Seismic Active Earth Pressure of Infinite Width Backfilled Soil on Cantilever Retaining Wall with Long Relief Shelf under Translational Mode
Tóm tắt
In the area of high seismic intensity, there were few methods for calculating active earth pressure (Ea). Especially for the cantilever retaining wall with long relief shelf (CRW-LRS), the theoretical method lags behind the practical engineering. The seismic active earth pressure (ES) of the CRW-LRS subject to translational mode was researched. By finite element method (FEM), the failure mode of the active limit state under seismic load was evaluated. The results show that the backfill behind the wall generates the first sliding surface at the wall heel bottom, the second at the wall heel top, and the third at the relief shelf top. The calculation formula of ES under long relief shelf failure mode was proposed using the limit analysis method of a horizontal differential layer. The calculation results were compared with the FEM results to prove the rationality and reliability of the theoretical solution. The effects of relief shelf relative length (l) and position (m), wall heel length (n), internal frictional angle of the backfill (φ), seismic horizontal acceleration (ah), and seismic vertical acceleration (aV) on ES were studied.
Tài liệu tham khảo
Azad A, Yasrobi SS, Pak A (2007) Seismic active pressure distribution history behind rigid retaining walls. Soil Dynamics and Earthquake Engineering 28(5):365–375, DOI: https://doi.org/10.1016/j.soildyn.2007.07.003
Bell FG (1987) Ground engineer’s reference book. Butterworths, London, DOI: https://doi.org/10.1016/0148-9062(88)91618-X
Bhushan CV (2021) Limit analysis of the retaining wall with relief shelves under static surcharge loading using FEM. Sādhanā 46(3.2021), DOI: https://doi.org/10.1007/s12046-021-01662-9
Bhushan CV, Dasaka SM (2021) Active earth pressure on retaining wall with a relief shelf: A novel analytical method. Innovative Infrastructure Solutions 7(1), DOI: https://doi.org/10.1007/s41062-021-00690-y
Chen FQ, Chen HB, Xu L, Lin LB (2022) Seismic pseudo-static active earth pressure of narrow granular backfill against an inverted t-type retaining wall under translational mode. Soil Dynamics and Earthquake Engineering 152: 2022, DOI: https://doi.org/10.1016/j.soildyn.2021.107018
Farouk H (2015) Effectiveness of using shelves with cantilever retaining walls. AEI 2015 627–637, DOI: https://doi.org/10.1061/9780784479070.055
Ghosh P (2008) Seismic active earth pressure behind a nonvertical retaining wall using pseudo-dynamic analysis. Canadian Geotechnical Journal 45(1):117–123, DOI: https://doi.org/10.1139/T07-071
Giri D (2011) Pseudo-dynamic approach of seismic earth pressure behind cantilever retaining wall with inclined backfill surface. Geomechanics and Engineering 3(4):255–266, DOI: https://doi.org/10.12989/GAE.2011.3.4.255
Greco VR (2003) Pseudo-static analysis for earth thrust computations. Soils Found 43(2.2003):135–138, DOI: https://doi.org/10.3208/sandf.43.2_135
Greco VR (2009) Seismic active thrust on cantilever walls with short heel. Soil Dynamics & Earthquake Engineering 29(2):249–252, DOI: https://doi.org/10.1016/j.soildyn.2008.03.003
Iskander M, Chen Z, Omidvar M, Guzman I (2013) Rankine pseudostatic earth pressure for c–φ soils. Mech Res Commun 51:51–55, DOI: https://doi.org/10.1016/j.mechrescom.2013.04.010
Jang HW (1998) Soil foundation design and example. Research-culture Publishing Company
Jumikis AR (1964) Mechanics of soils. Soil Science 98
