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Limit-Equilibrium Analysis Using a Lateral Force as Functional
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DOI：10.1061/IJGNAI.GMENG-7927.png)
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Abstract
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.
Keywords:
Equilibrium in-the-small
Limit-equilibrium analysis
Variational calculus
Euler-Lagrange equation
Slope stability
Retaining wall
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3.3
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