Application of the Upper and Lower-bound Theorems to Three-dimensional Stability of Slopes

Nuno Deusdado; Armando N. Antão; Mário Vicente Da Silva; Nuno Guerra

doi:10.1016/j.proeng.2016.06.097

Application of the Upper and Lower-bound Theorems to Three-dimensional Stability of Slopes

Nuno Deusdado, Armando N. Antão, Mário Vicente Da Silva, Nuno Guerra

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

A finite element software implementing both the upper and the lower-bound theorems of limit analysis has been recently developed in the Civil Engineering Department of FCT/UNL. This tool has the ability to automatically determine compatible velocity fields for the upper-bound case and equilibrated and plastically admissible stress fields for the lower-bound case. The upper and lower bounds are obtained by a common iterative solution scheme. The latter is suitable for parallelization, allowing large three-dimensional problems to be solved more rapidly. These tools can therefore be applied to three-dimensional geotechnical problems such as 3D slope stability analyses. The paper will present a brief description of the algorithm and its application to three-dimensional slopes with different geometries and soil properties.

Original language	English
Pages (from-to)	674-681
Number of pages	8
Journal	Procedia Engineering
Volume	143
DOIs	https://doi.org/10.1016/j.proeng.2016.06.097
Publication status	Published - 2016
Event	3rd International Conference on Transportation Geotechnics (ICTG) - Guimarães, Portugal Duration: 1 Sep 2016 → 30 Sep 2016 Conference number: 3rd

Keywords

Limit Analysis
Three-Dimensional Slope Stability
Parallelization
Finite Elements

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10.1016/j.proeng.2016.06.097Licence: CC BY

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Deusdado, N., Antão, A. N., Silva, M. V. D., & Guerra, N. (2016). Application of the Upper and Lower-bound Theorems to Three-dimensional Stability of Slopes. Procedia Engineering, 143, 674-681. https://doi.org/10.1016/j.proeng.2016.06.097

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