Multi‐directional transmitting boundaries for steady‐state SH waves

Liao, Zhenpeng; Yang, Guang

doi:10.1002/eqe.4290240305

Cited by 9 publications

(2 citation statements)

References 7 publications

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“…In this paper, the proposed measure for suppressing oscillation instability is inspired by the concept of a multidirectional transmitting formula (Liao et al, 1993). The fundamental concept of the multi-direction transmitting formula is that the scattering wave from various directions radiates to the artificial boundary.…”

Section: Fundamental Ideas Of Stabilization Measuresmentioning

confidence: 99%

Strategy for eliminating high-frequency instability caused by multi-transmitting boundary in numerical simulation of seismic site effect

Yang

Li²,

Rong³

et al. 2022

Front. Earth Sci.

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A multi-transmitting boundary is a local artificial boundary widely used for numerically simulating seismic site effects. However, similar to other artificial boundaries, the multi-transmitting boundary has instability issue in numerical simulation. Based on the concept of multi-directional transmitting formula, a strategy for eliminating the high-frequency instability of the transmitting boundary is studied and a measure is proposed using a neighbour node of a boundary node to realize smoothing filtering. The proposed measure is verified through numerical analysis. The smoothing coefficient chosen for this measure provides a reference for deriving the coefficient of multidirectional transmitting formula in the time domain.

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Section: Fundamental Ideas Of Stabilization Measuresmentioning

confidence: 99%

Strategy for eliminating high-frequency instability caused by multi-transmitting boundary in numerical simulation of seismic site effect

Yang

Li²,

Rong³

et al. 2022

Front. Earth Sci.

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“…It can calculate the 1D liquefiable site seismic response and analyze the dynamic reaction of saturated sand after liquefaction. In Soilresp1D, finite element and difference methods are applied, and the boundary condition is a multi-transmitting formula [49,50]. The initial conditions are:…”

Section: Time-domain Seismic Response Analysismentioning

confidence: 99%

Soil Dynamic Constitutive Considering Post-Liquefaction Deformation and Reversible Pore-Water Pressure

Qing

Zhou

et al. 2022

Sustainability

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In the seismic response analysis of liquefiable sites, the existing soil dynamic constitutive model is challenging to simulate saturated sand’s post-liquefaction deformation, and the current pore-water pressure buildup model cannot reflect the decrease in the actual pore-water pressure under unloading stress. We aim at these problems to propose a feasible and straightforward time-domain post-liquefaction deformation constitutive model through experimental analysis and theoretical research, consisting of reversible pore-water pressure. According to the dynamic triaxial test data, the regularities of large deformation stress and strain behavior of the saturated sand after liquefaction are obtained, and the corresponding loading and unloading criteria are summarized. Combined with the effective stress constitutive model proposed by the author, a soil dynamic constitutive that can describe saturated sand’s post-liquefaction deformation path is obtained. According to the test results, the model can simulate the deformation of saturated sand during the whole liquefaction process. The self-developed program Soilresp1D realized the dynamic response analysis of the liquefiable site, and the results were compared with the experimental results. It shows that the model based on the effective stress-modified logarithmic dynamic skeleton and post-liquefaction deformation constitutive can be directly applied to the dynamic response analysis of the liquefiable site.

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Stable Implementation of Transmitting Boundary in Numerical Simulation of Wave Motion

Liao

Zhou

Zhang

2002

Chinese J of Geophysics

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The numerical instability resulted from the transmitting boundary in numerical simulation of the near‐field wave motion is systematically discussed from a unified viewpoint that wave energy within the computational region might accumulate and increase unceasingly. Mechanisms of two types of the instability, namely, the high‐frequency oscillation and the zero‐frequency drift are then clarified as follows: the former results from amplification of high‐frequency waves, which are meaningless for numerical simulation of wave motion by finite elements or finite differences, reflected from the transmitting boundary, and from repeated amplifications of multiple reflection of the waves within the finite computational region; the latter results from that the boundary allows the wave components of zero or approximately zero frequencies, entering the computational region continuously. Therefrom, a practical and complete scheme is suggested for stable implementation of the transmitting boundary that includes two simple measures: (1) injecting small amount of damping into the entire computational region by the procedure presented in the paper to eliminate the high‐frequency oscillation, and (2) using an operator algorithm of clear physical meaning to eliminate the zero‐frequency drift. The implementation scheme is finally tested in detail by numerical experiments of three‐dimensional wave motions including a source problem and a scattering problem.

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Multi‐directional transmitting boundaries for steady‐state SH waves

Cited by 9 publications

References 7 publications

Strategy for eliminating high-frequency instability caused by multi-transmitting boundary in numerical simulation of seismic site effect

Strategy for eliminating high-frequency instability caused by multi-transmitting boundary in numerical simulation of seismic site effect

Soil Dynamic Constitutive Considering Post-Liquefaction Deformation and Reversible Pore-Water Pressure

Stable Implementation of Transmitting Boundary in Numerical Simulation of Wave Motion

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