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Limit-Equilibrium Analysis Using a Lateral Force as Functional

delete2023-05-01
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PRE
AI
Y
Yue Li
W
Wei‐Chau Xie
B
B. L. Ly
W
Weiya Xu *
C
Chuan-Hua Xu
DOI:10.1061/IJGNAI.GMENG-7927delete
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摘要

摘要

En 中文
A variational method, using a lateral force as a functional and incorporating equilibrium in-the-small, is proposed for limit equilibrium analysis, in which a conventional safety functional in the form of a quotient and the need to use the method of slices or Lagrange multipliers can be avoided. The lateral force is a real force acting on a retaining wall, but is a fictitious force in slope stability analysis. Furthermore, the fictitious force is related to the factor of safety. The force is a push, pull, or null when the slope is unstable, stable, or critical. By setting this lateral force to zero, a critical stability state can be obtained. The proposed variational method is capable of reproducing the classical solutions and yielding new useful analytical results. The proposed method can be a viable alternative technique, because of its effectiveness and ease of use is comparable to the conventional variational approaches.
Keyword:
Equilibrium in-the-small
Limit-equilibrium analysis
Variational calculus
Euler-Lagrange equation
Slope stability
Retaining wall

期刊

International Journal of Geomechanics 封面图
International Journal of Geomechanics
IF:
3.3
论文数:
3.6K
被引数:
1.1W

机构

H
Hohai University
学者数:
2.3W
论文数: 1.8W
被引数: 2.1W
U
University of Waterloo
学者数:
2.2W
论文数: 2.3W
被引数: 3.3W
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