Technical Papers
Aug 26, 2022

Investigation of the Load–Settlement Response of Piles in Sand Using an Interface Constitutive Model

Publication: International Journal of Geomechanics
Volume 22, Issue 11

Abstract

A semianalytical approach has been developed to investigate the nonlinear load–settlement behavior of bored single piles and pile groups embedded in sands. A more rigorous load-transfer function for the pile shaft, adopted to describe the pile–soil interface behavior, is derived from a damage constitutive model of the soil–structure interface. The interface model employed is capable of capturing the strain-hardening/softening and bulk dilatancy properties of the pile–soil interface and reflecting the degradation of the pile shaft skin friction. Meanwhile, an existing analytical solution has been applied to approximately describe the elastic stress–displacement relationship of soils outside the pile–soil interface during shearing. Moreover, the nonlinear stress–displacement relationship of soils at the pile base is simulated by a hyperbolic model considering the particle-crushing behavior of soils. Model parameters can easily be calibrated from laboratory interface shear tests and the physical properties of soils. Based on the matrix displacement method, the governing equation of the load–settlement response for bored piles is computed via an efficient iterative algorithm developed in terms of the midpoint incremental method. The pile-to-pile elastic interaction and the reinforcement effect of neighboring piles are incorporated into the investigation of pile groups. The present approach is verified by comparison with the existing theoretical approach, centrifuge tests, and model pile tests. Extensive parameter investigations are performed to systematically explore the load–settlement response of the single pile and pile groups.

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Data Availability Statement

All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The authors acknowledge the financial support provided by the National Natural Science Foundation of China (Grant No. 41972274).

