Abstract
The axi-symmetric active earth pressure for layered backfills was investigated using the slip line method. Due to different soil properties, the interfaces of the soil layers were considered as discontinuity surface. Accordingly, the change of the major principal direction was obtained and a new computation scheme was proposed to deal with the discontinuity in the calculation, finally the slip line method was extended to layered backfills. Results indicate that, the major principal direction, as well as the earth pressure, has a finite jump on passing the soil interfaces. The magnitude of the jump depends on the soil properties mainly. Generally, the active earth pressure when a strong layer is overlying a weak layer is much larger than that when the weak layer is lying on the strong layer. The present solution can be reduced to plane strain case and it has been compared with Rankine’s and Coulomb’s results, and a good agreement is observed.
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References
Motta E. Generalized coulomb active-earth pressure for distanced surcharge [J]. Journal of Geotechnical Engineering, 1994, 120(6): 1072–1079.
Kingsly H K. Arch in soil arching [J]. Journal of geotechnical Engineering, 1989, 115(3): 415–419.
Chen Z Y, Li S M. Evaluation of active earth pressure by the generalized method of slices [J]. Canadian Geotechnical Journal, 1998, 35(4): 591–599.
Gnanapragasam N. Active earth pressure in cohesive soils with an inclined ground surface [J]. Canadian Geotechnical Journal, 2000, 37(1): 171–177.
Vananzio R G. Active earth thrust by backfills subject to a line surcharge [J]. Canadian Geotechnical Journal, 2005, 42(5): 1255–1263.
Chen W F. Limit analysis and soil plasticity [M]. Amsterdam: Elsevier, 1975.
Sobrou A H, Macuh B. Active and passive earth pressure coefficients by a kinematical approach [J]. Proceedings of the Insitute of Civil Engineers, Geotechnical engineering, 2002, 155(2): 119–131.
Sokolovskii V V. Statics of soil media [M]. London: Pergamon, 1960.
Kumagai T, Ariizumi K, Kashiwagi A. Behavior and analysis of a large-scale cylindrical earth retaining structure[J]. Soils and Foundations, 1999, 39(3): 13–26.
Berezantzev V G. Axially symmetrical limit equilibrium problems of loose materials (soil) [M]. Moscow: Gostekhizdat Brinch Hansen, 1952 (in Russian).
Cheng Y M, Hu Y Y, Wei W B. General axi-symmetric active earth pressure by method of characteristics-theory and numerical formulation [J]. International Journal of Geomechanics, 2007, 7(1): 1–15.
Meyerhof G G, Hanna A M. Ultimate bearing capacity of foundations on layered soil under inclined load [J]. Canadian Geotechnical Journal, 1978, 15: 565–572.
Hanna A M, Meyerhof G G. Ultimate bearing capacity of foundations on three-layer soil, with special reference to layered sand [J]. Canadian Geotechnical Journal, 1979, 16: 412–414.
Florkiewicz A. Upper bound to bearing capacity of layered soils [J]. Canadian Geotechnical Journal, 1989, 26: 730–736.
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Foundation item: the National Natural Science Foundation of China (No. 50679041); the Shanghai Leading Academic Discipline Project (No. B208)
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Liu, Fq., Wang, Jh. & Zhang, Ll. Axi-symmetric active earth pressure for layered backfills obtained by the slip line method. J. Shanghai Jiaotong Univ. (Sci.) 13, 579–584 (2008). https://doi.org/10.1007/s12204-008-0579-5
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DOI: https://doi.org/10.1007/s12204-008-0579-5