Abstract
The overlapping displacement fields among closely spaced piles termed as pile-to-pile interactions, increase the overall settlement of pile groups. Resultantly, under static loading, these interactions invariably decrease the group stiffness of piles than the collective stiffnesses of corresponding single piles. Whereas under dynamic loading, the group stiffness may increase or decrease than the cumulative stiffnesses of single piles depending on the loading frequency. As soil exhibits nonlinear behaviour under strong motions, in addition to the consideration for soil nonlinearity to obtain the response of piles, nonlinearity generated at the interface between the soil and pile needs to be appropriately considered as it can significantly change the response of piles. To assess the influence of mentioned nonlinearities on the vertical pile-to-pile interaction factors, a scale model test on closely spaced piles is carried out under 1 g conditions. At very low loading amplitudes wherein soil exhibits close-to-elastic behaviour, the experimental interactions are drastically smaller than those obtained from closed-form solutions assuming soil as an elastic material, highlighting the influence of soil-pile interface nonlinearity. Under higher loading amplitudes, results indicate that the increased nonlinearities strengthen the amplitude dependency of interactions. To minutely assess the effects of soil-pile interface nonlinearity on the response, three-dimensional nonlinear finite element modelling (FEM) is carried out. Results obtained from FEM considering soil and soil-pile interface nonlinearities validate the experimental results well. Whereas, assuming soil as an elastic material leads to a noticeable reduction in interactions due to stiffnesses of neighbouring piles; interactions get further reduced when the number of adjacent piles increases.
Similar content being viewed by others
References
Al Heib M, Emeriault F, Nghiem H-L (2020) On the use of 1g physical models for ground movements and soil-structure interaction problems. J Rock Mech Geotech Eng 12:197–211. https://doi.org/10.1016/j.jrmge.2019.07.006
Carpenter NJ, Taylor RL, Katona MG (1991) Lagrange constraints for transient finite element surface contact. Int J Numer Methods Eng 32:103–128. https://doi.org/10.1002/nme.1620320107
Chen L, Chu X, Xu Y (2013) Numerical simulation of diaphragm wall-pile-soil interaction. Appl Mech Mater 438–439:829–833
Cohen M, Jennings P (1983) Computational methods for transient analysis. In: (chap. Silent Boundary methods for transient analysis).
Dehghanpoor A, Thambiratnam D, Taciroglu E (2019a) Significance of vertical ground motions on soil-pile-superstructure systems. Paper presented at the 7th international conference on earthquake geotechnical engineering
Dehghanpoor A, Thambiratnam D, Taciroglu E, Chan T (2019b) Soil-pile-superstructure interaction effects in seismically isolated bridges under combined vertical and horizontal strong ground motions. Soil Dyn Earthq Eng 126:105753. https://doi.org/10.1016/j.soildyn.2019.105753
Dhadse GD, Ramtekkar GD, Bhatt G (2020) Finite element modeling of soil structure interaction system with interface: a review. Arch Comput Methods Eng. https://doi.org/10.1007/s11831-020-09505-2
Dobry R, Gazetas G (1988) Simple method for dynamic stiffness and damping of floating pile groups. Géotechnique 38:557–574. https://doi.org/10.1680/geot.1988.38.4.557
Dobry R, Vicenti E, O’Rourke Michael J, Roesset Jose M (1982) Horizontal stiffness and damping of single piless. J Geotech Eng Div 108:439–459. https://doi.org/10.1061/AJGEB6.0001259
El Fiky NE, Metwally KG, Akl AY (2020) Effect of top soil liquefaction potential on the seismic response of the embedded piles. Ain Shams Eng J 11:923–931. https://doi.org/10.1016/j.asej.2020.03.002
France ÉD (1989–2020) Code_aster: finite element analysis of structures and thermomechanics for studies and research. www.code-aster.org.
