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Modeling of pile-soil-pile interaction in laterally loaded pile groups embedded in linear elastic soil layers

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Abstract

This study proposes a new method to obtain the lateral response of pile groups by incorporating the pile group effect in layered soils. When a pile is loaded laterally, it creates a zone of influence in the direction of loading. In a pile group, each pile placed in the influence zone of prior piles is exposed to extra loads due to the load transfers from other piles. This mechanism results in a group effect which causes each pile in the group to have a different deflection curve compared to that of an identical isolated single pile under the same load. This study starts with a mathematical approach to model the interaction of two piles and then extends it to pile groups. The governing differential equation of a pile deflection problem is modified to take the pile-soil-pile interaction into account and solved analytically for each pile while the soil parameters and displacement fields around each pile are obtained numerically using the finite difference method written in Fortran language. The model captures the additional pile deflections induced by the group effects in pile groups and the results match well with the results of the existing methods, especially the finite element method.

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References

  • Abdrabbo F, Gaaver K (2012) Simplified analysis of laterally loaded pile groups. Alex Eng J 51(2):121–127

    Google Scholar 

  • Ai ZY, Feng DL (2014) Bem analysis of laterally loaded pile groups in multi-layered transversely isotropic soils. Eng Anal Bound Elem 44:143–151

    Google Scholar 

  • Ai ZY, Li ZX (2015) Dynamic analysis of a laterally loaded pile in a transversely isotropic multilayered half-space. Eng Anal Bound Elem 54:68–75

    Google Scholar 

  • Ai ZY, Li ZX, Wang LH (2016) Dynamic response of a laterally loaded fixedhead pile group in a transversely isotropic multilayered half-space. J Sound Vib 385:171–183

  • Aşık MZ (1999) Dynamic response analysis of the machine foundations on a nonhomogeneous soil layer. Comput Geotech 24(2):141–153

  • Aşık MZ, Vallabhan C (2001) A simplified model for the analysis of machine foundations on a nonsaturated, elastic and linear soil layer. Comput Struct 79(31):2717–2726

  • Ashour M, Pilling P, Norris G (2004) Lateral behavior of pile groups in layered soils. J Geotech Geoenviron 130(6):580–592

    Google Scholar 

  • Bahrami A, Nikraz H (2017) Generalized Winkler support properties for far field modeling of laterally vibrating piles. Soil Dyn Earthq Eng 92:684–691

    Google Scholar 

  • Banerjee PK, Driscoll RM (1976) Three-dimensional analysis of raked pile groups. Proc Inst Civ Eng 61(4):653–671

    Google Scholar 

  • Basu D, Salgado R, Prezzi M (2009) A continuum-based model for analysis of laterally loaded piles in layered soils. G’eotechnique 59(2):127–140

    Google Scholar 

  • Bonakdar L, Oumeraci H (2015) Pile group effect on the wave loading of a slender pile: a small-scale model study. Ocean Eng 108:449–461

    Google Scholar 

  • Bransby MF (1996) Difference between load-transfer relationships for laterally loaded pile groups: active p - y or passive p -d. J Geotech Eng 122(12):1015–1018

    Google Scholar 

  • Brown DA, Shie C-F (1991) Some numerical experiments with a three dimensional finite element model of a laterally loaded pile. Comput Geotech 12(2):149–162

    Google Scholar 

  • Brown DA, Reese LC, O’Neill MW (1987) Cyclic lateral loading of a large-scale pile group. J Geotech Eng 113(11):1326–1343

    Google Scholar 

  • Comodromos EM, Papadopoulou MC (2013) Explicit extension of the p-y method to pile groups in cohesive soils. Comput Geotech 47:28–41

    Google Scholar 

  • Comodromos EM, Pitilakis KD (2005) Response evaluation for horizontally loaded fixed-head pile groups using 3-d non-linear analysis. Int J Numer Anal Methods Geomech 29(6):597–625

    Google Scholar 

  • Duncan JM, Evans LT, Ooi PSK (1994) Lateral load analysis of groups of piles and drilled shafts. J Geotech Eng 120(6):1034–1050

    Google Scholar 

  • Elhakim AF, Khouly MAAE, Awad R (2016) Three dimensional modeling of laterally loaded pile groups resting in sand. HBRC J 12(1):78–87

    Google Scholar 

  • Fan C-C, Long H, J. (2007) A modulus-multiplier approach for non-linear analysis of laterally loaded pile groups. Int J Numer Anal Methods Geomech 31(9):1117–1145

    Google Scholar 

  • Giannakos S, Gerolymos N, Gazetas G (2012) Cyclic lateral response of piles in dry sand: finite element modeling and validation. Comput Geotech 44:116–131

    Google Scholar 

  • Guo P, Xiao Y, Kunnath S (2014) Performance of laterally loaded h-piles in sand. Soil Dyn Earthq Eng 67:316–325

    Google Scholar 

  • Heidari M, Naggar HE, Jahanandish M, Ghahramani A (2014) Generalized cyclic p-y curve modeling for analysis of laterally loaded piles. Soil Dyn Earthq Eng 63:138–149

    Google Scholar 

  • Ilyas T, Leung CF, Chow YK, Budi SS (2004) Centrifuge model study of laterally loaded pile groups in clay. J Geotech Geoenviron 130(3):274–283

