Evaluation of the pseudo-dynamic bearing capacity of surface footings on cohesionless soils using finite element lower bound limit analysis

Siahmazgi, Amirhossein Safardoost; Fathipour, Hessam; Chenari, Reza Jamshidi; Veiskarami, Mehdi; Payan, Meghdad

doi:10.1080/17486025.2021.1889686

Cited by 31 publications

(3 citation statements)

References 48 publications

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“…Accordingly, initially suggested by Lysmer (1970) and Anderheggen and Knöpfel (1972) and then upgraded by Sloan (1988), the limit analysis using finite element discretization methods and linear programming has been adopted in several studies to capture the limit state loadings of complex geo-structures. In more recent studies, the nonlinear programming of the finite element limit analysis (secondorder cone programming, SOCP) has also been developed and exploited in several stability analyses (Lyamin and Sloan 2002;Makrodimopoulos and Martin 2006;Krabbenhøft et al 2008;Fathipour et al 2020Fathipour et al , 2021aSafardoost Siahmazgi et al 2021). To shed further light on the matter, with this method, the original nonlinear form of the Mohr-Coulomb yield function in terms of the normal and shear stresses has been modelled and utilized in the FELA formulations so as to show more realistic soil responses (Krabbenhøft et al 2008;Fathipour et al 2020Fathipour et al , 2021a.…”

Section: Methods Of Analysismentioning

confidence: 99%

“…The active state of the nodal stresses throughout the domain is obtained by maximizing the unknown variables as Maximize({ ;z}) subjected to the above-mentioned constraints. Further details of the adopted approach could be found in some previous studies, including Makrodimopoulos and Martin (2006), Krabbenhøft et al (2008), Ukritchon andKeawsawasvong (2018, 2019a, b, c), Fathipour et al (2020Fathipour et al ( , 2021a Safardoost Siahmazgi et al (2021) and Mirmoazen et al (2021). For better illustration of the superiority of the FELA formulations over the finite element (FE), limit equilibrium (LE) and other stability analysis techniques, the readers are referred to the several previous studies in this area (Fathipour et al 2021b, among others).…”

Section: Socp Optimizationmentioning

confidence: 99%

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Limit Analysis of Lateral Earth Pressure on Geosynthetic-Reinforced Retaining Structures Subjected to Strip Footing Loading Using Finite Element and Second-Order Cone Programming

Mirmoazen

Lajevardi

Mirhosseini

et al. 2021

Iran J Sci Technol Trans Civ Eng

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Stability of reinforced retaining structures under a variety of surficial loadings is of particular significance in geotechnical engineering practice. In the current study, adopting the well-established lower-bound limit analysis in conjunction with the finite element discretization method and second-order cone programming, a rigorous numerical study is carried out to evaluate the active lateral earth pressure on geosynthetic-reinforced retaining walls subjected to overlying strip footing loadings. The significant influence of the length (L e ) and number (n) of reinforcement layers, load intensity (q), width of strip footing (B) and its distance from the wall (a) on the lateral earth pressure is examined. It is shown that using reinforcements longer than a specific length fails to have any further significant contributions to the wall stability. With the increase in load intensity and width of the strip footing, the reinforcements are found to be further effectual in reducing the rate of increase in the value of active earth pressure coefficient. Moreover, the reinforcements are observed to be more effective in enhancing the rate of decrease in the earth pressure coefficient with the increase in the foundation-wall distance, up to a threshold value, beyond which they show the reverse influence.Keywords Lateral earth pressure • Geosynthetic-reinforced wall • Lower-bound • Finite element limit analysis (FELA) • Second-order cone programming (SOCP)

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Section: Methods Of Analysismentioning

confidence: 99%

Section: Socp Optimizationmentioning

confidence: 99%

Limit Analysis of Lateral Earth Pressure on Geosynthetic-Reinforced Retaining Structures Subjected to Strip Footing Loading Using Finite Element and Second-Order Cone Programming

