Ultimate Lateral Pressure of Circular Pile in Undrained Clay Considering the Strength Reduction Induced by Pile Installation
Publication: International Journal of Geomechanics
Volume 22, Issue 4
Abstract
This study analyses the classical problem of the ultimate lateral pressure (ULP) of a circular pile in undrained clay considering the undrained strength reduction induced by pile installation. A modified Tresca model considering strain softening proposed by Einav and Randolph is used to describe the variation in soil strength. The pile installation effect is evaluated through the cylindrical cavity expansion model (CEM). An analytical solution for CEM considering the undrained strength reduction is derived by introducing the modified Tresca model. The analytical solution is validated by comparison with the theoretical prediction and the three-dimensional (3D) large deformation finite-element results through CEL in ABAQUS. Subsequently, the obtained analytical solution for the radially nonuniform distribution of undrained strength is read into Optum G2 to conduct a two-dimensional plane strain finite-element limit analysis (FELA). A series of parametric studies are performed to investigate the influence of strain softening on the ULP. A closed-form solution for ULP considering the pile installation effect is given through the regression analysis of FELA data. The present analysis first considers the pile installation effect on ULP and could provide a basis for constructing the p–y model of a laterally loaded pile considering the pile installation.
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Acknowledgments
The work was supported by the National Natural Science Foundation of China (Grant Nos. 51978105 and 52027812).
References
Au, A. S., A. T. Yeung, and K. Soga. 2006. “Pressure-controlled cavity expansion in clay.” Can. Geotech. J. 43 (7): 714–725. https://doi.org/10.1139/t06-037.
Au, S. K. A., A. T. Yeung, K. Soga, and Y. M. Cheng. 2007. “Effects of subsurface cavity expansion in clays.” Géotechnique 57 (10): 821–830. https://doi.org/10.1680/geot.2007.57.10.821.
Broms, B. B. 1964. “Lateral resistance of piles in cohesive soils.” J. Soil Mech. Found. Div. 90 (2): 27–64. https://doi.org/10.1061/JSFEAQ.0000611.
Cao, L. F., C. I. Teh, and M. F. Chang. 2001. “Undrained cavity expansion in modified cam clay I: Theoretical analysis.” Géotechnique 51 (4): 323–334. https://doi.org/10.1680/geot.2001.51.4.323.
Einav, I., and M. Randolph. 2005. “Combining upper bound and strain path methods for evaluating penetration resistance.” Int. J. Numer. Methods Eng 63 (14): 1991–2016. https://doi.org/10.1002/nme.1350.
Georgiadis, K., S. W. Sloan, and A. V. Lyamin. 2013a. “Ultimate lateral pressure of two side-by-side piles in clay.” Géotechnique 63 (9): 733–745. https://doi.org/10.1680/geot.12.P.030.
Georgiadis, K., S. W. Sloan, and A. V. Lyamin. 2013b. “Effect of loading direction on the ultimate lateral soil pressure of two piles in clay.” Géotechnique 63 (13): 1170–1175. https://doi.org/10.1680/geot.13.T.003.
Georgiadis, K., S. W. Sloan, and A. V. Lyamin. 2013c. “Undrained limiting lateral soil pressure on a row of piles.” Comput. Geotech. 54: 175–184. https://doi.org/10.1016/j.compgeo.2013.07.003.
Li, L., J. Li, D. A. Sun, and W. Gong. 2017a. “Analysis of time-dependent bearing capacity of a driven pile in clayey soils by total stress method.” Int. J. Geomech. 17 (7): 04016156. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000860.
Li, L., J. Li, D. A. Sun, and W. Gong. 2017b. “A semi-analytical approach for time-dependent load–settlement response of a jacked pile in clay strata.” Can. Geotech. J 54 (12): 1682–1692. https://doi.org/10.1139/cgj-2016-0561.
Li, L., J. Li, D. A. Sun, and L. Zhang. 2017c. “Time-dependent bearing capacity of a jacked pile: An analytical approach based on effective stress method.” Ocean. Eng. 143: 177–185. https://doi.org/10.1016/j.oceaneng.2017.08.010.
Liu, H., H. Zhou, and G. Kong. 2014. “XCC pile installation effect in soft soil ground: A simplified analytical model.” Comput. Geotech. 62: 268–282. https://doi.org/10.1016/j.compgeo.2014.07.007.
Liu, H., H. Zhou, and G. Kong. 2016. “Upper-bound solution for flat cavity expansion model.” J. Eng. Mech. 142 (7): 04016035. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001084.
Liu, H., H. Zhou, G. Kong, H. Qin, and Y. Zha. 2017. “High pressure jet-grouting column installation effect in soft soil: Theoretical model and field application.” Comput. Geotech. 88: 74–94. https://doi.org/10.1016/j.compgeo.2017.03.005.
Marchetti, S. 1980. “In situ tests by flat dilatometer.” J. Geotech. Geoenviron. 106 (3): 299–321.
Marshall, A. M. 2012. “Tunnel–pile interaction analysis using cavity expansion methods.” J. Geotech. Geoenviron. 138 (10): 1237–1246. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000709.
Marshall, A. M., and R. J. Mair. 2011. “Tunneling beneath driven or jacked end-bearing piles in sand.” Can. Geotech. J. 48 (12): 1757–1771. https://doi.org/10.1139/t11-067.
