ANALYTICAL PROCEDURE FOR SLOPE STABILITY CALCULATION USING RIGID-PLASTIC MODEL

The problem of slope stability of natural and artificial embankments is explained. A brief review of popular methods of slope stability calculation (in terms of embankments and excavations) is given with their key advantages and shortcomings. A feature of each method is the number of included equations of equilibrium. This article proposes a procedure for solving the problem on slope stability using a rigid-plastic model to describe the processes of instability and shearing. The procedure provides solution of a system composed of two or three equations derived by the author of this article. Alongside with the slope geometry and physical and mechanical properties of soil, a function of instability is set, and the solution is found in the form of this function. The algorithm of the problem solution using the proposed procedure is described. The feature of this procedure is the problem solution in the form of an analytically preset rather than piecewise-linear function. The procedure implementation is illustrated in terms of a vertical slope.

Keywords

Slope, embankment, excavation, stability, analytical solution.

Issue number: 2
Year: 2019
ISBN: 624.137
UDK:
DOI: 10.25018/0236-1493-2019-02-0-20-27
Authors: Kostenko B. V.

About authors: Kostenko B.V., Graduate Student, Saint Petersburg Mining University, 199106, Saint-Petersburg, Russia, Engineer, Open Stock Company Scientific, Research, Design and Surveying Institute «Lenmetrogiprotrans», 191002, Saint-Petersburg, Russia, e-mail: polo_olop@mail.ru.

REFERENCES:

1. Dalmatov B. I. Mekhanika gruntov, osnovaniya i fundamenty (vklyuchaya spetsial'nyy kurs inzhenernoy geologii). 2-e izd. [Mechanics of soils, basements and foundations (including special geotechnical engineering course). 2nd edition], Leningrad, Stroyizdat, 1988, 415 p.

2. Fedorenko E. V. Metod rascheta ustoychivosti putem snizheniya prochnostnykh kharakteristik [Me-
thod of calculating stability by reducing strength characteristics]. Transport Rossiyskoy Federatsii. Zhurnal o nauke, praktike, ekonomike. 2013, no 6, pp. 24—26. [In Russ].

3. Rekomendatsii po vyboru metodov rascheta koeffitsienta ustoychivosti sklona i opolznevogo davleniya [Recommendations on selection of methods of slope stability and land slide pressure calculation], Moscow, TSBNTI Minmontazhspetsstroya SSSR, 1986, 123 p.

4. Lekhanova K. V., Novodzinskiy A. L. Sravnenie chislennykh i analiticheskikh metodov rascheta ustoychivosti gruntovykh otkosov [Comparison of numerical and analytical methods of soil slope stability calculation], Vestnik Permskogo natsional'nogo issledovatel'skogo politekhnicheskogo universiteta. Stroitel'stvo i arkhitektura. 2011, no 1, pp. 45—50. [In Russ].

5. Bishop A. W. The use of the slip circle in the stability analysis of slopes. Geotechnique, 1955. Vol. 5, pp. 7—17.

6. Fellenius W. Calculation of the stability of earth dams, Trans. 2nd Cong. on Large Dams, 1936, Vol. 4, p. 445.

7. Spencer E. A method of analysis of the stability of embankment assuming parallel inter-slice forces.Geotechnique. 1967. Vol. 17. Pp. 11.

8. Albataineh N. Slope stability analysis using 2d and 3d methods. The graduate faculty of the university of Akron. 2006. 143 p.

9. Zhabko A. V. Analiticheskaya geomekhanika [Analytical geomechanics], Ekaterinburg, Izd-vo UGGU, 2016, 224 p.

10. Kaspar'yan E. V., Kozyrev A. A. Geomekhanicheskie problemy pri otkrytykh gornykh rabotakh [Geo-
mechanical problems in open pit mining], Gornyy informatsionno-analiticheskiy byulleten’. 2015, no 4, pp. 134—139. [In Russ].

11. Nguen Tkhay Khoang Otsenka ustoychivosti gruntovykh otkosov gidrotekhnicheskikh sooruzheniy s primeneniem variatsionnogo printsipa [Estimate of soil slope stability at waterworks using a variation principle], Candidate’s thesis, Saint-Petersburg, 2014, 106 p.

12. Zhabko A. V. Teoriya rascheta ustoychivosti otkosov i osnovaniy. Ustoychivost' otkosov v pole tektonicheskikh, seysmicheskikh i gidrostaticheskikh napryazheniy [Theory of stability calculation of slopes and foundations. Slope stability in the field of tectonic, seismic and hydrostatic stresses], Izvestiya UGGU. 2016. Issue 4, pp. 50—53. [In Russ].

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