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
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Slope stability analysis by means of finite element limit analysis and finite element strength reduction techniques. Part I: Numerical studies considering non-associated plasticity
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Deformational responses of operated shield tunnel to extreme surcharge: a case study
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Three-dimensional undrained tunnel face stability in clay with a linearly increasing shear strength with depth
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Comparison of finite-element limit analysis and strength reduction techniques
TL;DR: In this paper, the authors compare the strength reduction method with rigorous limit analyses which are based on collapse theorems of plasticity, and investigate if a shortcoming of strength reduction methods, namely possible numerical instabilities for non-associ...
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Dag Kavlie,Johannes Moe +1 more
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