Abstract
The seismic analysis of pile groups subjected to lateral and axial loads is often implemented separately. As a result, the calculated bending moment and deflection are found to be nonrealistic in nature, as compared with conditions where a combined analysis is carried out. In reality combined loadings are encountered in almost all situations and the occurrence of pure loadings (either lateral or vertical) is either nonexistent or scarce. In the present study, the numerical analysis of a 2 × 2 pile group under the action of combined loadings (lateral load, vertical load, and seismic ground motions) and embedded in a layered soil is carried out using the FLAC3D computer program. The liquefiable soil layer is modeled using the Mohr-Coulomb with Byrne constitutive model, while the non-liquefiable soil layers are modeled with the conventional Mohr-Coulomb constitutive model. The pile group is considered an elastic model. The proposed numerical model is validated with the existing dynamic centrifuge test results and good agreement between the results is observed. Finally the dynamic P-y (P denotes the lateral load applied at the pile cap and y is the lateral pile group deflection at the pile head) curves are generated for different combinations of vertical load, lateral load, and input seismic ground motions in liquefiable and non-liquefiable soil. It is observed that for a constant vertical load (V) having a magnitude equal to 0.50 times the ultimate pile load capacity (0.50Vult), the pile group deflection increases by 36% when the lateral load increases from 300 to 900 kN, while the increase is by 48.5% for V = Vult and for the same increase in the lateral load. Similarly 2001 Bhuj and 2011 Sikkim motions caused an amplification of deflection by 8.4 and 9 times, respectively. The influence of vertical loads increases the pile head displacement and should be considered for determining the dynamic P-y curves. The proposed dynamic P-y curves will be beneficial to geotechnical engineers for understanding the qualitative response of pile groups under combined loading conditions.
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References
Abdoun T, Dobry R, O’Rouke TD, Goh SH (2003) Pile foundation response to lateral spreads: centrifuge modelling. J Geotech Geoenviron Eng ASCE 129(10):869–878
Byrne P (1991) A cyclic shear-volume coupling and pore-pressure model for sand. In: Proceedings: Second International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics (St. Louis, Missouri, March 1991), pp 47–55
Chatterjee K (2017) Impact of ground response analysis on seismic behavior and design of piles in Kolkata city. Indian Geotech J 48(3):459–473
Chatterjee K, Choudhury D (2018a) Influences of local soil conditions for ground response in Kolkata City during earthquakes. Proceedings of the National Academy of Sciences, India, Section A: Physical Sciences 88(4):515–528
Chatterjee K, Choudhury D (2018b) Influence of seismic motions on behaviour of piles in liquefied soils. Int J Numer Anal Methods Geomech 42(3):516–541
Chatterjee K, Choudhury D, Rao VD, Mukherjee SP (2015a) Dynamic analyses and field observations on piles in Kolkata City. Geomechanics and Engineering: An International Journal 8(3):415–440
Chatterjee K, Choudhury D, Poulos HG (2015b) Seismic analysis of laterally loaded pile under influence of vertical loading using finite element method. Comput Geotech 67:172–186
Chatterjee K, Choudhury D, Rao VD, Poulos HG (2019) Seismic response of single piles in liquefiable soil considering P-delta effect. Bull Earthq Eng 17(6):2935–2961
Choobbasti AJ, Saadati M, Tavakoli HR (2012) Seismic response of pile foundations in liquefiable soil: parametric study. Arab J Geosci 5:1307–1315
Choudhury D, Phanikanth VS, Mhaske SY, Phule RR, Chatterjee K (2015) Seismic liquefaction hazard and site response for design of piles in Mumbai City. Indian Geotech J 45(1):62–78
Dash SR, Bhattacharya S, Blakeborough A (2010) Bending-buckling interaction as a failure mechanism of piles in liquefiable soils. Soil Dyn Earthq Eng 30(1–2):32–39
El Kamash W, El Naggar H (2018) Numerical study on buckling of end-bearing piles in soft soil subjected to axial loads. Geotech Geol Eng 36:3183–3201
FLAC3D (2009) Fast Lagrangian Analysis of Continua. Version 4.0. Itasca Consulting Group, Minneapolis, Minnesota, U.S.A.
