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Lower-Bound Limit Analysis of Seismic Passive Earth Pressure on Rigid Walls

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TLDR
In this paper, the static and seismic passive earth pressure coefficients for the general case of an inclined wall and a sloping cohesionless backfill were computed by using finite-element lower-bound limit analysis based on second-order cone programming (SOCP).
Abstract
Static and seismic passive earth pressure coefficients for the general case of an inclined wall and a sloping cohesionless backfill were computed by using finite-element lower-bound limit analysis based on second-order cone programming (SOCP). The comparison with the best existing upper-bound solution and the widely accepted solution obtained by the method of stress characteristics has shown that the present lower-bound solutions can provide a safe estimate of the passive earth pressures. Therefore, combining present results and upper-bound solutions can bracket the true value of passive earth pressures. In addition, design tables are presented that allow geotechnical engineers to easily use the present results in practice.

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Journal ArticleDOI

Model uncertainty of cylindrical shear method for calculating the uplift capacity of helical anchors in clay

TL;DR: In this article, a finite element limit analysis is used to remove the correlation between the model factor M for the cylindrical shear method, which is defined as a ratio between the measured capacities Qu,m and the capacities calculated from the cylinear shear, with the input parameters.
Journal ArticleDOI

Seismic passive earth resistance in submerged soils using modified pseudo-dynamic method with curved rupture surface

TL;DR: In this article, a closed-form solution to compute the seismic passive earth pressure on nonvertical rigid retaining wall retaining a backfill with full submergence is proposed using the modified pseudo-dynamic approach.
Journal ArticleDOI

Evaluation of seismic passive earth pressure of inclined rigid retaining wall considering soil arching effect

TL;DR: In this paper, the effect of different parameters on the seismic passive earth pressure is studied in details and the normal stress distribution along the depth of the backfill is found to be nonlinear in nature.
Journal ArticleDOI

Seismic passive earth resistance using modified pseudo-dynamic method

TL;DR: In this paper, the authors used the limit equilibrium method for estimation of critical seismic passive earth resistance for an inclined wall supporting horizontal cohesionless backfill, where the backfill soil is assumed to be a viscoelastic material overlying a rigid stratum and the rigid structure is subjected to a harmonic shaking.
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Determination of passive earth pressure coefficients using limit equilibrium approach coupled with the Kötter equation

TL;DR: In this paper, a numerical method was developed to evaluate the passive earth pressure coefficients for an inclined rigid retaining wall resting against a horizontal cohesionless backfill, and a composite failure surf...
References
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Book

Theoretical Soil Mechanics

Karl Terzaghi
Journal ArticleDOI

Lower bound limit analysis using finite elements and linear programming

TL;DR: In this article, a technique for computing lower bound limit loads in soil mechanics under conditions of plane strain is described, where a perfectly plastic soil model is assumed, which may be either purely cohesive or cohesive-frictional, together with an associated flow rule.
Journal ArticleDOI

Lower bound limit analysis using non-linear programming

TL;DR: This paper describes a new formulation, based on linear finite elements and non-linear programming, for computing rigorous lower bounds in 1, 2 and 3 dimensions, and is shown to be vastly superior to an equivalent formulation that is based on a linearized yield surface and linear programming.
Journal ArticleDOI

Upper bound limit analysis using linear finite elements and non-linear programming

TL;DR: In this paper, a new method for computing rigorous upper bounds on the limit loads for one-, two-and three-dimensional continua is described, which is based on linear finite elements.
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Lower bound limit analysis of cohesive‐frictional materials using second‐order cone programming

TL;DR: In this article, the authors present a method for obtaining strict lower bound solutions using second-order cone programming (SOCP), for which efficient primal-dual interior-point algorithms have been developed.
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