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General stability of two‐dimensional slopes based on Sarma's method
Author(s) -
Jie M.,
Chen C. Y.,
Zhang J. J.
Publication year - 1999
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/(sici)1096-9853(19990425)23:5<413::aid-nag978>3.0.co;2-0
Subject(s) - stability (learning theory) , mathematics , geotechnical engineering , geology , computer science , machine learning
Sarma's method of taking a fictitious accerelation as a measure of safety is used to study a two‐dimensional slope. The slope is divided into arbitrary slices. The relations among forces acting on the slices and Sarma's acceleration are assumed to be linear. Consequently, a general analytical expression of Sarma's acceleration is derived by means of Cramer's rule. Furthermore, for four commonly used slice methods with simple relations among the forces on each slice and Sarma's acceleration, a general closed‐form solution of Sarma's acceleration is given. An example is calculated and the results agree well with those of Hoek. Copyright © 1999 John Wiley & Sons, Ltd.