Mirmoazen

Lajevardi

Mirhosseini

et al. 2021

Iran J Sci Technol Trans Civ Eng

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“…The lower bound theorem of FELA has been employed in this study to evaluate the seismic bearing capacity of such a surface footing. The corresponding approach seeks the lower bound of the actual collapse load of the foundation by accounting for an admissible stress field within the soil medium underneath using either linear programming (LP) or second-order cone programming (SOCP) techniques [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Finite Element Limit Analysismentioning

confidence: 99%

Probabilistic Assessment of Seismic Bearing Capacity of Strip Footings Seated on Heterogeneous Slopes Using Finite Element Limit Analysis (FELA) and Response Surface Method (RSM)

Fathipour¹,

Javankhoshdel²,

Abolfazlzadeh³

et al. 2023

Proceedings of the TMIC 2022 Slope Stability Conference (TMIC 2022)

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The paper demonstrates the use of the response surface method (RSM) to carry out probabilistic assessment of the seismic bearing capacity of shallow footings seated near naturally occurring heterogeneous slopes. To this end, a pseudo-static loading is applied to a randomly uniform slope, which is homogeneous in each case but random between realizations. The method substantially reduces the number of Monte Carlo simulations required to carry out cumbersome probabilistic slope stability analyses. A finite element limit analysis model based on the lower bound theorem is developed, which is then used to generate a large synthetic database of numerical results for the seismic bearing capacity of shallow foundations resting on inherently variable natural slopes. To this end, a permutation of the key parameters is formed and lower bound FELA-based limit loads are sought through optimization in MATLAB. A closed-form solution is formulated using RSM-based polynomials. The RSM equations, which are acquired from least squares regression analyses, are used to carry out probabilistic Monte Carlo simulations and the results are presented in forms of cumulative distribution functions. Results from the probabilistic analyses are introduced into some reliability-based design approach to render design loads for different reliability levels.

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Lower bound analysis of modified pseudo‐dynamic lateral earth pressures for retaining wall‐backfill system with depth‐varying damping using FEM‐Second order cone programming

Fathipour

Payan

Chenari

et al. 2021

Num Anal Meth Geomechanics

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Realistic constitutive ground models are critical in the evaluation of soilstructure interaction problems and the assessment of key design parameters in the seismic analysis of infrastructure systems. In the present study, the modified pseudo-dynamic lateral earth pressures acting on retaining structure with granular backfill of depth-varying damping ratio are evaluated adopting the lower bound limit analysis in conjunction with the finite element (FE) discretization method using second-order cone programming (SOCP). The earthquake loading is simulated by the propagation of shear and primary waves through nonconstant inertia forces in the horizontal and vertical directions, respectively. The influence of varying damping ratio alongside the retaining wall height on the seismic active and passive lateral earth pressures is effectively taken into account by adopting well-established formulas published in the literature. It is shown that failing to consider the damping variation with depth while performing the modified pseudo-dynamic analysis could lead to precarious, unrealistic estimates of design parameters. K E Y W O R D Sfinite element limit analysis (FELA), lateral earth pressure, lower bound, material damping, modified pseudo-dynamic method, second-order cone programming (SOCP)

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Evaluation of the pseudo-dynamic bearing capacity of surface footings on cohesionless soils using finite element lower bound limit analysis

Cited by 31 publications

References 48 publications

Limit Analysis of Lateral Earth Pressure on Geosynthetic-Reinforced Retaining Structures Subjected to Strip Footing Loading Using Finite Element and Second-Order Cone Programming

Limit Analysis of Lateral Earth Pressure on Geosynthetic-Reinforced Retaining Structures Subjected to Strip Footing Loading Using Finite Element and Second-Order Cone Programming

Probabilistic Assessment of Seismic Bearing Capacity of Strip Footings Seated on Heterogeneous Slopes Using Finite Element Limit Analysis (FELA) and Response Surface Method (RSM)

Lower bound analysis of modified pseudo‐dynamic lateral earth pressures for retaining wall‐backfill system with depth‐varying damping using FEM‐Second order cone programming

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