Three-Dimensional Analysis of Nonlinear Pile–Soil Interaction Responses Using 3D Pile Element Model
Publication: International Journal of Geomechanics
Volume 21, Issue 8
Abstract
Due to the complicated geological conditions and complex loads, the pile–soil interaction is a three-dimensional (3D) and highly nonlinear problem. Conventional numerical models have deficiencies to model the nonlinear soil–structure interaction (SSI) responses. This paper developed a 3D pile element model, which is capable of robustly simulating the pile behaviors under complex loadings in 3D analysis. The dominant feature of the model was the direct integration of the soil properties into the element formulation to consider the nonlinear SSI responses so that the soils were not necessarily modeled explicitly. Element tangent stiffness matrices were computed via the total potential energy equation. A semianalytical method based on the Gauss–Legendre integration method is developed for the summating process. The kinematic description of motion established by the updated Lagrangian approach was developed to allow intermediately large deflection of a pile. Formulation of the 3D pile element was derived, and the numerical implementation of the 3D pile element was provided. Finally, several examples were worked out to validate the efficiency and accuracy of the proposed model.
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Data Availability Statement
All data generated or used during the study are available from the corresponding author by request.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (No. 51909288 and No. 52008410) and the Guangdong Provincial Department of Science and Technology (2019ZT08G090). The first author also thank Sun-Yat-Sen University for providing the Early Research Career Scheme Grant (Grant No. 76140-18831107).
References
API (American Petroleum Institute). 2002. Recommended practice for planning, designing, and constructing fixed offshore platforms. Washington, DC: API.
Bai, R., S. W. Liu, and S. L. Chan. 2018. “Finite-element implementation for nonlinear static and dynamic frame analysis of tapered members.” Eng. Struct. 172: 358–381. https://doi.org/10.1016/j.engstruct.2018.05.088.
Bouzid, D. A., S. Bhattacharya, and S. R. Dash. 2013. “Winkler springs (p–y curves) for pile design from stress–strain of soils: FE assessment of scaling coefficients using the mobilized strength design concept.” Geomech. Eng. 5 (5): 379–399. https://doi.org/10.12989/gae.2013.5.5.379.
Elkasabgy, M., and M. H. El Naggar. 2019. “Lateral performance and p–y curves for large-capacity helical piles installed in clayey glacial deposit.” J. Geotech. Geoenviron. Eng. 145 (10): 04019078. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002063.
Fellenius, B. H., and M. M. Rahman. 2019. “Load–movement response by t–z and q–z functions.” J. SEAGS AGSSEA J. 50 (3): 11–19.
Garbellini, C., and L. Laloui. 2019. “Three-dimensional finite element analysis of piled rafts with energy piles.” Comput. Geotech. 114: 103115. https://doi.org/10.1016/j.compgeo.2019.103115.
Gupta, B. K., and D. Basu. 2018. “Applicability of Timoshenko, Euler–Bernoulli and rigid beam theories in analysis of laterally loaded monopiles and piles.” Géotechnique 68 (9): 772–785. https://doi.org/10.1680/jgeot.16.P.244.
Jamil, I., and I. Ahmad. 2019. “Bending moments in raft of a piled raft system using Winkler analysis.” Geomech. Eng. 18 (1): 41–48. https://doi.org/10.12989/gae.2019.18.1.041.
Kampitsis, A. E., S. Giannakos, N. Gerolymos, and E. J. Sapountzakis. 2015. “Soil–pile interaction considering structural yielding: Numerical modeling and experimental validation.” Eng. Struct. 99: 319–333. https://doi.org/10.1016/j.engstruct.2015.05.004.
Kavitha, P. E., K. S. Beena, and K. P. Narayanan. 2016. “A review on soil–structure interaction analysis of laterally loaded piles.” Innov. Infrastruct. Solutions 1 (1): 1–15. https://doi.org/10.1007/s41062-016-0015-x.
Kim, B. T., N. K. Kim, W. J. Lee, and Y. S. Kim. 2004. “Experimental load–transfer curves of laterally loaded piles in Nak-Dong River sand.” J. Geotech. Geoenviron. Eng. 130 (4): 416–425. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:4(416).
Kim, H. J., J. L. Mission, T. W. Park, and P. R. Dinoy. 2018. “Analysis of negative skin-friction on single piles by one-dimensional consolidation model test.” Int. J. Civ. Eng. 16 (10): 1445–1461. https://doi.org/10.1007/s40999-018-0299-7.
Kim, Y., and S. Jeong. 2011. “Analysis of soil resistance on laterally loaded piles based on 3D soil–pile interaction.” Comput. Geotech. 38 (2): 248–257. https://doi.org/10.1016/j.compgeo.2010.12.001.
Kitiyodom, P., and T. Matsumoto. 2002. “A simplified analysis method for piled raft and pile group foundations with batter piles.” Int. J. Numer. Anal. Methods Geomech. 26 (13): 1349–1369. https://doi.org/10.1002/nag.248.
