Geotechnical stability analysis
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In this paper, the authors describe recent advances in stability analysis that combine the limit theorems of classical plasticity with finite elements to give rigorous upper and lower bounds on the failure load.Abstract:
This paper describes recent advances in stability analysis that combine the limit theorems of classical plasticity with finite elements to give rigorous upper and lower bounds on the failure load. These methods, known as finite-element limit analysis, do not require assumptions to be made about the mode of failure, and use only simple strength parameters that are familiar to geotechnical engineers. The bounding properties of the solutions are invaluable in practice, and enable accurate limit loads to be obtained through the use of an exact error estimate and automatic adaptive meshing procedures. The methods are very general, and can deal with heterogeneous soil profiles, anisotropic strength characteristics, fissured soils, discontinuities, complicated boundary conditions, and complex loading in both two and three dimensions. A new development, which incorporates pore water pressures in finite-element limit analysis, is also described. Following a brief outline of the new techniques, stability solutions ...read more
Citations
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Finite element limit analysis of bearing capacity of footing on back-to-back reinforced soil retaining walls
TL;DR: In this paper, the upper bound bearing capacity of footing on back-to-back-Mechanically Stabilized Earth (MSE) walls using the finite element limit analysis (FELA) method was analyzed.
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Bearing Capacity of Ring Foundations on Sand Overlying Clay
Chaowei Yang,Zhiren Zhu,Yao Xiao +2 more
TL;DR: In this article, the vertical bearing capacity of rough ring foundations resting on a sand layer overlying clay soil is computed by using finite element limit analysis (FELA), and design charts are provided for evaluating the ultimate bearing capacity.
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Investigation of Stability and Failure Mechanism of Undercut Slopes by Three-Dimensional Finite Element Analysis
TL;DR: In this paper, a 3D finite element analysis for the stability and failure mechanism of undercut slopes resting on a low interface friction plane is presented, and the effects of the side support and the slope length to increase the stability of undercut slope were considered.
Journal ArticleDOI
Computable majorants of the limit load in Hencky’s plasticity problems
TL;DR: A new method is proposed for analyzing the limit (safe) load of elastoplastic media governed by the Hencky plasticity law and deduce fully computable bounds of this load using a combination of kinematic approach and new estimates of the distance to the set of divergence free fields.
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Lower bound limit analysis of unsupported vertical circular excavations in rocks using Hoek‐Brown failure criterion
Jyant Kumar,Obaidur Rahaman +1 more
TL;DR: In this article, the stability of vertical unsupported circular excavations in rock media obeying generalized Hoek-Brown yield criterion was investigated by using the lower bound finite elements limit analysis, composed of a planar domain with a mesh of three-noded triangular elements.
References
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A simplex method for function minimization
John A. Nelder,R. Mead +1 more
TL;DR: A method is described for the minimization of a function of n variables, which depends on the comparison of function values at the (n 41) vertices of a general simplex, followed by the replacement of the vertex with the highest value by another point.
Journal ArticleDOI
An efficient method for finding the minimum of a function of several variables without calculating derivatives
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Free and moving boundary problems
TL;DR: In this paper, a front-tracking method is used to solve moving boundary problems and an analytical solution of seepage problems is proposed. But this method is not suitable for solving free boundary problems.