Martin, C. M., and M. Randolph. 2006. “Upper-bound analysis of lateral pile capacity in cohesive soil.” Geotechnique 56 (2): 141–145. https://doi.org/10.1680/geot.2006.56.2.141.
Mo, P. Q., A. M. Marshall, and H. S. Yu. 2017. “Interpretation of cone penetration test data in layered soils using cavity expansion analysis.” J. Geotech. Geoenviron. 143 (1): 04016084. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001577.
Osman, A. S., and M. F. Randolph. 2012. “Analytical solution for the consolidation around a laterally loaded pile.” Int. J. Geomech. 12 (3): 199–208. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000123.
Palmer, A. C. 1972. “Undrained plane-strain expansion of a cylindrical cavity in clay: A simple interpretation of the pressuremeter test.” Géotechnique 22 (3): 451–457. https://doi.org/10.1680/geot.1972.22.3.451.
Randolph, M. F., J. P. Carter, and C. P. Wroth. 1979. “Driven piles in clay—The effects of installation and subsequent consolidation.” Géotechnique 29 (4): 361–393. https://doi.org/10.1680/geot.1979.29.4.361.
Randolph, M. F., and G. T. Houlsby. 1984. “The limiting pressure on a circular pile loaded laterally in cohesive soil.” Géotechnique 34 (4): 613–623. https://doi.org/10.1680/geot.1984.34.4.613.
Salgado, R., J. K. Mitchell, and M. Jamiolkowski. 1997. “Cavity expansion and penetration resistance in sand.” J. Geotech. Geoenviron 123 (4): 344–354. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:4(344).
Shuttle, D. 2007. “Cylindrical cavity expansion and contraction in Tresca soil.” Géotechnique 57 (3): 305–308. https://doi.org/10.1680/geot.2007.57.3.305.
Wang, D., B. Bienen, M. Nazem, Y. Tian, J. Zheng, T. Pucker, and M. F. Randolph. 2015. “Large deformation finite element analyses in geotechnical engineering.” Comput. Geotech. 65: 104–114. https://doi.org/10.1016/j.compgeo.2014.12.005.
Wang, S. Y., D. H. Chan, K. C. Lam, and S. K. A. Au. 2010. “Numerical and experimental studies of pressure-controlled cavity expansion in completely decomposed granite soils of Hong Kong.” Comput. Geotech. 37 (7–8): 977–990. https://doi.org/10.1016/j.compgeo.2010.08.006.
Xia, H. W., and I. D. Moore. 2006. “Estimation of maximum mud pressure in purely cohesive material during directional drilling.” Geomech. Geoeng. 1 (1): 3–11. https://doi.org/10.1080/17486020600604024.
Yu, H. S., J. P. Carter, and J. R. Booker. 1992. “Analysis of the dilatometer test in undrained clay.” In Predictive Soil Mechanics: Proc. of the Wroth Memorial Symp. held at St Catherine’s College, 27–29 July: 783–795. London: Thomas Telford.
Zhao, Z., D. Li, F. Zhang, and Y. Qiu. 2017a. “Ultimate lateral bearing capacity of tetrapod jacket foundation in clay.” Comput. Geotech. 84: 164–173. https://doi.org/10.1016/j.compgeo.2016.12.005.
Zhao, Z., G. P. Kouretzis, S. W. Sloan, and Y. Gao. 2017b. “Ultimate lateral resistance of tripod pile foundation in clay.” Comput. Geotech. 92: 220–228. https://doi.org/10.1016/j.compgeo.2017.08.012.
Zhou, H., G. Kong, P. Li, and H. Liu. 2016. “Flat cavity expansion: Theoretical model and application to the interpretation of the flat dilatometer test.” J. Eng. Mech. 142 (1): 04015058. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000957.
Zhou, H., H. Liu, G. Kong, and Z. Cao. 2014. “Analytical solution for pressure-controlled elliptical cavity expansion in elastic–perfectly plastic soil.” Geotech. Lett. 4 (2): 72–78. https://doi.org/10.1680/geolett.14.00004.
Zhou, H., H. Liu, Y. Li, and X. Ding. 2020. “Limit lateral resistance of XCC pile group in undrained soil.” Acta. Geotech. 15 (6): 1673–1683. https://doi.org/10.1007/s11440-019-00855-1.
Zhou, H., H. Liu, L. Wang, and G. Kong. 2018a. “Finite element limit analysis of ultimate lateral pressure of XCC pile in undrained clay.” Comput. Geotech. 95: 240–246. https://doi.org/10.1016/j.compgeo.2017.10.015.
Zhou, H., J. Yuan, H. Liu, and G. Kong. 2018b. “Analytical model for evaluating XCC pile shaft capacity in soft soil by incorporating penetration effects.” Soils Found. 58 (5): 1093–1112. https://doi.org/10.1016/j.sandf.2018.04.005.
Zhou, H., H. Liu, and J. Yuan. 2018c. “A novel analytical approach for predicting the noncylindrical pile penetration-induced soil displacement in undrained soil by combining use of cavity expansion and strain path methods.” Int. J. Numer. Anal. Methods Geomech. 42 (11): 1270–1305. https://doi.org/10.1002/nag.2790.
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Published In
International Journal of Geomechanics
Volume 22 • Issue 4 • April 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Aug 16, 2021
Accepted: Nov 20, 2021
Published online: Feb 2, 2022
Published in print: Apr 1, 2022
Discussion open until: Jul 2, 2022
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