References

Al-Khazaali, M., and S. K. Vanapalli. 2019. “Experimental investigation of single model pile and pile group behavior in saturated and unsaturated sand.” J. Geotech. Geoenviron. Eng. 145 (12): 04019112. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002176.
Alwalan, M. F., and M. H. El Naggar. 2021. “Load-transfer mechanism of helical piles under compressive and impact loading.” Int. J. Geomech. 21 (6): 04021082. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002037.
Ashour, M., and A. Abbas. 2021. “Mobilized response of piles subjected to downdrag.” Int. J. Geomech. 21 (8): 06021019. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002087.
Bohn, C., A. Lopes dos Santos, and R. Frank. 2017. “Development of axial pile load transfer curves based on instrumented load tests.” J. Geotech. Geoenviron. Eng. 143 (1): 04016081. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001579.
Boonyatee, T., and Q. Van Lai. 2020. “A non-linear load transfer method for determining the settlement of piles under vertical loading.” Int. J. Geotech. Eng. 14 (2): 206–217. https://doi.org/10.1080/19386362.2017.1410337.
Cai, G., S. Liu, L. Tong, and G. Du. 2009. “Assessment of direct CPT and CPTU methods for predicting the ultimate bearing capacity of single piles.” Eng. Geol. 104 (3–4): 211–222. https://doi.org/10.1016/j.enggeo.2008.10.010.
Cao, W., Y. Chen, and W. E. Wolfe. 2014. “New load transfer hyperbolic model for pile–soil interface and negative skin friction on single piles embedded in soft soils.” Int. J. Geomech. 14 (1): 92–100. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000289.
Caputo, V., and C. Viggiani. 1984. “Pile foundation analysis: A simple approach to nonlinearity effects.” Riv Ital di Geotecn 18 (1): 32–51.
Chow, Y. K. 1986. “Analysis of vertically loaded pile groups.” Int. J. Numer. Anal. Methods Geomech. 10 (1): 59–72. https://doi.org/10.1002/nag.1610100105.
Clough, G. W., and J. M. Duncan. 1971. “Finite element analyses of retaining wall behavior.” J. Soil Mech. Found. Div. 97 (12): 1657–1673. https://doi.org/10.1061/JSFEAQ.0001713.
Comodromos, E. M., M. C. Papadopoulou, and I. K. Rentzeperis. 2009. “Pile foundation analysis and design using experimental data and 3-D numerical analysis.” Comput. Geotech. 36 (5): 819–836. https://doi.org/10.1016/j.compgeo.2009.01.011.
Coyle, H. M., and L. C. Reese. 1966. “Load transfer for axially loaded piles in clay.” J. Soil Mech. Found. Div. 92 (2): 1–26. https://doi.org/10.1061/JSFEAQ.0000850.
Desai, C. S., and Y. Ma. 1992. “Modelling of joints and interfaces using the disturbed-state concept.” Int. J. Numer. Anal. Methods Geomech. 16 (9): 623–653. https://doi.org/10.1002/nag.1610160903.
Fakharian, K., and E. Evgin. 2000. “Elasto-plastic modelling of stress-path-dependent behaviour of interfaces.” Int. J. Numer. Anal. Methods Geomech. 24 (2): 183–199. https://doi.org/10.1002/(SICI)1096-9853(200002)24:2%3C183::AID-NAG63%3E3.0.CO;2-3.
Fioravante, V. 2002. “On the shaft friction modelling of non-displacement piles in sand.” Soils Found. 42 (2): 23–33. https://doi.org/10.3208/sandf.42.2_23.
Fleming, W. G. K. 1992. “A new method for single pile settlement prediction and analysis.” Géotechnique 42 (3): 411–425. https://doi.org/10.1680/geot.1992.42.3.411.
Frank, R., and S. R. Zhao. 1982. “Estimation à partir des paramètres pressiométriques de l’enfoncement sous charge axiale de pieux forés dans des sols fins.” Bull. Liaison Lab Ponts Chaussées 119: 17–24.
Gholampour, A., and A. Johari. 2019. “Reliability-based analysis of braced excavation in unsaturated soils considering conditional spatial variability.” Comput. Geotech. 115: 103163. https://doi.org/10.1016/j.compgeo.2019.103163.
Guo, W. D. 2000. “Visco-elastic load transfer models for axially loaded piles.” Int. J. Numer. Anal. Methods Geomech. 24 (2): 135–163. https://doi.org/10.1002/(SICI)1096-9853(200002)24:2%3C135::AID-NAG56%3E3.0.CO;2-8.
Guo, W. D., and M. F. Randolph. 1999. “An efficient approach for settlement prediction of pile groups.” Géotechnique 49 (2): 161–179. https://doi.org/10.1680/geot.1999.49.2.161.
Hirayama, H. 1990. “Load–settlement analysis for bored piles using hyperbolic transfer functions.” Soils Found. 30 (1): 55–64. https://doi.org/10.3208/sandf1972.30.55.
Hu, L. M. 2000. “Study on mechanical characteristics of soil–structure interface and its application.” Ph.D. thesis, Institute of Geotechnical Engineering, Dept. of Hydraulic Engineering, Tsinghua Univ.
Hu, L., and J. L. Pu. 2003. “Application of damage model for soil–structure interface.” Comput. Geotech. 30 (2): 165–183. https://doi.org/10.1016/S0266-352X(02)00059-9.
Hu, L., and J. Pu. 2004. “Testing and modeling of soil–structure interface.” J. Geotech. Geoenviron. Eng. 130 (8): 851–860. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:8(851).