    Google Scholar 

  • Larsson S, Malm R, Charbit B, Ansell A (2012) Finite element modelling of laterally loaded lime-cement columns using a damage plasticity model. Comput Geotech 44:48–57

    Google Scholar 

  • Law HK, Lam IP (2001) Application of periodic boundary for large pile group. J Geotech Geoenviron 127(10):889–892

    Google Scholar 

  • Loria AFR, Vadrot A, Laloui L (2018) Analysis of the vertical displacement of energy pile groups. Geomech Energy Environ 16:1–14

    Google Scholar 

  • Mamoon SM, Kaynia AM, Banerjee PK (1990) Frequency domain dynamic analysis of piles and pile groups. J Eng Mech 116(10):2237–2257

    Google Scholar 

  • Matlock H, Ingram WB, Kelley AE, Bogard D et al (1980) Field tests of the lateral-load behavior of pile groups in soft clay. In Offshore Technology Conference. Offshore Technology Conference, Houston. https://doi.org/10.4043/3871-MS

  • McVay M, Casper R, Shang T-I (1995) Lateral response of three-row groups in loose to dense sands at 3d and 5d pile spacing. J Geotech Eng 121(5):436–441

    Google Scholar 

  • McVay M, Shang T, Casper R (1996) Centrifuge testing of fixed-head laterally loaded battered and plumb pile groups in sand. Geotech Test J 19(1):41–50

    Google Scholar 

  • Meimon Y, Baguelin F, Jezequel J (1986) Pile group behaviour under long time lateral monotonic and cyclic loading. In: Proceedings, third international conference on numerical methods in offshore piling. Inst. Francais du Petrole, Nantes, France, pp 285–302

    Google Scholar 

  • Moss RES, Caliendo JA, Anderson LR (1998) Investigation of a cyclic laterally loaded model pile group. Soil Dyn Earthq Eng 17(7–8):519–523

    Google Scholar 

  • Mylonakis G, Gazetas G (1999) Lateral vibration and internal forces of grouped piles in layered soil. J Geotech Geoenviron 125(1):16–25

    Google Scholar 

  • Ooi PS, Chang BK, Wang S (2004) Simplified lateral load analyses of fixedhead piles and pile groups. J Geotech Geoenviron 130(11):1140–1151

    Google Scholar 

  • Padron L, Aznarez J, Maeso O (2007) Bem-fem coupling model for the dynamic analysis of piles and pile groups. Eng Anal Bound Elem 31(6):473–484

    Google Scholar 

  • Papadopoulou MC, Comodromos EM (2010) On the response prediction of horizontally loaded fixed-head pile groups in sands. Comput Geotech 37(7–8):930–941

    Google Scholar 

  • Randolph MF, Wroth CP (1979) An analysis of the vertical deformation of pile groups. G’eotechnique 29(4):423–439

    Google Scholar 

  • Rollins KM, Peterson KT, Weaver TJ (1998) Lateral load behavior of full-scale pile group in clay. J Geotech Geoenviron 124(6):468–478

    Google Scholar 

  • Rollins KM, Olsen RJ, Egbert JJ, Jensen DH, Olsen KG, Garrett BH (2006) Pile spacing effects on lateral pile group behavior: load tests. J Geotech Geoenviron 132(10):1262–1271

    Google Scholar 

  • Salgado R, Tehrani F, Prezzi M (2014) Analysis of laterally loaded pile groups in multilayered elastic soil. Comput Geotech 62:136–153

    Google Scholar 

  • Sen R, Davies TG, Banerjee PK (1985) Dynamic analysis of piles and pile groups embedded in homogeneous soils. Earthq Eng Struct Dyn 13(1):53–65

    Google Scholar 

  • Sun K (1994) A numerical method for laterally loaded piles. Comput Geotech 16(4):263–289

    Google Scholar 

  • Tahghighi H, Konagai K (2007) Numerical analysis of nonlinear soil-pile group interaction under lateral loads. Soil Dyn Earthq Eng 27(5):463–474

    Google Scholar 

  • Wu G, Finn WL, Dowling J (2015) Quasi-3d analysis: validation by full 3d analysis and field tests on single piles and pile groups. Soil Dyn Earthq Eng 78:61–70

    Google Scholar 

  • Xu KJ, Poulos HG (2000) General elastic analysis of piles and pile groups. Int J Numer Anal Methods Geomech 24(15):1109–1138

    Google Scholar 

  • Yang Z, Jeremic B (2003) Numerical study of group effects for pile groups in sands. Int J Numer Anal Methods Geomech 27(15):1255–1276

    Google Scholar 

Download references

Acknowledgments

The author thanks Dr. Rodrigo Salgado for the valuable discussions on the single-pile analysis method.

Funding

The author acknowledges the funding by TUBITAK under Grant BIDEB 2232-116C087.

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Correspondence to Volkan Isbuga.

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Responsible Editor: Zeynal Abiddin Erguler

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Isbuga, V. Modeling of pile-soil-pile interaction in laterally loaded pile groups embedded in linear elastic soil layers. Arab J Geosci 13, 322 (2020). https://doi.org/10.1007/s12517-020-5229-8

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  • DOI: https://doi.org/10.1007/s12517-020-5229-8

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