Abstract
Two calculation modes for the effect of external load on slope stability, i.e., mode I in which the external load is thought to act on slope surface, and mode II in which the external load is thought to act on slip surface along the force action line, were considered. Meanwhile, four basic distribution patterns of external load were used, of which complex external loads could be composed. In analysis process, several limit equilibrium methods, such as Swedish method, simplified Bishop method, simplified Janbu method, Spencer method, Morgenstern-Price (M-P) method, Sarma method, and unbalanced thrust method, were also adopted to contrast their differences in slope stability under the external load. According to parametric analysis, some conclusions can be obtained as follows: (1) The external load, with the large magnitude, small inclination angle, and acting position close to the slope toe, has more positive effect on slope stability; (2) The results calculated using modes I and II of external load are similar, indicating that the calculation mode of external load has little influence on slope stability; (3) If different patterns of external loads are equivalent to each other, their slope stability under these external loads are the same, and if not, the external load leads to the better slope stability, as action position of the resultant force for external load is closer to the lower sliding point of slip surface.
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SHU S Z, MUHUNTHAN B, BADGER T C, GRANDORFF R. Load testing of anchors for wire mesh and cable net rockfall slope protection systems [J]. Engineering Geology, 2005, 79(4): 162–176.
SAGASETA C, SÁNCHEZ J M, CAÑIZAL J. A general analytical solution for the required anchor force in rock slopes with toppling failure [J]. International Journal of Rock Mechanics and Mining Sciences, 2001, 38(3): 421–435.
ALAMSHAHI S, HATAF N. Bearing capacity of strip footings on sand slopes reinforced with geogrid and grid-anchor [J]. Geotextiles and Geomembranes, 2009, 27(3): 217–226.
LIU X M, CHEN C X, ZHENG Y, OU Z. Stability analysis of anchorage slope based on limit equilibrium theory [J]. Disaster Advances, 2012, 5(4): 892–895.
GERMER K, BRAUN J. Effects of saturation on slope stability: Laboratory experiments utilizing external load [J]. Vadose Zone Journal, 2011, 10(2): 477–486.
VANDENBERGE D R, DUNCAN J M, BRANDON T L. Limitations of transient seepage analyses for calculating pore pressures during external water level changes [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2015, 141(1): 1–10.
ZHANG K, CAO P, LIU Z Y, HU H H, GONG D P. Simulation analysis on three-dimensional slope failure under different conditions [J]. Transactions of Nonferrous Metals Society of China, 2011, 21(11): 2490–2502.
FELLENIUS W. Calculation of the stability of earth dams [C]// Proc 2nd Congr 431 Large Dams. Washington, D.C, 1936, 445–462.
BISHOP A W. The use of the slip circle in the stability analysis of earth slopes [J]. Géotechnique, 1955, 5(1): 7–17.
JANBU N. Slope stability computations [M]// Embankment Dam Engineering, Casagrande Memorial Volume. HIRSCHFIELD E, POULOS S, Eds. New York: John Wiley, 1973: 47–86.
SPENCER E. A method of analysis of the stability of embankments assuming parallel inter-slice forces [J]. Geotechnique, 1967, 17(1): 11–26.
MORGENSTERN, PRICE V E. The analysis of the stability of general slip surfaces [J]. Geotechnique, 1965, 15(1): 79–93.
SARMA S K. Stability analysis of embankments and slopes [J]. Journal of Geotechnical. Engineering, ASCE, 1979, 105(12): 1511–1524.
ZHENG Y R, SHI W M, YANG M C. Discussion on imbalance thrust method and Sarma’s method [J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(17): 3030–3036. (in Chinese)
SANJAY K N, MONIRHOSSAIN M. Stability analysis of multi-directional anchored rock slope subjected to surcharge and seismic loads [J]. Soil Dynamics and Earthquake Engineering, 2011, 31(5): 841–844.
AHMED A, UGAI K, YANG Q Q. Assessment of 3D slope stability analysis methods based on 3D simplified Janbu and Hovland methods [J]. International Journal of Geomechanics, 2012, 12(2): 81–89.
ALKARNI A A, ALSHAMRANI M A. Study of the effect of soil anisotropy on slope stability using method of slices [J]. Computers and Geotechnics, 2000, 26(2): 83–103.
JANUSZ K. Selected aspects of the stability assessment of slopes with the assumption of cylindrical slip surfaces [J]. Computers and Geotechnics, 2010, 37(6): 796–801.
Rocscience Inc. Slide verification manual [R]. Toronto: Rocscience Inc., 2003: 8–118.
DENG D P, LI L, ZHAO L H. A new method of sliding surface searching for general stability of slope based on Janbu method [J]. Rock and Soil Mechanics, 2011, 32(3): 891–898. (in Chinese)
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Foundation item: Project(2015M580702) supported by the China Postdoctoral Science Foundation; Project(51608541) supported by the National Natural Science Foundation of China; Project(2014122006) supported by the Guizhou Provincial Department of Transportation Foundation, China
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Deng, Dp., Zhao, Lh. & Li, L. Limit equilibrium stability analysis of slopes under external loads. J. Cent. South Univ. 23, 2382–2396 (2016). https://doi.org/10.1007/s11771-016-3297-4
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DOI: https://doi.org/10.1007/s11771-016-3297-4