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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Upper-bound finite-element analysis of axisymmetric problems using a mesh adaptive strategy
TL;DR: A plastic-dissipation-based mesh adaptive algorithm is first introduced into the upper-bound finite-element method to determine the stability of axisymmetric problems using an equivalent plane strain model.
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Influence of valley geometry on stability of an earth dam
TL;DR: In this article, the authors assessed the influence of valley geometry on stability of an earth dam in terms of its static slope stability in a trapezoidal valley and derived the numerical model results for an earth dams sited in such a valley.
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Undrained Stability of Unsupported Rectangular Excavations: Anisotropy and Non-Homogeneity in 3D
TL;DR: In this article , the stability of unsupported rectangular excavations in undrained clays is examined under the influence of anisotropy and heterogeneity using the three-dimensional finite element upper and lower bound limit analysis with the Anisotropic Undrained Shear (AUS) failure criterion.
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Effect of using different approximation models to the exact Mohr–Coulomb material model in the FE simulation of Anchor Foundations in sand
TL;DR: In this article, the effect of singularities, embedment, shape, soil frictional as well as dilation angle on vertically uploaded shallow anchor foundations buried in Toyoura sand was investigated.
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Nonisothermal Failure Envelopes of Strip Shallow Foundations Resting on Partially Saturated Clay Subjected to Combined Inclined and Eccentric Loadings
TL;DR: In this article , the effect of temperature increase on the ultimate bearing capacity of strip shallow foundations resting on partially saturated clay layer subjected to vertical (V)-horizontal (H)-moment (M) combined loading is examined through a set of finite-element limit analyses (FELA) adopting lower bound theorems and second-order cone programming (SOCP).
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.
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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.