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Genetic Algorithms in Searching the Critical Slip Surface

Sabhahit, N and Jacob, Sreeja and Madhav, Madhira R (2002) Genetic Algorithms in Searching the Critical Slip Surface. Indian Geotechnical Journal, 32 (2). pp. 86-101. ISSN 0046-8983

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Abstract

Evaluation of stability is essential prior to any construction involving natural or man-made slopes. Various methods are available to evaluate the stability of slopes. However, the limits equilibrium method has been used over the years because of its simplicity and reasonable accuracy. The limit equilibrium method consists of following two steps : (1) the formulation of objective function (expression for factor of safety which is a measure of stability of a particular trial slip surface), and (2) a search technique which finds the critical slip surface corresponding to the minimum factor of safety. A considerable research was carried out in the past to develop the expression for factor of safety for different shapes of slip surface. They are surveyed and described in several text books of Soil Mechanics and Foundation Engineering (e.g. Huang, 1983; Fang, 1997). Several traditional search techniques, such as calculus of variation (Baker and Garber, 1977; Castillo and Revilla, 1977, Ramamurthy et al. 1977) , linear programming (Martin, 1982), dynamic programming (Baker, 1980), simplex method (Nguyen, 1985) and sequential unconstrained minimization techniques (Bhowmik and Basudhar, 1989) are used by various investigators to locate the critical slip surface. The above search techniques are applied to locate the critical slip surface of both circular and noncircular shapes. Even though , some of the above methods are successfully applied to locate the critical slip surface, they do not guarantee the global minimum, often, the solution is starting point dependent, converging to local minimum and requires large number of function evaluations.

Item Type: Article
Subjects: Engineering > MIT Manipal > Civil Engineering
Depositing User: MIT Library
Date Deposited: 08 Sep 2011 04:57
Last Modified: 08 Sep 2011 04:57
URI: http://eprints.manipal.edu/id/eprint/1232

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