Huang, M., C. Zhang, and Z. Li. 2009. “A simplified analysis method for the influence of tunneling on grouped piles.” Tunnelling Underground Space Technol. 24 (4): 410–422. https://doi.org/10.1016/j.tust.2008.11.005.
Jardine, R. J. 1996. New design methods for offshore piles. Publication MTD 96/103. London: Marine Technology Directorate.
Jardine, R. J., F. C. Chow, R. Overy, and J. Standing. 2005. ICP design methods for driven piles in sands and clays. London: Thomas Telford.
Jewell, R. A. 1989. “Direct shear tests on sand.” Géotechnique 39 (2): 309–322. https://doi.org/10.1680/geot.1989.39.2.309.
Johari, A., and A. M. Lari. 2016. “System reliability analysis of rock wedge stability considering correlated failure modes using sequential compounding method.” Int. J. Rock Mech. Min. Sci. 82: 61–70. https://doi.org/10.1016/j.ijrmms.2015.12.002.
Johari, A., and A. R. Kalantari. 2021. “System reliability analysis of soldier-piled excavation in unsaturated soil by combining random finite element and sequential compounding methods.” Bull. Eng. Geol. Environ. 80 (3): 2485–2507. https://doi.org/10.1007/s10064-020-02022-3.
Johari, A., and A. Talebi. 2021. “Stochastic analysis of piled-raft foundations using the random finite-element method.” Int. J. Geomech. 21 (4): 04021020. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001966.
Kraft, L. M. Jr., R. P. Ray, and T. Kagawa. 1981. “Theoretical tz curves.” J. Geotech. Eng. 107 (11): 1543–1561.
Lee, C. J., and C. W. W. Ng. 2004. “Development of downdrag on piles and pile groups in consolidating soil.” J. Geotech. Geoenviron. Eng. 130 (9): 905–914. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:9(905).
Lee, C. Y. 1991. “Discrete layer analysis of axially loaded piles and pile groups.” Comput. Geotech. 11 (4): 295–313. https://doi.org/10.1016/0266-352X(91)90014-7.
Lee, J. H., and R. Salgado. 1999. “Determination of pile base resistance in sands.” J. Geotech. Geoenviron. Eng. 125 (8): 673–683. https://doi.org/10.1061/(ASCE)1090-0241(1999)125:8(673).
Lee, K. M., and Z. R. Xiao. 2001. “A simplified nonlinear approach for pile group settlement analysis in multilayered soils.” Can. Geotech. J. 38 (5): 1063–1080. https://doi.org/10.1139/t01-034.
Li, J., X. Wang, Y. Guo, and X. Yu. 2019. “Vertical bearing capacity of the pile foundation with restriction plate via centrifuge modelling.” Ocean Eng. 181: 109–120. https://doi.org/10.1016/j.oceaneng.2019.04.026.
Li, L., and W. Gong. 2019. “Prediction of nonlinear vertical settlement of a pile group consisting of new and existing displacement piles in clay strata.” Soils Found. 59 (5): 1336–1348. https://doi.org/10.1016/j.sandf.2019.06.001.
Li, L., J. Li, D. Sun, and W. Gong. 2017. “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.
Lings, M. L., and M. S. Dietz. 2004. “An improved direct shear apparatus for sand.” Géotechnique 54 (4): 245–256. https://doi.org/10.1680/geot.2004.54.4.245.
Liu, J., H. B. Xiao, J. Tang, and Q. S. Li. 2004. “Analysis of load-transfer of single pile in layered soil.” Comput. Geotech. 31 (2): 127–135. https://doi.org/10.1016/j.compgeo.2004.01.001.
Liu, H., E. Song, and H. I. Ling. 2006. “Constitutive modeling of soil–structure interface through the concept of critical state soil mechanics.” Mech. Res. Commun. 33 (4): 515–531. https://doi.org/10.1016/j.mechrescom.2006.01.002.
Malik, A. A., J. Kuwano, S. Tachibana, and T. Maejima. 2017. “End bearing capacity comparison of screw pile with straight pipe pile under similar ground conditions.” Acta Geotech. 12 (2): 415–428. https://doi.org/10.1007/s11440-016-0482-4.
Mroueh, H., and I. Shahrour. 2002. “Three-dimensional finite element analysis of the interaction between tunneling and pile foundations.” Int. J. Numer. Anal. Methods Geomech. 26 (3): 217–230. https://doi.org/10.1002/nag.194.
Mylonakis, G., and G. Gazetas. 1998. “Settlement and additional internal forces of grouped piles in layered soil.” Géotechnique 48 (1): 55–72. https://doi.org/10.1680/geot.1998.48.1.55.
Ng, C. W. W., S. H. Chan, and S. Y. Lam. 2005. “Centrifuge and numerical modeling of shielding effects on piles in consolidating soil.” In Proc., 2nd China–Japan Geotechnical Symp., 7–19. Shanghai: Tongji Univ. Press.
Ni, P., L. Song, G. Mei, and Y. Zhao. 2017. “Generalized nonlinear softening load-transfer model for axially loaded piles.” Int. J. Geomech. 17 (8): 04017019. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000899.
Randolph, M. F., and C. P. Wroth. 1978. “Analysis of deformation of vertically loaded piles.” J. Geotech. Eng. Div. 104 (12): 1465–1488. https://doi.org/10.1061/AJGEB6.0000729.
Randolph, M. F., and C. P. Wroth. 1979. “An analysis of the vertical deformation of pile groups.” Géotechnique 29 (4): 423–439. https://doi.org/10.1680/geot.1979.29.4.423.
Randolph, M. F., and C. P. Wroth. 1981. “Application of the failure state in undrained simple shear to the shaft capacity of driven piles.” Géotechnique 31 (1): 143–157. https://doi.org/10.1680/geot.1981.31.1.143.
