression for propagating Rayleigh waves generated by angle beam wedge transducers along the surface is developed. Simulation results show that the magnitudes of Rayleigh wave displacements predicted by this model are not dependent on the frequencies and sizes of transducers. Moreover, they are more numerically stable than those obtained by the 3-D Rayleigh wave model. This model is also applicable to calculation of Rayleigh wave beams under the wedge when sound sources are assumed to radiate waves in the forward direction. Because the proposed model takes into account the actual calculated sound sources under the wedge, it can be applied to Rayleigh wave transducers with different wedge geometries. This work provides an effective and general tool to calculate linear Rayleigh sound fields generated by angle beam wedge transducers.

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“…Achenbach (Achenbach 1970) studied the transient wave propagation problem in wedge space, considering spatially uniform shear tractions applied to one or both faces of the wedge. Knopoff (1969), Budaev and Bogy (1995) and Gautesen (2002) have investigated the wave reflection and transmission coefficients of the free field in elastic wedge space by numerical or experimental method. Moreover, Li and Gong studied the reflection and transmission of obliquely incident Rayleigh wave in two adjacent rectangular space (Li and Gong 1998).…”

Section: Introductionmentioning

confidence: 99%

An IBEM solution to the scattering of plane SH-waves by a lined tunnel in elastic wedge space

Liu

2015

Earthq Sci

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The indirect boundary element method (IBEM) is developed to solve the scattering of plane SH-waves by a lined tunnel in elastic wedge space. According to the theory of single-layer potential, the scattered-wave field can be constructed by applying virtual uniform loads on the surface of lined tunnel and the nearby wedge surface. The densities of virtual loads can be solved by establishing equations through the continuity conditions on the interface and zero-traction conditions on free surfaces. The total wave field is obtained by the superposition of free field and scattered-wave field in elastic wedge space. Numerical results indicate that the IBEM can solve the diffraction of elastic wave in elastic wedge space accurately and efficiently. The wave motion feature strongly depends on the wedge angle, the angle of incidence, incident frequency, the location of lined tunnel, and material parameters. The waves interference and amplification effect around the tunnel in wedge space is more significant, causing the dynamic stress concentration factor on rigid tunnel and the displacement amplitude of flexible tunnel up to 50.0 and 17.0, respectively, more than double that of the case of half-space. Hence, considerable attention should be paid to seismic resistant or anti-explosion design of the tunnel built on a slope or hillside.

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Rayleigh wave scattering by a wedge

Cited by 50 publications

References 9 publications

Surface acoustic wave reflection/transmission at vertical borders of piezoelectric substrates

Surface acoustic wave reflection/transmission at vertical borders of piezoelectric substrates

Modeling linear Rayleigh wave sound fields generated by angle beam wedge transducers

An IBEM solution to the scattering of plane SH-waves by a lined tunnel in elastic wedge space

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