Time-domain stochastic finite element simulation of uncertain seismic wave propagation through uncertain heterogeneous solids

Wang, Fangbo; Sett, Kallol

doi:10.1016/j.soildyn.2016.07.011

Cited by 16 publications

(6 citation statements)

References 53 publications

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“…Although the stochastic Galerkin method requires modification/redevelopment of the deterministic program, it can be shown that intrusive stochastic Galerkin method is advantageous over non-intrusive approaches in terms of computational efficiency (Xiu 2010). Recently, a time-domain intrusive stochastic elastic-plastic finite element method was developed by Sett et al (2011), Wang and Sett (2016) using stochastic Galerkin method. Developed methodology can incorporate non-Gaussian random field for uncertain material parameters and non-stationary random process for uncertain seismic loads, and perform stochastic seismic wave propagation analysis (Wang and Sett 2019).…”

Section: Introductionmentioning

confidence: 99%

A modular methodology for time-domain stochastic seismic wave propagation

Wang

Yang

et al. 2021

Computers and Geotechnics

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Section: Introductionmentioning

confidence: 99%

A modular methodology for time-domain stochastic seismic wave propagation

Wang

Yang

et al. 2021

Computers and Geotechnics

Self Cite

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“…Manktelow et al [5] proposed a perturbation analysis by using discretization finite element method to research wave motion in continuous and periodic structures. Wang and Sett [6] used the stochastic Galerkin method, where material parameters and mechanical functions are uncertain to solve the solid mechanics partial differential equation. Gravenkamp et al [7] resolved the results of high frequencies wave motion by using the following methods: scaled boundary finite element method and the nonuniform rational B-splines.…”

Section: Introductionmentioning

confidence: 99%

Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method

Xue

Wang

et al. 2020

Shock and Vibration

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A plane Hermitian wavelet finite element method is presented in this paper. Wave motion can be used to analyze plane structures with small defects such as cracks and obtain results. By using the tensor product of modified Hermitian wavelet shape functions, the plane Hermitian wavelet shape functions are constructed. Scale functions of Hermitian wavelet shape functions can replace the polynomial shape functions to construct new wavelet plane elements. As the scale of the shape functions increases, the precision of the new wavelet plane element will be improved. The new Hermitian wavelet finite element method which can be used to simulate wave motion analysis can reveal the law of the wave motion in plane. By using the results of transmitted and reflected wave motion, the cracks can be easily identified in plane. The results show that the new Hermitian plane wavelet finite element method can use the fewer elements to simulate the plane structure effectively and accurately and detect the cracks in plane.

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“…Darvini (2016) has analyzed the impact of the boundary conditions on flow and transport solutions for the case of a two-dimensional heterogeneous medium based on the stochastic FEM. Wang and Sett (2016) have presented an efficient numerical methodology in probabilistically solving the governing partial differential equation of solid mechanics using the stochastic FEM. Especially, some research has been conducted on the impacts of geotechnical material randomness on dam structural response.…”

Section: Introductionmentioning

confidence: 99%

Stochastic finite element analysis of rockfill dam considering spatial variability of dam material porosity

Hui

Liu

2019

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Purpose The purpose of this study is to develop a stochastic finite element method (FEM) to solve the calculation precision deficiency caused by spatial variability of dam compaction quality. Design/methodology/approach The Choleski decomposition method was applied to generate constraint random field of porosity. Large-scale laboratory triaxial tests were conducted to determine the quantitative relationship between the dam compaction quality and Duncan–Chang constitutive model parameters. Based on this developed relationship, the constraint random fields of the mechanical parameters were generated. The stochastic FEM could be conducted. Findings When the fully random field was simulated without the restriction effect of experimental data on test pits, the spatial variabilities of both displacement and stress results were all overestimated; however, when the stochastic FEM was performed disregarding the correlation between mechanical parameters, the variabilities of vertical displacement and stress results were underestimated and variation pattern for horizontal displacement also changed. In addition, the method could produce results that are closer to the actual situation. Practical implications Although only concrete-faced rockfill dam was tested in the numerical examples, the proposed method is applicable for arbitrary types of rockfill dams. Originality/value The value of this study is that the proposed method allowed for the spatial variability of constitutive model parameters and that the applicability was confirmed by the actual project.

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Time-domain stochastic finite element simulation of uncertain seismic wave propagation through uncertain heterogeneous solids

Cited by 16 publications

References 53 publications

A modular methodology for time-domain stochastic seismic wave propagation

A modular methodology for time-domain stochastic seismic wave propagation

Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method

Stochastic finite element analysis of rockfill dam considering spatial variability of dam material porosity

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