Dynamic stress concentration for multiple multilayered inclusions embedded in an elastic half-space subjected to SH-waves

Sheikhhassani, Ramtin; Dravinski, Marijan

doi:10.1016/j.wavemoti.2015.11.002

Cited by 27 publications

(6 citation statements)

References 23 publications

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“…Substituting Equations ( 19), (20), and (21) into Equation ( 18) to derive the following two equations:…”

Section: Steady-state Response Of Inclusionmentioning

confidence: 99%

“…The inhomogeneity of medium is considered in the calculation process, which expands the research of complex medium. Sheikhhassani and Dravinski 20 derived a non‐hypersingular boundary integral equations to compute the stresses and α DSCF by using a weak form of Helmholtz equation. And using the method to evaluate dynamic stress concentration alone the interfaces of multiple multilayered inclusions embedded in an elastic half‐space when subjected to a plane SH‐wave.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic analysis of the different types of elliptic cylindrical inclusions subjected to plane SH‐wave scattering

Tao

Luo

et al. 2022

Math Methods in App Sciences

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The complex boundary of the elliptical inclusion rendered it difficult to solve the problem of wave scattering. In this study, the steady‐state response was analyzed using the wave function expansion method. Subsequently, the Ricker wavelet was employed as the transient disturbance, and Fourier transform was used to determine the distribution of transient dynamic stress concentration around the elliptical inclusion. The effects of wave number, elliptical axial ratio, and difference in material properties on the distribution of the dynamic stress concentration around the elliptical inclusion were evaluated. The numerical results revealed that the dynamic stress concentration always appeared at both ends of the major axis and minor axis of the elliptical inclusion, and the difference in material properties between the inclusion and medium influenced the variations in the dynamic stress concentration factor with the wave number and elliptical axial ratio.

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“…Substituting Equations ( 19), (20), and (21) into Equation ( 18) to derive the following two equations:…”

Section: Steady-state Response Of Inclusionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of the different types of elliptic cylindrical inclusions subjected to plane SH‐wave scattering

Tao

Luo

et al. 2022

Math Methods in App Sciences

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“…Therefore, the concrete plug structure of a diversion tunnel, mining backfill body, underground construction, and even the ore body in the rock stratum can be characterized as inclusions. Disturbances caused by earthquakes and blasting propagate in the form of stress waves in the rock strata, and scattering and dynamic stress concentrations occur in discontinuous structures, which lead to structural failure (Zhang et al 2011;Sheikhhassani and Dravinski 2016;Liu et al 2017;Li et al 2019).…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of an elliptic cylinder inclusion with imperfect interfaces subjected to plane SH wave

Luo

Tao

et al. 2023

Geomech. Geophys. Geo-energ. Geo-resour.

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Underground chambers or tunnels often contain inclusions, the interface between the inclusion and the surrounding rock is not always perfect, which influences stress wave propagation. In this study, the imperfect interface and transient seismic wave were represented using the spring model and Ricker wavelet. Based on the wave function expansion method and Fourier transform, an analytical formula for the dynamic stress concentration factor (DSCF) for an elliptical inclusion with imperfect interfaces subjected to a plane SH-wave was determined. The theoretical solution was verified via numerical simulations using the LS-DYNA software, and the results were analyzed. The effects of the wave number (k), radial coordinate (ξ), stiffness parameter (β), and differences in material properties on the dynamic response were evaluated. The numerical results revealed that the maximum DSCF always occurred at both ends of the elliptical minor axis, and the transient DSCF was generally a factor of 2–3 greater than the steady-state DSCF. Changes in k and ξ led to variations in the DSCF value and spatial distribution, changes in β resulted only in variations in the DSCF value, and lower values of ωp and β led to a greater DSCF under the same parameter conditions. In addition, the differences in material properties between the medium and inclusion significantly affected the variation characteristics of the DSCF with k and ξ.

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“…The application examples connect to recent seismic hazard research concerning amplification of incident plane SH (shear horizontal) waves, and related dynamic stress concentration, caused by 2D medium anomalies close to the surface. Single and multiple inclusions of various types have been considered [17][18][19], as well as topography irregularities [20] and alluvial valleys [21][22][23]. Numerical methods like the boundary-element method (BEM), which is used in several of the mentioned papers, are very flexible concerning variations of anomaly shape and type.…”

Section: Introductionmentioning

confidence: 99%

Coupled-mode separation of multiply scattered wavefield components in two-dimensional waveguides

Ivansson

2023

R. Soc. open sci.

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For a waveguide that is invariant in one of the horizontal directions, this paper presents a mathematically exact partial-wave decomposition of the wavefield for assessment of multiple scattering by horizontally displaced medium anomalies. The decomposition is based on discrete coupled-mode theory and combination of reflection/transmission matrices. In particular, there is no high-frequency ray approximation. Full details are presented for the scalar case with plane-wave incidence from below. An application of interest concerns ground motion induced by seismic waves, which may be severely amplified by local medium anomalies such as alluvial valleys. Global optimization techniques are used to design an artificial medium termination at depth for a normal-mode representation of the field. A derivation of a horizontal source array to produce an incident plane wave gives, as a by-product, an extension of a previous Fourier-transform relation involving Bessel functions. Like purely numerical methods, such as finite differences and finite elements, the method can handle all kinds of (two-dimensional) anomaly shapes.

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Dynamic stress concentration for multiple multilayered inclusions embedded in an elastic half-space subjected to SH-waves

Cited by 27 publications

References 23 publications

Dynamic analysis of the different types of elliptic cylindrical inclusions subjected to plane SH‐wave scattering

Dynamic analysis of the different types of elliptic cylindrical inclusions subjected to plane SH‐wave scattering

Dynamic response of an elliptic cylinder inclusion with imperfect interfaces subjected to plane SH wave

Coupled-mode separation of multiply scattered wavefield components in two-dimensional waveguides

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