General failure envelope of eccentrically and obliquely loaded strip footings resting on an inherently anisotropic granular medium

Fathipour, Hessam; Payan, Meghdad; Chenari, Reza Jamshidi; Fatahi, Behzad

doi:10.1016/j.compgeo.2022.104734

Cited by 29 publications

(2 citation statements)

References 105 publications

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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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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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“…Failure envelopes for different types of foundations (e.g. strip (Bransby and Randolph, 1998; Fathipour et al, 2022), rectangular (Gourvenec and Randolph, 2003) and circular (Suryasentana et al, 2021) foundations), homogeneous (Taiebat and Carter, 2010) or non-homogeneous (He and Newson, 2022b; Wu et al, 2022) soils, and zero-tension (Shen et al, 2016) or unlimited-tension (Gourvenec and Randolph, 2003) interface conditions have been previously investigated under undrained soil conditions. These studies have been primarily confined to a single layer soil with a uniform or linearly increasing soil undrained shear strength profile.…”

Section: Introductionmentioning

confidence: 99%

Undrained capacity of circular shallow foundations on two-layer clays under combined VHMT loading

Newson

2023

Wind Engineering

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Wind turbines are typically designed based on fatigue and serviceability limit states, but still require an accurate assessment of bearing capacity. Overconsolidated clay deposits in Canada often have a thin layer of crust with a relatively high undrained shear strength. However, existing bearing capacity design methods do not consider surficial crusts. This paper studies the undrained VHMT (vertical, horizontal, moment, and torsional) failure envelope of circular foundations founded on a surficial crust underlain by a uniform soil using finite element analysis. Crust correction factors have been introduced to account for the effects of the stiff layer on the vertical and moment capacities. The same forms of equation that are used for uniform soils, but with different parameters provide satisfactory fits for the failure envelopes for a soil with a crustal layer. An analytical expression for the 4-D VHMT failure envelope is derived, and an application of this method is provided.

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Evaluation of the Active and Passive Pseudo-dynamic Earth Pressures using Finite Element Limit Analysis and Second-order Cone Programming

et al. 2023

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General failure envelope of eccentrically and obliquely loaded strip footings resting on an inherently anisotropic granular medium

Cited by 29 publications

References 105 publications

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

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

Undrained capacity of circular shallow foundations on two-layer clays under combined VHMT loading

Evaluation of the Active and Passive Pseudo-dynamic Earth Pressures using Finite Element Limit Analysis and Second-order Cone Programming

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