Li, S. C., Q. Zhang, Q. Q. Zhang, and L. P. Li. 2014. “Field and theoretical study of the response of super-long bored pile subjected to compressive load.” Mar. Georesour. Geotechnol. 34 (1): 71–78.
Li, X. Y., J. H. Wan, S. W. Liu, and L. M. Zhang. 2020. “Numerical formulation and implementation of Euler–Bernoulli pile elements considering soil–structure-interaction responses.” Int. J. Numer. Anal. Methods Geomech. 44 (14): 1903–1925. https://doi.org/10.1002/nag.3113.
Liu, J., J. He, and B. Y. Ding. 2006. “3D finite element analysis on bearing capacity characteristics of the composite ground.” In Proc., GeoShanghai Int. Conf. 2006, Ground Modification and Seismic Mitigation, Geotechnical Special Publication 152, edited by A. Porbaha, S.-L. Shen, J. Wartman, and J.-C. Chai, 305–312. Reston, VA: ASCE.
Liu, S. W., R. Bai, S. L. Chan, and Y. P. Liu. 2016. “Second-order direct analysis of domelike structures consisting of tapered members with I-sections.” J. Struct. Eng. 142 (5): 04016009. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001464.
Liu, S. W., T. M. Chan, S. L. Chan, and K. L. So. 2017. “Direct analysis of high-strength concrete-filled-tubular columns with circular & octagonal sections.” J. Constr. Steel Res. 129: 301–314. https://doi.org/10.1016/j.jcsr.2016.11.023.
Liu, S. W., Y. P. Liu, and S. L. Chan. 2014. “Direct analysis by an arbitrarily-located-plastic-hinge element—Part 2: Spatial analysis.” J. Constr. Steel Res. 103: 316–326. https://doi.org/10.1016/j.jcsr.2014.07.010.
Liu, S. W., J. H. Wan, C. Y. Zhou, Z. Liu, and X. Yang. 2020. “Efficient beam–column finite-element method for stability design of slender single pile in soft ground mediums.” Int. J. Geomech. 20 (1): 04019148. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001542.
Muqtadir, A., and C. S. Desai. 1986. “Three-dimensional analysis of a pile-group foundation.” Int. J. Numer. Anal. Methods Geomech. 10 (1): 41–58. https://doi.org/10.1002/nag.1610100104.
Pando, M. A. 2003. “A laboratory and field study of composite piles for bridge substructures.” Ph.D. thesis, Dept. of Civil Engineering, Virginia Tech.
Psaroudakis, E. G., G. E. Mylonakis, and N. S. Klimis. 2019. “Non-linear analysis of axially loaded piles using “t–z” and “q–z” curves.” Geotech. Geol. Eng. 37 (4): 2293–2302. https://doi.org/10.1007/s10706-019-00823-2.
Reese, L. C., W. R. Cox, and F. D. Koop. 1974. “Analysis of laterally loaded piles in sand.” In Proc., 6th Annual Offshore Technology Conf., 473–485. Reston, VA: ASCE. https://doi.org/10.4043/2080-MS.
Reese, L. C., and H. Matlock. 1956. “Non-dimensional solutions for laterally loaded piles with soil modulus assumed proportional to depth.” In Proc., 8th Texas Conf., Soil Mechanics and Foundation Engineering, Geotechnical Special Publications 29, 633–649. Reston, VA: ASCE.
Sheil, B. B., B. A. McCabe, E. M. Comodromos, and B. M. Lehane. 2019. “Pile groups under axial loading: An appraisal of simplified non-linear prediction models.” Géotechnique 69 (7): 565–579. https://doi.org/10.1680/jgeot.17.R.040.
Su, D., W. M. Yan, X. H. Bao, and S. Huang. 2018. “Nondimensional solutions for laterally loaded piles in sand considering nonlinear soil–pile interactions.” Int. J. Geomech. 18 (7): 04018077. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001202.
Wang, T., W. Liu, and X. Wu. 2019. “One-dimensional modelling of pile jacking installation based on CPT tests in sand.” Géotechnique 69 (10): 877–887. https://doi.org/10.1680/jgeot.17.P.241.
Won, J., S. Y. Ahn, S. Jeong, J. Lee, and S. Y. Jang. 2006. “Nonlinear three-dimensional analysis of pile group supported columns considering pile cap flexibility.” Comput. Geotech. 33 (6–7): 355–370. https://doi.org/10.1016/j.compgeo.2006.07.007.
Won, J., K. H. You, S. Jeong, and S. Kim. 2005. “Coupled effects in stability analysis of pile–slope systems.” Comput. Geotech. 32 (4): 304–315. https://doi.org/10.1016/j.compgeo.2005.02.006.
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Published In
International Journal of Geomechanics
Volume 21 • Issue 8 • August 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Oct 11, 2020
Accepted: Feb 25, 2021
Published online: May 19, 2021
Published in print: Aug 1, 2021
Discussion open until: Oct 19, 2021
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