Saberi, M., C.-D. Annan, and J.-M. Konrad. 2019. “Implementation of a soil–structure interface constitutive model for application in geo-structures.” Soil Dyn. Earthquake Eng. 116: 714–731. https://doi.org/10.1016/j.soildyn.2018.11.001.
Seed, H. B., and L. C. Reese. 1957. “The action of soft clay along friction piles.” Trans. Am. Soc. Civ. Eng. 122 (1): 731–754. https://doi.org/10.1061/TACEAT.0007501.
Sinha, A., and A. M. Hanna. 2017. “3D numerical model for piled raft foundation.” Int. J. Geomech. 17 (2): 04016055. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000674.
Tatsuoka, F., S. Goto, and M. Sakamoto. 1986. “Effects of some factors on strength and deformation characteristics of sand at low pressures.” Soils Found. 26 (1): 105–114. https://doi.org/10.3208/sandf1972.26.105.
Wang, Z., X. Xie, and J. Wang. 2012. “A new nonlinear method for vertical settlement prediction of a single pile and pile groups in layered soils.” Comput. Geotech. 45: 118–126. https://doi.org/10.1016/j.compgeo.2012.05.011.
Xu, K. J., and H. G. Poulos. 2000. “General elastic analysis of piles and pile groups.” Int. J. Numer. Anal. Methods Geomech. 24 (15): 1109–1138. https://doi.org/10.1002/1096-9853(20001225)24:15%3C1109::AID-NAG72%3E3.0.CO;2-N.
Xu, M., P. Ni, G. Mei, and Y. Zhao. 2018. “Load–settlement behaviour of bored piles with loose sediments at the pile tip: Experimental, numerical and analytical study.” Comput. Geotech. 102: 92–101. https://doi.org/10.1016/j.compgeo.2018.06.010.
Yasufuku, N., H. Ochiai, and S. Ohno. 2001. “Pile end-bearing capacity of sand related to soil compressibility.” Soils Found. 41 (4): 59–71. https://doi.org/10.3208/sandf.41.4_59.
Zhang, Q.-q., R.-f. Feng, Y.-l. Yu, S.-w. Liu, and J.-g. Qian. 2019. “Simplified approach for prediction of nonlinear response of bored pile embedded in sand.” Soils Found. 59 (5): 1562–1578. https://doi.org/10.1016/j.sandf.2019.07.011.
Zhang, Q.-q., and Z.-m. Zhang. 2012. “A simplified nonlinear approach for single pile settlement analysis.” Can. Geotech. J. 49 (11): 1256–1266. https://doi.org/10.1139/t11-110.
Zhang, Q.-Q., Z.-M. Zhang, and J.-Y. He. 2010. “A simplified approach for settlement analysis of single pile and pile groups considering interaction between identical piles in multilayered soils.” Comput. Geotech. 37 (7–8): 969–976. https://doi.org/10.1016/j.compgeo.2010.08.003.
Zhang, Z., M. Huang, C. Xu, Y. Jiang, and W. Wang. 2018. “Simplified solution for tunnel–soil–pile interaction in Pasternak’s foundation model.” Tunnelling Underground Space Technol. 78: 146–158. https://doi.org/10.1016/j.tust.2018.04.025.
Zhang, Z., et al. 2021. “A measuring method for layered compactness of loess subgrade based on hydraulic compaction.” Meas. Sci. Technol. 32 (5): 055106. https://doi.org/10.1088/1361-6501/abd7ab.
Zhao, H., J. Hou, L. Zhang, and C. Zhang. 2020. “Vertical load transfer for bored piles buried in cohesive intermediate geomaterials.” Int. J. Geomech. 20 (10): 04020172. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001810.
Zhou, C., P. Tai, and J.-H. Yin. 2020a. “A bounding surface model for saturated and unsaturated soil–structure interfaces.” Int. J. Numer. Anal. Methods Geomech. 44 (18): 2412–2429. https://doi.org/10.1002/nag.3123.
Zhou, J., C. Zhou, Q. Feng, and T. Gao. 2020b. “Analytical model for load-transfer mechanism of rock-socketed drilled piles: Considering bond strength of the concrete–rock interface.” Int. J. Geomech. 20 (6): 04020059. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001672.
Zhou, Z., Z. Zhang, C. Chen, F. Xu, T. Xu, L. Zhu, and T. Liu. 2021. “Application of load transfer method for bored pile in loess area.” Eur. J. Environ. Civ. Eng. 26 (10): 4457–4475. https://doi.org/10.1080/19648189.2020.1854125.
Zhu, H., and M.-F. Chang. 2002. “Load transfer curves along bored piles considering modulus degradation.” J. Geotech. Geoenviron. Eng. 128 (9): 764–774. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:9(764).

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 22Issue 11November 2022

History

Received: Jan 16, 2022
Accepted: Jun 4, 2022
Published online: Aug 26, 2022
Published in print: Nov 1, 2022
Discussion open until: Jan 26, 2023

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Dept. of Geotechnical Engineering, Tongji Univ., 1239 Siping Rd., Shanghai 200092, China. Email: [email protected]
Dept. of Geotechnical Engineering, Tongji Univ., 1239 Siping Rd., Shanghai 200092, China (corresponding author). Email: [email protected]
Gengyun Liu [email protected]
Dept. of Geotechnical Engineering, Tongji Univ., 1239 Siping Rd., Shanghai 200092, China. Email: [email protected]
Dept. of Geotechnical Engineering, Tongji Univ., 1239 Siping Rd., Shanghai 200092, China. Email: [email protected]
Yinghui Nie [email protected]
Dept. of Geotechnical Engineering, Tongji Univ., 1239 Siping Rd., Shanghai 200092, China. Email: [email protected]

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