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,…
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699
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1Topics & keywords
Topics
Keywords
- Limit analysis
- Finite element method
- Geotechnical engineering
- Classification of discontinuities
- Stability (learning theory)
- Limit (mathematics)
- Boundary (topology)
- Plasticity
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