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

3 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

Access to Document

10.1016/j.proeng.2016.06.097Licence: CC BY

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Application of the Upper and Lower-bound Theorems to Three-dimensional Stability of Slopes'. Together they form a unique fingerprint.

Cite this

@article{3907ea1a66e54a2fbac5313e46281717,

title = "Application of the Upper and Lower-bound Theorems to Three-dimensional Stability of Slopes",

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.",

keywords = "Limit Analysis, Three-Dimensional Slope Stability, Parallelization, Finite Elements",

author = "Nuno Deusdado and Ant{\~a}o, {Armando N.} and Silva, {M{\'a}rio Vicente Da} and Nuno Guerra",

note = "Sem PDF.; 3rd International Conference on Transportation Geotechnics (ICTG), ICTG ; Conference date: 01-09-2016 Through 30-09-2016",

year = "2016",

doi = "10.1016/j.proeng.2016.06.097",

language = "English",

volume = "143",

pages = "674--681",

journal = "Procedia Engineering",

issn = "1877-7058",

publisher = "Elsevier",

}

TY - JOUR

T1 - Application of the Upper and Lower-bound Theorems to Three-dimensional Stability of Slopes

AU - Deusdado, Nuno

AU - Antão, Armando N.

AU - Silva, Mário Vicente Da

AU - Guerra, Nuno

N1 - Conference code: 3rd

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Limit Analysis

KW - Three-Dimensional Slope Stability

KW - Parallelization

KW - Finite Elements

UR - http://www.scopus.com/inward/record.url?scp=84982958600&partnerID=8YFLogxK

U2 - 10.1016/j.proeng.2016.06.097

DO - 10.1016/j.proeng.2016.06.097

M3 - Article

AN - SCOPUS:84982958600

VL - 143

SP - 674

EP - 681

JO - Procedia Engineering

JF - Procedia Engineering

SN - 1877-7058

T2 - 3rd International Conference on Transportation Geotechnics (ICTG)

Y2 - 1 September 2016 through 30 September 2016

ER -