Journal ArticleDOI
Variational analysis of earth pressure on a rigid earth-retaining wall
Maotian Luan,Toyoaki Nogami +1 more
TLDR
In this paper, a generalized limit equilibrium method was developed by using the variational technique, and the fundamental simultaneous equations finally obtained define the critical limit state, and its corresponding earth pressure on a rigid earth-retaining wall.Abstract:
Based on a combination of the conventional limit equilibrium approach and Lagrange's indeterminate multiplier procedure, a generalized limit equilibrium method is developed by using the variational technique. The fundamental simultaneous equations finally obtained define the critical limit state, and its corresponding earth pressure on a rigid earth-retaining wall is established. The developed formulations are verified by comparing the computed results with those computed by traditional approaches that are based on the limit condition in the backfill. Numerical results are given to demonstrate the present method. Comments are made relating this method to the most widely used methods in design practice.read more
Citations
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Journal ArticleDOI
Computation of passive earth pressure coefficients for a vertical retaining wall with inclined cohesionless backfill
TL;DR: In this article, a limit equilibrium based protocol for the evaluation of passive earth pressure coefficients for a vertical retaining wall resting against the inclined cohesionless backfill is proposed. But the proposed method is not suitable for the case of a horizontal backfill.
Journal ArticleDOI
Passive Earth Pressures on Retaining Walls for Pit-in-Pit Excavations
TL;DR: This paper presents a simplified approach for computing passive earth pressures for pit-in-pit excavations, and a parametric study is conducted to demonstrate that the mobilized passive earth pressure increases nonlinearly with the magnitude of wall movement and soil shear strength parameters.
Journal ArticleDOI
Variational calculus method for passive earth pressure on rigid retaining walls with strip surcharge on backfills
Shiguo Xiao,Pan Xia +1 more
TL;DR: In this paper, a variational calculus method is provided to calculate the passive earth pressure on the wall, which can quantitatively exhibit the influences of fundamental parameters on the force and corresponding critical slip surface.
Journal ArticleDOI
A simple approach based on the limit equilibrium method for evaluating passive earth pressure coefficients
TL;DR: In this paper, a numerical method is developed for evaluating critical passive earth pressure coefficients Kpγ for the case of an inclined rigid retaining wall resting against sloping cohesionless backfill.
Journal ArticleDOI
Determination of Passive Earth Pressure Coefficients for a Sloping Cohesive Backfill under Uniform Surcharge Loading
Shiyi Liu,Ming Li +1 more
TL;DR: In this paper, the logarithmic spiral theory considers curved failure surfaces, which is its greatest advantage compared to the Rankine and Coulomb passive earth pressure theories, and improves the logari...
References
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Book
Limit Analysis and Soil Plasticity
TL;DR: In this article, the authors present a reference record created on 2004-09-07, modified on 2016-08-08 and used for Geotechnique (generalites) reference record.
Journal ArticleDOI
Theoretical analysis of the stability of slopes
TL;DR: In this article, the problem of limiting equilibrium of a slope in a state of plane strain is formulated in terms of the variational calculus, and it is proven that the minimal factor of safety must occur on slip surfaces with a special geometrical property.
Book
Lectures on the Calculus of Variations
TL;DR: The first variation of the integral was introduced by Weierstrass as mentioned in this paper, and sufficient conditions for an extremum of this integral were established for the problem in parameter representation in terms of Kneser's theory.
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