Franza A, Marshall AM, Jimenez R (2021) Non-linear soil–pile interaction induced by ground settlements: pile displacements and internal forces. Geotechnique 71:239–249. https://doi.org/10.1680/jgeot.19.P.078
Gazetas G (1984) Seismic response of end-bearing single piles. Int J Soil Dyn Earthq Eng 3:82–93. https://doi.org/10.1016/0261-7277(84)90003-2
Gazetas G (1991) Foundation vibrations. In: Fang H-Y (ed) Foundation engineering handbook. Springer, Boston, MA, pp 553–593. doi:https://doi.org/10.1007/978-1-4615-3928-5_15
Goit CS, Saitoh M (2018) Single pile under vertical vibrations in cohesionless soil. Géotechnique 68:893–904. https://doi.org/10.1680/jgeot.17.P.020
Goit CS, Saitoh M, Mylonakis G, Kawakami H, Oikawa H (2013a) Model tests on horizontal pile-to-pile interaction incorporating local non-linearity and resonance effects. Soil Dyn Earthq Eng 48:175–192. https://doi.org/10.1016/j.soildyn.2013.02.002
Goit CS, Saitoh M, Oikawa H, Kawakami H (2013b) Effects of soil nonlinearity on the active length of piles embedded in cohesionless soil: model studies. Acta Geotech 9:455–467. https://doi.org/10.1007/s11440-013-0257-0
Gupta BK, Basu D (2018) Dynamic analysis of axially loaded end-bearing pile in a homogeneous viscoelastic soil. Soil Dyn Earthq Eng 111:31–40. https://doi.org/10.1016/j.soildyn.2018.04.019
Han YC (1997) Dynamic vertical response of piles in nonlinear soil. J Geotech Geoenviron Eng 123:710–716. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:8(710)
Ishida T, Watanabe H, Ito H, Kitahara Y, Matsumoto M (1981) Static and dynamic mechanical properties of sandy materials for model test of slope failure under the condition of low confined stress. Report No. 380045. Central Research Institute of Electric Power Industry (CRIEPI), Tokyo, Japan
Iskander M (2011) Similitude between model and full scale piles. In: Behavior of pipe piles in sand: plugging and pore-water pressure generation during installation and loading. Springer, Berlin, Heidelberg, pp 187–194. doi:https://doi.org/10.1007/978-3-642-13108-0_8
Jegatheeswaran B, Muthukkumaran K (2016) Behavior of pile due to combined loading with lateral soil movement. Int J Geo-Eng 7:8. https://doi.org/10.1186/s40703-016-0021-z
Kanellopoulos K, Gazetas G (2020) Vertical static and dynamic pile-to-pile interaction in non-linear soil. Géotechnique 70:432–447. https://doi.org/10.1680/jgeot.18.P.303
Kaynia A, Kausel E (1982) Dynamic stiffness and seismic response of pile groups. Research Report R82–03., Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA.
Kokusho T, Iwatate T (1979) Scaled model tests and numerical analyses on nonlinear dynamic response of soft grounds. Proc Jpn Soc Civil Eng 1979:57–67. https://doi.org/10.2208/jscej1969.1979.285_57
Kuhlemeyer R, Lysmer J (1973) Finite element method accuracy for wave propagation problems. J Soil Mech Found Div 99:421–427
Lu X, Chen Y, Chen B, Li P (2002) Shaking table model test on the dynamic soil-structure interaction system. J Asian Arch Build Eng 1:55–64. https://doi.org/10.3130/jaabe.1.55
Luan L, Ding X, Cao G, Deng X (2020) Development of a coupled pile-to-pile interaction model for the dynamic analysis of pile groups subjected to vertical loads. Acta Geotech 15:3261–3269. https://doi.org/10.1007/s11440-020-00972-2
Luo C, Yang X, Zhan C, Jin X, Ding Z (2016) Nonlinear 3D finite element analysis of soil–pile–structure interaction system subjected to horizontal earthquake excitation. Soil Dyn Earthq Eng 84:145–156. https://doi.org/10.1016/j.soildyn.2016.02.005
Makris N, Gazetas G, Delis E (2009) Dynamic soil—pile—foundation—structure interaction: records and predictions. Géotechnique 46:33–50
McCabe BA, Sheil BB (2015) Pile group settlement estimation: suitability of nonlinear interaction factors. Int J Geomech. https://doi.org/10.1061/(asce)gm.1943-5622.0000395
Messioud S, Okyay US, Sbartai B, Dias D (2016) Dynamic response of pile reinforced soils and piled foundations. Geotech Geol Eng 34:789–805. https://doi.org/10.1007/s10706-016-0003-0
