Soil Spatial Variability and Structural Reliability of Buried Networks Subjected to Earthquakes

Elachachi, Sidi Mohammed; Breysse, Denys; Benzeguir, Hichem

doi:10.1007/978-90-481-9987-7_6

Cited by 7 publications

(6 citation statements)

References 8 publications

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“…Different methods of calculation can be used to study soil-structure interaction. For example, the finite element method has been used in numerous studies: Imanzadeh et al (2014) and Dubost et al (2011) studied soil-foundation interaction, Elachachi et al (2004Elachachi et al ( , 2011Elachachi et al ( , 2012 studied soil-pipe interactions, and foundation settlements on spatially random soil have been studied by Houy et al (2005), Fenton and Griffiths (2002). However, in order to simplify the soil-structure interaction, analytical approaches can be used (Deck and Singh 2012;Imanzadeh et al 2013a).…”

Section: Soil-shallow Foundation Modelmentioning

confidence: 97%

Settlement Uncertainty Analysis for Continuous Spread Footing on Elastic Soil

Imanzadeh¹,

Denis²,

Marache³

2014

Geotech Geol Eng

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In conventional design, continuous spread footings are always designed on the basis of their transverse behavior, where the natural variability of soil properties and any uncertainties in the geometrical and mechanical properties of the structure are usually not considered. In order to reveal the effects of these uncertainties and the soil variability on the behavior of spread footings, the longitudinal direction needed to be studied. Numerous mechanical models, which describe the soil-structure interaction as a beam on elastic foundation, were developed. The common parameter between these models is the subgrade reaction coefficient which depends on numerous parameters. In this paper, the FOSM method was used, first on four semi-empirical models which give the subgrade reaction coefficient, and secondly on the analytical solution of a beam from Winkler's hypothesis including different boundary conditions. Uncertainties in the subgrade reaction coefficient, differential settlement and bending moment were obtained for the following case: continuous wall footing in residential construction, where a low stiffness zone or shrinkage of clayey soil is possible. Results from a global uncertainty analysis demonstrated the major effects of uncertainties in soil modulus; Poisson's ratio and width of the spread footing on the uncertainty of the subgrade reaction coefficient, and thus on uncertainties of the differential settlement and bending moment. Finally, it was shown that when the soil modulus and geometrical dimensions of the foundations are uncertain and where a zone of weak soil or shrinkage of clayey soils are present, the longitudinal behavior of continuous spread footings for residential construction should also be considered in their design.

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Section: Soil-shallow Foundation Modelmentioning

confidence: 97%

Settlement Uncertainty Analysis for Continuous Spread Footing on Elastic Soil

Imanzadeh¹,

Denis²,

Marache³

2014

Geotech Geol Eng

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“…In fact, recent developments on the static analysis beam are documented in the article by Grigoriu et al [19] and Griffiths et al [20]. Moreover, an art of view of probabilistic soil modeling has been established [21] and various constitutive models of soil-structure interaction based on the probabilistic approach have been developed [22][23][24]. Elachachi et al [22,23] used the theory of Vanmarcke in order to quantify the effect of different random parameters of soil on the pipe response, by taking into account two different models of soil (Winkler and the modified Vlassov model).…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, an art of view of probabilistic soil modeling has been established [21] and various constitutive models of soil-structure interaction based on the probabilistic approach have been developed [22][23][24]. Elachachi et al [22,23] used the theory of Vanmarcke in order to quantify the effect of different random parameters of soil on the pipe response, by taking into account two different models of soil (Winkler and the modified Vlassov model). In this context Kazi Tani et al [25] presented stochastic finite difference method to study the linear response of pipeline resting on elastic perfectly plastic soil.…”

Section: Introductionmentioning

confidence: 99%

“…However, research efforts devoted to dynamic soil-structure interaction taking into consideration the random soil properties have been also very limited [23,[30][31][32][33][34]. Nedjar et al [30,31] and Elachachi et al [23] analyzed the dynamic deflection of the pipe resting on random soil by combining the theory of the local average of Vanmarcke to the Newmark formulations.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic and Probabilistic Analysis of Shear Deformable Pipeline Resting on Two Parameter Foundation

Seguini

Nedjar

2020

Period. Polytech. Civil Eng.

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The nonlinear dynamic deterministic and probabilistic analysis of pipeline undergoing large deflections and resting on Winkler-Pasternak foundation have been done. Dynamic analogues of Euler Bernoulli and Timoshenko Von-Kármán type beam equations are used. The stochastic finite element approach based on the Vanmarcke method combined to Monte Carlo simulations has been used to solve the governing nonlinear equations of soil-pipe interaction. The influence of different parameters of random soil is has been analyzed and the obtained results are compared with those obtained from the literature. It is concluded from the present work that the spatial variability of the soil properties has a great impact on the seismic response of the pipe and the developed model which is based on the accurate method is efficient to determine the real response of the safe and economic pipeline.

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“…The effect on the nonlinear behavior of the soil on the beam response has been also studied [34][35][36][37]. Furthermore, a series of papers appeared in the literature [42][43][44][45][46][47][48][49][50][51][52][53][54][55] where the effect of inherent random soil heterogeneity on beam response was assessed quantitatively and the heterogeneous soil characterized by its spatial properties (the mean, the coefficient of variation and the correlation length) is taken into account [38][39][40][41]. Grigoriu et al [42] analysed the response of beam on Winkler random soil.…”

Section: Introductionmentioning

confidence: 99%

Stochastic Finite Element Analysis of Nonlinear Beam on Winkler-Pasternack Foundation

Seguini

Nedjar

2018

Proceedings of the 1st International Conference on Numerical Modelling in Engineering

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A new model of soil-structure is developed for the probabilistic finite element analysis of flexible beam resting on spatially random nonlinear soil where the Monte Carlo simulations have been used for this purpose. In fact, the present work deals with the evaluation of the effect of the randomness soil's parameters on the nonlinear response of beam resting on nonlinear Winkler-Pasternack foundation. The nonlinear equations of motion are derived using the von-Kàrmàn's nonlinear strain-displacement relationships and have been solved by using the Newton-Raphson iteration method. In this study, the effects of large deflections, coefficient of subgrade reaction, shear deformation, type of foundation on the response of the beam are discussed and special attention is given to estimate the real behavior of the beam. A novelty in the analysis is that the heterogeneity of nonlinear soil is combined to the nonlinearity of beam by taking into account the shear effect where the soil's model's and the spatial variability of its parameters have a strong impact on the response of the structure.

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Soil Spatial Variability and Structural Reliability of Buried Networks Subjected to Earthquakes

Cited by 7 publications

References 8 publications

Settlement Uncertainty Analysis for Continuous Spread Footing on Elastic Soil

Settlement Uncertainty Analysis for Continuous Spread Footing on Elastic Soil

Dynamic and Probabilistic Analysis of Shear Deformable Pipeline Resting on Two Parameter Foundation

Stochastic Finite Element Analysis of Nonlinear Beam on Winkler-Pasternack Foundation

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