Effect of the Flow Rule on the Bearing Capacity of Strip Foundations on Sand by the Upper-Bound Limit Analysis and Slip Lines

Veiskarami, Mehdi; Kumar, Jyant; Valikhah, Fatemeh

doi:10.1061/(asce)gm.1943-5622.0000324

Cited by 62 publications

(16 citation statements)

References 43 publications

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“…This assumption is used for the sake of simplicity so as to exclusively examine the effect of surcharge loading on the limit state lateral earth pressure of geosynthetic-reinforced retaining structures. The assumption of the associated flow rule has also been effectively adopted in a majority of the previous FELA studies throughout the literature for the stability analysis of various geo-structures (Steedman and Zeng 1990;Lancellotta 2007;Bellezza et al 2012;Veiskarami et al 2017;Khatri 2019;Fathipour et al 2020Fathipour et al , 2021a; however, it is worth noting that increasing the dilation angle leads to the slight decrease in the values of active lateral earth pressures for the observed trends in this study (Veiskarami et al 2014;. Incorporation of the non-associated flow rule in the finite element limit analysis has not been systematically established in the literature so far.…”

Section: Methods Of Analysismentioning

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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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%

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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“…Apart from the abovementioned discussion, FELA have been commonly performed throughout the literature using the failure criterion following the associated flow rule. 20,21,38,43,[46][47][48][49][50][51][52][53][54][55][56][57]59 In particular, there exists no specific and efficient approach in the literature to account for the non-associated flow rule in the lower bound formulations. The non-associated flow rule should be implemented in the induced plastic strains; while the lower bound theorem does not take the induced strains into account and deals mainly with the stresses mobilized in the soil medium.…”

Section: Felamentioning

confidence: 99%

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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“…Fathipour et al [8] studied the active and passive earth pressures on the retaining structures having an unsaturated backfill. Other authors who studied the behaviour of associative and non-associative material and their effect on the behaviour of common geotechnical structures; i.e., Davis [9], Chen [10], Michalowski and Mróz [11], Drescher and Detournay [12], and Veiskarami et al [13]. However, in 2007, Michalowski [14] proposed a new formulation based on upper bound theorem of limit analysis to calculate the permanent displacements of slopes.…”

Section: Introductionmentioning

confidence: 99%

Influence of Dilation Angle of Soil on Seismic Displacements of Gravity Retaining Walls using Upper Bound Limit Analysis Method

Sharifi

Farzaneh

Askari

et al. 2020

NMCE

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In this paper, permanent displacements of gravity retaining walls with back and front fill under seismic excitation due to sliding is investigated. In this regard, by using the upper bound theorem of limit analysis, an expression is presented for obtaining the yield acceleration coefficient and also, critical angles of failure wedges are calculated. Several comparisons are made with other solutions in literature. Effect of variation of dilation angle and ratio of the height of front fill to backfill soil is evaluated on seismic performance of a gravity retaining wall. Results showed that by increasing dilation angles from zero to internal friction angle of the soil, the values of seismic displacement inclines.

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Effect of the Flow Rule on the Bearing Capacity of Strip Foundations on Sand by the Upper-Bound Limit Analysis and Slip Lines

Cited by 62 publications

References 43 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

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

Influence of Dilation Angle of Soil on Seismic Displacements of Gravity Retaining Walls using Upper Bound Limit Analysis Method

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