Finite Element Analysis of Random Soil Media

Righetti, Gianalberto; Harrop‐Williams, Kingsley

doi:10.1061/(asce)0733-9410(1988)114:1(59)

Cited by 33 publications

(6 citation statements)

References 7 publications

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“…Since the equivalent linear method uses the obtained shear strain to determine the initial shear modulus and damping ratio for the next iteration, the Figure 13. Comparison of mean values and STD of (STD of acceleration) (iteration" 6) error is cumulative. The results of polynomial chaos and the Neumann expansion get worse compared to the linear case.…”

Section: Resultsmentioning

confidence: 99%

Stochastic finite element methods for the seismic response of soils

Yeh

Rahman

1998

Int. J. Numer. Anal. Meth. Geomech.

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SUMMARYSome of the available stochastic finite element methods are adapted and evaluated for the analyses of response of soils with uncertain properties subjected to earthquake induced random ground motion. In this study, the dynamic response of a soil mass, with finite element discretization, is formulated in the frequency domain. The spectral density function of the response variables are obtained from which the evaluation of the root-mean-squared and the most probable extreme values of the response are made. The material non-linearities are incorporated by using strain compatible moduli and damping of soils using an equivalent linear model for stress-strain behaviour of soils and an iterative solution of the response. The spatial variability of the shear modulus is described through a random field model and the earthquake included motion is treated as a stochastic process. The available formulations of direct Monte-Carlo simulation, first-order perturbation method, a spectral decomposition method with Neumann expansion and a spectral decomposition method with Polynomial Chaos are used to develop stochastic finite element analyses of the seismic response of soils. The numerical results from these approaches are compared with respect to their accuracy and computational efficiency.1998 John Wiley & Sons, Ltd.

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Section: Resultsmentioning

confidence: 99%

Stochastic finite element methods for the seismic response of soils

Yeh

Rahman

1998

Int. J. Numer. Anal. Meth. Geomech.

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“…Many studies are available considering soil variability in the settlement analysis of foundations. Some of these include Vanmarcke (1977), Baker (1984), Righetti and Harrop-Williams (1988), Baker et al (1989), Baker and Zeitoun (1990), Zeitoun and Baker (1991), Mahmoud and El Tawil (1992), Paice et al (1996), Yeh and Rahman (1998), Kulhawy (1999a, 1999b), Bauer and Pula (2000), Guo and Weitsman (2002), Fenton and Griffiths (2002), Sivakugan and Johnson (2004), , , Niandou and Breysse (2007), Kashyap (2008, 2009), Fenton (2009), Jimenez andSitar (2009), Table 1 Summary of literature pertaining to deterministic analysis of shallow foundations on layered soil…”

Section: Stochastic Analysismentioning

confidence: 99%

Settlement of shallow footings on layered soil: state-of-the-art

Maheshwari

2014

International Journal of Geotechnical Engineering

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Shallow footings form the foundations of conventional structures like residential as well as industrial framed buildings and also other industrial structures like silos, chimneys, cooling towers, overhead tanks, etc. The foundations are checked both for shear failure and settlement criterion. Most of the conventional analyses consider the soil to be homogeneous, however, soil strata comprise of different soil layers with inherent variability. Several analytical, numerical, and experimental research works are available for the analysis of shallow footings on layered soil system. This paper presents comprehensive overview of literature pertaining to the settlement analysis of shallow foundations on layered soil system. It was aimed to provide all the references at one place to facilitate the research workers in this area. Deterministic as well as probabilistic studies have been compiled and it is felt that deterministic methods should be used in conjunction with the stochastic approaches for more rational analysis of shallow foundations on layered soils.

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“…The propagation of the uncertainty was performed either using the Monte Carlo method [17], which is very generic but usually time-consuming, or using approximate techniques [33,34,36,42,43,46,50,51] that are often restricted to small levels of variability. These approaches include the classical Neumann expansion [52] and first-order second moment [53] .…”

Section: Parametric Approachmentioning

confidence: 99%

Probabilistic impedance of foundation: Impact of the seismic design on uncertain soils

Cottereau

Clouteau

Soize³

2008

Earthq Engng Struct Dyn

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SUMMARYIn the linear seismic design of buildings, the (deterministic) substructure method is a customary and efficient approach. However, the existence of spatial variability in the parameters of the mechanical model of the soil, as well as parametric errors, calls for the use of probabilistic approaches in order to provide a reliable design of the structure. The construction of probabilistic models of the soil impedance matrix provides a natural path to such approaches within the context of the substructure method. Two main techniques are described in this paper: a parametric one, typically using the stochastic finite element method, and a nonparametric one, which was introduced more recently. The latter is explored more specifically, and the possibilities it offers in terms of seismic design are presented. In particular, it is shown that it allows for the estimation of quantiles of the quantities of interest, rather than confidence intervals, which lead to highly conservative design.

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Finite Element Analysis of Random Soil Media

Cited by 33 publications

References 7 publications

Stochastic finite element methods for the seismic response of soils

Stochastic finite element methods for the seismic response of soils

Settlement of shallow footings on layered soil: state-of-the-art

Probabilistic impedance of foundation: Impact of the seismic design on uncertain soils

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