Reliability Analysis of Differential Settlement of Strip Footings by Stochastic Response Surface Method

Johari, A.; Sabzi, A.; Gholaminejad, A.

doi:10.1007/s40996-018-0114-3

Cited by 16 publications

(7 citation statements)

References 28 publications

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“…e RSM aims to construct a closed-form polynomial function [30], which is approximately equal to the actual limit state function in the region with the maximum contribution to the probability of failure. Reliability analysis can then be easily performed on this response surface.…”

Section: Iterative Response Surface Methodmentioning

confidence: 99%

“…e reliability calculation of the slope has been explored by many scholars. Based on the existing research, it can be found that the internal friction angle of the soil and the cohesive force are usually regarded as random variables in the reliability analysis of slopes, while other parameters are usually viewed as deterministic variables [29][30][31][32]. Two distribution types, namely, normal distribution and lognormal distribution, are taken into account for the random variables in this study.…”

Section: Random Variablesmentioning

confidence: 99%

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Reliability Analysis of Expansive Soil Slope Stability Based on the Three-Broken Line Model

Wang

Zuo

et al. 2021

Mathematical Problems in Engineering

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Based on the characteristics of an expansive soil slope, the slip mass can be simplified to a simpler model with three-broken line rigid bodies. A solution was formulated to calculate the safety factors of the slope, and the results are similar to those based on the strength reduction method. However, similar to conventional methods to analyze the stability of slopes, the deterministic method to obtain the safety factors only calculates the safety factor using deterministic values without considering the randomness of soil parameters, which leads to unstable results. To improve the rationality of the calculated results, this paper aims to construct a reliability analysis method based on the simplified three-broken line model of a landslide. The reliability is calculated with the response surface method in a spreadsheet with efficiency and convenience. The designed program considers the changes in the strength of the shallow soil and the depth of the strongly weathered layer for different stages of the wetting-drying cycles and solves for the probability of failure of the sliding surface at the interface between the strong and weak weathered layers. Considering an expansive soil slope as an example, the reliability of the slope was analyzed based on laboratory test data and the proposed formula. The results show that multiple wetting-drying cycles significantly increase the probability of failure of an expansive soil slope and that the slope typically becomes unstable after six wetting-drying cycles. Slope cutting helps alleviate the adverse effects of wetting-drying cycles.

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Section: Iterative Response Surface Methodmentioning

confidence: 99%

Section: Random Variablesmentioning

confidence: 99%

Reliability Analysis of Expansive Soil Slope Stability Based on the Three-Broken Line Model

Wang

Zuo

et al. 2021

Mathematical Problems in Engineering

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“…The proposed approach is in accordance with the upper bound theorem, and thus, the obtained bearing capacity must be treated as the upper limit of the true limit load. The proposed approach is limited to bearing capacity estimations and is not dedicated to serviceability limit states, e.g., Johari et al [30]. In the performed analyses, seismic loadings are not examined, and thus, the obtained results are reliable for a static scenario (this can influence the obtained results, e.g., [31]).…”

Section: Plos Onementioning

confidence: 99%

Evaluation of shallow foundation bearing capacity in the case of a two-layered soil and spatial variability in soil strength parameters

Chwała

Puła

2020

PLoS ONE

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In this study, a probabilistic approach for evaluating the bearing capacity of surface footings is discussed. The evaluation is based on a kinematic approach. The considered substrate consists of two different layers of soil: a top layer formed of medium or dense sand followed by a layer of soft clay. The sand layer is assumed to be homogenous, whereas the undrained shear strength of the soft clay layer is assumed to be spatially variable, described by a lognormal random field. The random field is discretized according to Vanmarcke's spatial averaging along dissipation regions in the considered failure mechanism. The mechanism utilizes plane strain conditions; however, due to consideration of the soil spatial variability in three dimensions, the impact of the length of the foundation on the random bearing capacity evaluation is considered in this study. As a result of the discretization procedure, a set of correlated random variables is obtained (each associated with an individual dissipation region in the failure mechanism). A series of numerical analyses are performed for two thicknesses of the first layer and a set of anisotropic correlation structures for the spatial variability of the undrained shear strength. The proposed method is computationally efficient and allows consideration of three-dimensional spatial variability in soil strength properties. The results are discussed and compared with those obtained by other methods.

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“…Thus, in the authors opinion, the basic result of these works, the bearing capacity of a strip foundation q [force/length 2 ], is well recognized, and can be adopted as a fundamental entry parameter to be used in the analytical models developed in this research. The proposed models are limited only to the estimation of the bearing capacity and are not devoted to the serviceability limit states, which are found in the works of other researchers [19,20].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of heavy machinery moving on weak subsoil. 3D FEM model vs. analytical models

Urbański,

Richter

2024

Archives of Civil Engineering

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In this paper, the authors present an extension of the scope of the previously conducted research to the full three-dimensional computer simulation (using the finite element method), which takes into account the interaction between: heavy caterpillar tracks system – working platform – weak subsoil. The article presents a computer model considering two caterpillars, resting on elastic-plastic sub-soil, with standard Mohr-Coulomb yield conditions, allowing for computer simulation of the behavior of the system up to achievement of ultimate limit state. The results of the above model are treated as the reference for a simplified Analytical Models of estimating the limit state, which might be used in design procedures. In turn, these Analytical Models are enhancements of previously presented one. The most important results concluding form the Analytical Model are simple interaction formulas, in the space of moments acting on the machine-subsoil system, limiting a domain of safety in given soil conditions.

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Reliability Analysis of Differential Settlement of Strip Footings by Stochastic Response Surface Method

Cited by 16 publications

References 28 publications

Reliability Analysis of Expansive Soil Slope Stability Based on the Three-Broken Line Model

Reliability Analysis of Expansive Soil Slope Stability Based on the Three-Broken Line Model

Evaluation of shallow foundation bearing capacity in the case of a two-layered soil and spatial variability in soil strength parameters

Stability analysis of heavy machinery moving on weak subsoil. 3D FEM model vs. analytical models

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