2.5D scattering of incident plane SV waves by a canyon in layered half-space

Ba, Zhenning; Liang, Jianwen

doi:10.1007/s11803-010-0040-2

Cited by 19 publications

(4 citation statements)

References 14 publications

(10 reference statements)

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“…As shown in Figure 10, a 3D semicylindrical canyon (radius

r = 100

m) lies in a two‐layered half‐space, and subjected to obliquely incident SV wave with

θ_{v} = 30^{\circ}

and

θ_{h} = 45^{\circ}

. In this study, we adopted the solutions obtained using the IBEM from Ba and Liang [ 16 ] for comparisons. Please note that the original problem is an infinite long canyon.…”

Section: Verification and Validationmentioning

confidence: 99%

“…Luco et al [12] and Luco and de Barros [3] investigated the 3D response of cylindrical canyon and valley in a layered half-space subjected to obliquely incident P, SV, and SH waves. Later the same problems were solved using direct [13,14] boundary element method (BEM) and indirect boundary element method [15,16] (IBEM). Bielak et al [17] utilized a local second-order impedance element to simulate the seismic SH wave propagation, which accounted for oblique incidence.…”

Section: Introductionmentioning

confidence: 99%

“…[ 12 ] and Luco and de Barros [ 3 ] investigated the 3D response of cylindrical canyon and valley in a layered half‐space subjected to obliquely incident P, SV, and SH waves. Later the same problems were solved using direct [ 13,14 ] boundary element method (BEM) and indirect boundary element method [ 15,16 ] (IBEM). Bielak et al.…”

Section: Introductionmentioning

confidence: 99%

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3D time‐domain nonlinear analysis of soil‐structure systems subjected to obliquely incident SV waves in layered soil media

Zhang

Taciroğlu

2021

Earthq Engng Struct Dyn

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Numerous experiments and prior analyses have confirmed that the angle of incidence of a seismic wave can significantly affect ground response and dynamic soil-structure interaction (SSI) behavior. Realistically, obliquely incident waves will be generated due to the soil heterogeneity and stratigraphy, which can lead into complex wave propagation and scattering patterns. In this study, we propose a novel methodology that (i) utilizes the wave potential theory to derive the 3D time-domain analytical solutions for free-field response under obliquely incident SV waves in layered soil media; (ii) makes use of high-fidelity numerical tools-namely, the domain reduction method (DRM) and the perfectly matched layers (PMLs)-to inject the obliquely incident waves into the domain of interest and to absorb the outgoing scattered motions, respectively; (iii) enables nonlinear time-domain site response and SSI analyses that feature an advanced constitutive model for soil. Finally, a 3D 20-story steel building is modeled as a case study. The building rests on a two-layer half-space and is subjected to an obliquely incident seismic wave. The SV wave's angles of incidence are varied to investigate its effects on structural responses, such as horizontal, vertical, and rotational floor accelerations, as well as interstory drift ratios.

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“…As shown in Figure 10, a 3D semicylindrical canyon (radius

r = 100

m) lies in a two‐layered half‐space, and subjected to obliquely incident SV wave with

θ_{v} = 30^{\circ}

and

θ_{h} = 45^{\circ}

. In this study, we adopted the solutions obtained using the IBEM from Ba and Liang [ 16 ] for comparisons. Please note that the original problem is an infinite long canyon.…”

Section: Verification and Validationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

3D time‐domain nonlinear analysis of soil‐structure systems subjected to obliquely incident SV waves in layered soil media

Zhang

Taciroğlu

2021

Earthq Engng Struct Dyn

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show abstract

“…Previous studies have shown that there are significant differences between 3D scattering and 2D scattering [39,40]. In recent years, some scholars have begun to study the 2.5D model [41][42][43][44][45], which has been used to respond to three-dimensional ground motion. However, the 2.5D model still assumes that the valley section is the same and that there is no spatial change in the terrain.…”

Section: Introductionmentioning

confidence: 99%

Amplification Effect of Ground Motion in Offshore Meandering Sedimentary Valley

Wang

Yan

Liu

et al. 2021

Shock and Vibration

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A sedimentary valley has a visible amplification effect on a seismic response, and the current 2D topographies cannot truthfully reflect the twists and turns of a large-scale river valley. Taking a sinusoidal curved valley site as a model, the dynamic finite element analysis method and the introduction of a viscoelastic artificial boundary were developed to study the 3D seismic response of the dimensional topographies in the homogeneous curved valley to vertical incident P, SV, and SH waves. The results showed that the bending sedimentary valley site earthquake presented significant features simultaneously, depending on the number of valley bends, the frequency of the excitations, the shear wave velocity of sedimentary soil, and the depth of the river valley. The surface displacement amplitudes of three-dimensional meandering sedimentary valleys are significantly different from those of sedimentary basins. The amplification area of the meandering valley is related to the angle between the valley axis and wave vibration direction, and the amplification effect is significant when the angle is small. The movement in the main direction showed a center focus, and the secondary y-direction displacement showed both a central focus and an edge effect. When the frequency of the incident wave was close to the natural vibration frequency in a specific direction, the movement in this direction significantly increased because of the resonance effect. The displacement amplitude of the surface was proportional to the depth of the river valley, and the surface displacement was presented in different forms based on the frequency of the excitations. The results provided some guidance for the earthquake resistance of the curved valley site.

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Scattering and diffraction of plane SH-waves by periodically distributed canyons

Liang

Zhang

2016

Earthq. Eng. Eng. Vib.

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A new method is presented to study the scattering and diffraction of plane SH-waves by periodically distributed canyons in a layered half-space. This method uses the indirect boundary element method combined with Green's functions of uniformly distributed loads acting on periodically distributed inclined lines. The periodicity feature of the canyons is exploited to limit the discretization effort to a single canyon, which avoids errors induced by the truncation of the infi nite boundary, and the computational complexity and the demand on memory can be signifi cantly reduced. Furthermore, the total wave fi elds are decomposed into the free fi eld and scattered fi eld in the process of calculation, which means that the method has defi nite physical meaning. The implementation of the method is described in detail and its accuracy is verifi ed. Parametric studies are performed in the frequency domain by taking periodically distributed canyons of semi-circular and semi-elliptic cross-sections as examples. Numerical results show that the dynamic responses of periodically distributed canyons can be quite different from those for a single canyon and signifi cant dynamic interactions exist between the canyons.

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2.5D scattering of incident plane SV waves by a canyon in layered half-space

Cited by 19 publications

References 14 publications

3D time‐domain nonlinear analysis of soil‐structure systems subjected to obliquely incident SV waves in layered soil media

3D time‐domain nonlinear analysis of soil‐structure systems subjected to obliquely incident SV waves in layered soil media

Amplification Effect of Ground Motion in Offshore Meandering Sedimentary Valley

Scattering and diffraction of plane SH-waves by periodically distributed canyons

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