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Jie, M.; Chen, C. Y.; Zhang, J. J.

General stability of two-dimensional slopes based on Sarma’s method. (English) Zbl 0938.74046

Int. J. Numer. Anal. Methods Geomech. 23, No. 5, 413-426 (1999).
Summary: Sarma’s method of taking a fictitious accerelation as a measure of safety [S. K. Sarma, Geotechnique, 23, 423-433 (1973)] 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 for 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 results available in the literature.

MSC:

74L10 Soil and rock mechanics
74G60 Bifurcation and buckling

Keywords:

stability; Sarma’s method; fictitious accerelation; two-dimensional slope; Sarma’s acceleration
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References:

[1] Sarma, Geotechnique 23 pp 423– (1973)
[2] Sarma, Geotechnique 24 pp 661– (1974)
[3] Sarma, J. Geotech. Engng. ASCE 105 pp 1511– (1979)
[4] ’General two-dimensional slope stability analysis’, Analytical and Computational Methods in Engineering Rock Mechanics, Allen Unwin, London, 1987, pp. 95-128.
[5] Bishop, Geotechnique 5 pp 7– (1955)
[6] Morgenstern, Geotechniue 15 pp 79– (1965)
[7] ’Earth pressures and bearing capacity calculations by generalized procedure of slices’, Proc. 4th Int. Conf. Soil Mech. Fdn. Engng. Vol. 2, 1957, pp. 207-212.
[8] , and , Introduction to Linear Algebra, 2nd edn, Addition-Wesley, Reading MA, 1989, pp. 399-401.
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