Gazetas G, Fan K, Kaynia AM, Kausel E (1991) Dynamic interaction factors for floating pile groups. J Geotech Eng ASCE 117(10):1531–1548
Haldar S, Babu GLS (2010) Failure mechanisms of pile foundations in liquefiable soil: parametric study. Int J Geomech, ASCE 10(2):74–84
Idriss IM (1990) Response of soft soil sites during earthquakes. Proceedings of H. Bolton Seed Memorial Symposium, University of California, Berkeley, In
IS 2911 Part1: Section 4 (1984) Indian standard code of practice for design and construction of pile foundations. Bureau of Indian Standards, New Delhi
IS 456 (2000) Indian standard on plain and reinforced concrete – code of practice. Bureau of Indian Standards, New Delhi
Jimenez GAL, Dias D, Jeneck O (2019) Effect of the soil–pile–structure interaction in seismic analysis: case of liquefiable soils. Acta Geotech 14:150–1525
JRA Part V (2002) Design specifications for highway bridges: seismic design. Japanese Road Association.
Kaynia AM, Kausel E (1991) Dynamics of piles and pile groups in layered soil media. Soil Dyn Earthq Eng 10(8):386–401
Kramer SL (2005) Geotechnical earthquake engineering. Prentice-Hall, New Jersey
Kumar A, Choudhury D (2016) DSSI analysis of pile foundations for an oil tank in Iraq. Proc Inst Civil Eng - Geotech Eng 162(2):129–138
Kumar A, Choudhury D, Katzenbach R (2016) Effect of earthquake on combined pile-raft foundation. International Journal of Geomechanics, ASCE 16(5):04016013–1 to 04016013–16
Liyanapathirana DS, Poulos HG (2005) Seismic lateral response of piles in liquefying soil. J Geotech Geoenviron Eng ASCE 131:1466–1479
Maheshwari BK, Emani PK (2015) Three dimensional nonlinear seismic analysis of pile groups using FE-CIFECM coupling in hybrid domain and HiSS plasticity model. International Journal of Geomechanics, ASCE 15(3):04014055–1 to 04014055–12
Mylonakis G, Gazetas G (1998) Settlement and additional internal forces of grouped piles in layered soil. Geotechnique 48(1):55–72
Naeini AJ, Choobbasti AJ, Saadati M (2013) Seismic behaviour of pile in three-layered soil (case study: Babol City Center Project). Arab J Geosci 6:4487–4497
Phanikanth VS, Choudhury D, Reddy GR (2013) Behaviour of single pile in liquefied deposits during earthquakes. Int J Geomech, ASCE 13(4):454–462
Poulos HG (1968) Analysis of the settlement of pile groups. Geotechnique 18(4):449–471
Poulos HG (1971) Behaviour of laterally loaded piles II- pile groups. Journal of Soil Mechanics & Foundations Division, ASCE 97(SM5):733–751.
Randolph MF, Wroth CP (1979) An analysis of the vertical deformation of pile groups. Geotechnique 29(4):423–439
Sharafi H, Maleki YS, Fard MK (2016) Three-dimensional finite difference modeling of static soil-pile interactions to calculate p-y curves in pile-supported slopes. Arab J Geosci 9:5
Timoshenko SP, Goodier JN (2002) Theory of elasticity, 3rd edn. Tata McGraw-Hill, Education
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Chatterjee, K., Choudhury, D., Murakami, A. et al. P-y Curves of 2x2 pile group in liquefiable soil under dynamic loadings. Arab J Geosci 13, 585 (2020). https://doi.org/10.1007/s12517-020-05608-z
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DOI: https://doi.org/10.1007/s12517-020-05608-z