Abstract
Various studies of retaining walls with relief shelves tend to rely on the proposition of reducing soil pressures behind the wall, according to the location and the width of relief shelf. The previous numerical studies did not predict the optimum reduction rate of earth pressure and the shape of failure mechanism. The finite-difference code fast Lagrangian analysis of continua is used to evaluate the active earth pressure behind a retaining wall with one relief shelf placed at different levels with a variable width. The soil behind the wall is modelled by an elastoplastic constitutive model with a Mohr–Coulomb yield criterion. The effects of soil non-associativity as well as the interface of soil–wall and relief shelf–soil are investigated. The reduction of earth pressure is estimated by the rate R, defined as the ratio of the reduced active thrust to the total active thrust of a wall without a relief shelf. The rate R is evaluated numerically and by using Klein’s solution. The obtained results enable determination of the appropriate position and width of the relief shelf to evaluate the optimum values of R.
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References
All India Metal Corporation. https://www.allindiametal.com/aisi-1018-sheet-plate-sheet-metal-suppliers-in-india/#properties
Bell FG (1987) Ground engineer’s reference book. Butterworths, London
Benmeddour D, Mellas M, Frank R, Mabrouki A (2012) Numerical study of passive and active earth pressures of sands. Comput Geotech 40:34–44. https://doi.org/10.1016/j.compgeo.2011.10.002
Bowles JE (1997) Foundation analysis and design, 5th edn. McGraw-Hill, Singapore
Chaudhuri PR, Garg AK, Rao MVB, Sharma RN, Satija PD (1973) Design of retaining wall with relieving shelves. IRC J 35(2):289–325
Chauhan VB, Dasaka SM (2016) Behaviour of rigid retaining wall with relief shelves with cohesive backfill. In: Proceedings of the 5th international conference on forensic geotechnical engineering, international society for soil mechanics and geotechnical engineering, London, pp 350–357
Chauhan VB, Dasaka SM (2018) Performance of a rigid retaining wall with relief shelves. J Perform Constr Facil 32(3):04018021. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001161
Chauhan VB, Dasaka SM, Gade VK (2016) Investigation of failure of a rigid retaining wall with relief shelves. Jpn Geotech Soc Special Publ. https://doi.org/10.3208/jgssp.TC302-02
Chauhan VB, Dasaka SM and Khan R (2015) Numerical study on the behaviour of a rigid retaining wall with two relief shelves. In: Proceedings, Indian geotechnical conference, Indian geotechnical society, New Delhi, India, pp 1–8
Chauhan, VB, Khan R, and Dasaka SM (2016b) Reduction of lateral earth pressure acting on non-yielding retaining wall using relief shelves. In: Proceedings, Indian geotechnical conference, Indian geotechnical society, New Delhi, India, pp 1–4
Coulomb CA (1776) Essai sur une application des règles des maximis et minimis à quelques problèmes de statique relatifs à l’architecture. vol 7, Mém Math Phys Acad Roy Sci par divers Savants, Paris, France
Das BM (1994) Principles of geotechnical engineering, 3rd edn. PWS Publishing Company, Boston
Farouk H (2014) Finite element analysis for the retaining wall with relief shelves. In: Brandl H, Adam D (eds) XV Danube-European conference on geotechnical engineering (DECGE2014), 9–11 September. Austria, Paper No, Vienna, p 52
Farouk H (2015) Effectiveness of using shelves with cantilever retaining walls. AEI 2015:627–637. https://doi.org/10.1061/9780784479070.055
FLAC (2005) Fast Lagrangian analysis of continua. ITASCA Consulting Group Inc, Minneapolis
Fuchen L, Shile L (2008) Earth pressure calculation for retaining structure with relieving platform. Port Eng Technol 4:182
Güler E, Cicek E, Demirkan MM (2012) Numerical analysis of reinforced soil walls with granular and cohesive backfills under cyclic loads. Bull Earthq Eng 10:793–811. https://doi.org/10.1007/s10518-011-9322-y
Han J, Leshchinsky D (2010) Analysis of back-to-back mechanically stabilized earth walls. Geotext Geomembr 28(3):262–267. https://doi.org/10.1016/j.geotexmem.2009.09.012
Jang HW (1998) Soil foundation design and example. Research culture publishing company
Jumikis AR (1964) Mechanics of soils. D Van Nostrand Co., Inc., New Jersey
Klein GK (1964) Calculation of retaining walls (Russian edition). Vysshaya Shkola, Moscow
Khan R, Chauhan VB, Dasaka SM (2016) Reduction of lateral earth pressure on retaining wall using relief shelf: a numerical study. In: Proceedings, international conference on soil environment, Indian geotechnical society, New Delhi, India, pp 1–8
Liu G, Hu R, Pan X, Liu Y (2013) Model tests on mechanical behaviors of sheet pile wall with relieving platform, (In Chinese). Chin J Geotech Eng 35(1):103–110
Liu J, Chen L (2013) Numerical analysis stability of retaining wall with relieving plate. J Theo Appl Info Tech 48(2):720–727
Moon I, Kim B, Yoo W, Park Y (2013) Model test for measurement of lateral earth pressure on retaining wall with the relieving platform using Jumoonjin sand. J Korea Acad Indust Cooper Soc 14(11):5923–5929. https://doi.org/10.5762/KAIS.2013.14.11.5923
Padhye R (2012) Retaining wall with shelves. LAP Lambert Academic Publishing, Germany
Rahmouni O, Mabrouki A, Benmeddour D, Mellas M (2015) Numerical study of geogrid-reinforced segmental earth retaining wall. J Appl Eng Sci Technol JAEST 1(2):43–49
Rankine W (1857) On the stability of loose earth philosophical. Trans Roy Soc Lond 147:9
Shehata HF (2016) Retaining walls with relief shelves. Innov Infrastruct Solut 1:4. https://doi.org/10.1007/s41062-016-0007-x
Yakovlev, P.I. (1964), “Experimental investigations of a new type of relieving device for retaining walls”, (Russian edition). In: Scientific papers ‘‘Hydraulic Engineering’’, Morskoi Transport, No. 3
Yakovlev PI (1974) Experimental investigations of earth pressure on walls with two relieving platforms in the case of breaking loads on the backfill. Odessa Institute of Naval Engineers, Translated from Osnovaniya, Fundamenty Mekhanika Gruntov., No 3: pp 7–9
Yoo W, Kim B, Moon I, Park Y (2012) Comparison of the lateral earth pressure on the retaining wall with the relieving platform by model test and numerical analysis, (Korean edition). J Korea Acad Ind 13(5):2382–2389. https://doi.org/10.5762/KAIS.2012.13.5.2382
Kim B, Yoo W, Yang M, Park Y (2012) Model test study on the earth pressure of the retaining wall with the relieving platform. J Korean Soc Civ Eng 32(1):27–35. https://doi.org/10.12652/Ksce.2012.32.1C.027
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Djireb, S., Mabrouki, A., Benmeddour, D. et al. Investigation of active earth pressures and failure mechanism of retaining walls with a relief shelf. Innov. Infrastruct. Solut. 5, 50 (2020). https://doi.org/10.1007/s41062-020-00299-7
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DOI: https://doi.org/10.1007/s41062-020-00299-7