Mylonakis G, Gazetas G (1998a) Settlement and additional internal forces of grouped piles in layered soil. Geotechnique 48:55–72. https://doi.org/10.1680/geot.1998.48.1.55
Mylonakis G, Gazetas G (1998b) Settlement and additional internal forces of grouped piles in layered soil. Géotechnique 48:55–72. https://doi.org/10.1680/geot.1998.48.1.55
Mylonakis G, Gazetas G (1998c) Vertical vibration and additional distress of grouped piles in layered soil. Soils Found 38:1–14. https://doi.org/10.3208/sandf.38.1
Naggar MHE, Novak M (1994a) Non-linear model for dynamic axial pile response. J Geotech Eng 120:308–329. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:2(308)
Naggar MHE, Novak M (1994b) Nonlinear axial interaction in pile dynamics. J Geotech Eng 120:678–696
Ninić J, Stascheit J, Meschke G (2014) Beam–solid contact formulation for finite element analysis of pile–soil interaction with arbitrary discretization. Int J Numer Anal Methods Geomech 38:1453–1476. https://doi.org/10.1002/nag.2262
Ochiai HM, Adachi S (1993) Evaluation of bearing capacity of friction pile based on uncertainty of soil properties. Paper presented at the International Conference on Case Histories in Geotechnical Engineering,
Ooi L, Boey C, Carter J (1989) Modified load transfer analysis of axially loaded piles.
Papazoglou AJ, Elnashai AS (1996) Analytical and field evidence of the damaging effect of vertical earthquake ground motion. Earthq Eng Struct Dyn 25:1109–1137. https://doi.org/10.1002/(SICI)1096-9845(199610)25:10%3c1109::AID-EQE604%3e3.0.CO;2-0
Pichumani R, D'Appolonia E (1967) Theoretical distribution of loads among piles in a group. In: Proceedings of the 3rd pan-American conference on soil mechanics and foundation engineering
Poulos HG (1968) Analysis of the settlement of pile groups. Geotechnique 18:449–471. https://doi.org/10.1680/geot.1968.18.4.449
Poulos HG, Davis EH (1980) Pile foundation analysis and design. Wiley, New York
Roscoe KH (1968) Soils and model tests. J Strain Anal 3:57–64. https://doi.org/10.1243/03093247V031057
Sales MM, Curado TdS (2018) Interaction factor between piles: limits on using the conventional elastic approach in pile group analysis. Soils Rocks 41:049–060. https://doi.org/10.28927/sr.411049
Sharnouby BE, Novak M (1990) Stiffness constants and interaction factors for vertical response of pile groups. Canad Geotech J 27:813–822. https://doi.org/10.1139/t90-094
Sheil BB, McCabe BA (2016) An analytical approach for the prediction of single pile and pile group behaviour in clay. Comput Geotech 75:145–158. https://doi.org/10.1016/j.compgeo.2016.02.001
Sheil BB, McCabe BA, Comodromos EM, Lehane BM (2019) Pile groups under axial loading: an appraisal of simplified non-linear prediction models. Géotechnique 69:565–579. https://doi.org/10.1680/jgeot.17.R.040
Sheng D, Eigenbrod KD, Wriggers P (2005) Finite element analysis of pile installation using large-slip frictional contact. Comput Geotech 32:17–26. https://doi.org/10.1016/j.compgeo.2004.10.004
Sheng D, Wriggers P, Sloan SW (2006) Improved numerical algorithms for frictional contact in pile penetration analysis. Comput Geotech 33:341–354. https://doi.org/10.1016/j.compgeo.2006.06.001
Trochanis Aristonous M, Bielak J, Christiano P (1991) Three-dimensional nonlinear study of piles. J Geotech Eng 117:429–447. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:3(429)
Wang AD, Wang WD, Huang MS, Wu JB, Sheil BB, McCabe BA (2016) Discussion: interaction factor for large pile groups. Géotech Lett 6:234–240. https://doi.org/10.1680/jgele.16.00082
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The author declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zafar, U., Goit, C.S. & Saitoh, M. Experimental and numerical investigations on vertical dynamic pile-to-pile interactions considering soil and interface nonlinearities. Bull Earthquake Eng 20, 3117–3142 (2022). https://doi.org/10.1007/s10518-021-01186-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-021-01186-x