Kim B, Yoo W, Yang M, Park Y (2012) Model test study on the earth pressure of the retaining wall with the relieving platform. Journal of the Korean Society of Civil Engineers 32(1C):27–35, DOI: https://doi.org/10.12652/Ksce.2012.32.1C.027
Klein GK (1964) Calculation of retaining walls. Moscow: Vysshaya Shkola (in Russian)
Koseki J, Tatsuoka F, Munaf Y, Tateyama M, Kojima K (1998) A modified procedure to evaluate active earth pressure at high seismic loads. Soils Found 38(Supl. 1998):209–216, DOI: https://doi.org/10.3208/sandf.38.Special_209
Liu FC, Lin SL (2008) Earth pressure calculation for retaining structure with relieving platform. Port Engineering Technology 4:182
Ma SJ, Wang KH, Wu WB (2012) Pseudo-dynamic active earth pressure behind retaining wall for cohesive soil backfill. Journal of Central South University 19(11):3298–3304, DOI: https://doi.org/10.1007/s11771-012-1407-5
Mononobe N, Matsuo H (1929) On the determination of earth pressures during earthquakes. Proc., World Engrg. Conf. 9:176
Moon IJ, Kim BI, Han JT, Stuedlein AW (2016) Optimal design conditions of retaining wall with relieving platform through real-scale numerical analysis. Journal of the Korean Geotechnical Society 32(10):55–65, DOI: https://doi.org/10.7843/kgs.2016.32.10.55
Okabe S (1926) General theory of earth pressure. J. Japanese Soc. of Civ. Engrs. 12(1):1926
Pain A, Choudhury D, Bhattacharyya SK (2016) Seismic rotational displacement of retaining walls: A pseudo-dynamic approach. Innovative Infrastructure Solutions 1(1):1–8, DOI: https://doi.org/10.1007/s41062-016-0023-x
Peng MX, Chen J (2013) Coulomb’s solution to seismic passive earth pressure on retaining walls. Canadian Geotechnical Journal 50(10): 1100–1107, DOI: https://doi.org/10.1139/cgj-2012-0392
Phatak DR, Patil V (1975) Effect of relief shelves on earth pressure. Institute of Engineers (India) Journal-C1 55:156–159
Raychaudhuri PR (1973) Design of retaining walls with relieving shelves. Journal of the Indian Roads Congress 35(2):289–325
Ruan XB, Yu RL, Sun SL (2013) Analysis of seismic active earth pressure on retaining walls based on pseudo-dynamic method. Journal of Highway & Transportation Research & Development 7(2):34–39, DOI: https://doi.org/10.1061/JHTRCQ.0000311
Santhoshkumar G, Ghosh P (2018) Seismic passive earth pressure on an inclined cantilever retaining wall using method of stress characteristics–A new approach. Soil Dynamics and Earthquake Engineering 107:77–82, DOI: https://doi.org/10.1016/j.soildyn.2018.01.021
Santolo ASd, Evangelista A (2011) Dynamic active earth pressure on cantilever retaining walls. Computers and Geotechnics 38(8):1041–1051, DOI: https://doi.org/10.1016/j.compgeo.2011.07.015
Shafiee AH, Eskandarinejad A, Jahanandish M (2010) Seismic passive earth thrust on retaining walls with cohesive backfills using pseudo-dynamic approach. Geotechnical and Geological Engineering 28(4): 525–531, DOI: https://doi.org/10.1007/s10706-010-9327-3
Shukla SK (2015) Generalized analytical expression for dynamic active thrust from c–φ soil backfills. International Journal of Geotechnical Engineering 9(4):416–421, DOI: https://doi.org/10.1179/1939787914Y.0000000076
Wang KH, Ma SJ, Wu WB (2011) Pseudo-dynamic analysis of overturning stability of retaining wall. Journal of Central South University 18(6):2085–2090, DOI: https://doi.org/10.1007/s11771-011-0947-4
Wang KH, Wu DH, Ma SJ, Wu WB (2011) Calculating method of active earth pressure behind rigid retaining wall based on pseudo-dynamic theory. Advanced Materials Research 368–373:2932–2938, DOI: https://doi.org/10.4028/www.scientific.net/AMR.368-373.2932