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Random finite element method for the seismic analysis of gravity dams
Engineering Structures, 2018Abstract The seismic response of gravity dams is typically derived under a deterministic finite element model for the dam-reservoir-foundation system. In the case where uncertainty in material properties should be incorporated into overall dam performance, the sensitive parameters can be treated as random variables. This paper presents the results of
M.A. Hariri-Ardebili +4 more
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A consistent finite element method for random response problems
Computers & Structures, 1972Abstract A consistent finite element method for analysing the random response of complex structures is developed. The method is based on the standard modal approach but using the mode shapes obtained from a finite element representation of the structure.
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Multiscale Stochastic Finite Element Method on Random Boundary Value Problems
2010In this paper, we present a novel Multiscale Stochastic Finite Element Method (MSFEM) to solve boundary value problems involving random heterogeneous materials. The Green-function-based MSFEM decomposes a boundary value problem into three subproblems at three length scales with each being solved with reduced computational cost.
Lihua Shen, X. Frank Xu
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Analysis of the Stability of Thawing Slopes by Random Finite Element Method
Transportation Research Record: Journal of the Transportation Research Board, 2019A significant number of landslides occur in cold regions because of freezing and thawing cycles. The instability of thawing slopes can cause serious damage to transportation infrastructure and property, and even loss of human life. This type of landslide is difficult to analyze by the traditional limit-equilibrium methods, however, because of the ...
Shaoyang Dong, Xiong (Bill) Yu
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The Random Finite Element Method (RFEM) in Slope Stability Analysis
2007The paper investigates the probability of failure of a cohesive slope using both simple and more advanced probabilistic analysis tools. The influence of local averaging on the probability of failure of a test problem is thoroughly investigated. In the simple approach, classical slope stability analysis techniques are used, and the shear strength is ...
D.V. Griffiths, Gordon A. Fenton
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Stochastic finite element methods for partial differential equations with random input data
Acta Numerica, 2014The quantification of probabilistic uncertainties in the outputs of physical, biological, and social systems governed by partial differential equations with random inputs require, in practice, the discretization of those equations. Stochastic finite element methods refer to an extensive class of algorithms for the approximate solution of partial ...
Max D. Gunzburger +2 more
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Stochastic Finite Element Method for Nonlinear Dynamic Problem with Random Parameters
Advanced Materials Research, 2011Several algorithms were proposed relating to the development of a framework of the perturbation-based stochastic finite element method (PSFEM) for nonlinear dynamic problem with random parameters, for this purpose, based on the stochastic virtual work principle , some algorithms and a framework related to SFEM have been studied. An interpolation method
Qing Wang, Yang Cao
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The Random Finite Element Method (RFEM) in Bearing Capacity Analyses
2007In this chapter, soils with spatially varying shear strengths are modeled using random field theory and elasto-plastic finite dement analysis to evaluate the extent to which spatial variability and cross-correlation in soil properties (c and ϕ) affect bearing capacity.
Gordon A. Fenton, D.V. Griffiths
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Size Effect of Random Field Elements on Finite-Element Reliability Methods
1991The structural reliability analysis is formulated based on two fundamental assumptions: (1) the state of the structure is defined in the outcome space of a vector of basic random variables; (2) the structure can be in one of two states, the safe state or the failure state.
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The Random Finite Element Method (RFEM) in Steady Seepage Analysis
2007The effect of stochastic soil permeability on confined seepage occurring beneath water retaining structures has been studied. Random field concepts for the generation of soil permeability properties with a fixed mean, standard deviation and spatial correlation structure, have been combined with finite element methods to perform Monte Carlo simulations ...
D.V. Griffiths, Gordon A. Fentont
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