Technical Papers
May 11, 2022

Kinematic Soil–Pile Interaction under Earthquake-Induced Nonlinear Soil and Pile Behavior: An Equivalent-Linear Approach

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 148, Issue 7

Abstract

The kinematic bending and filtering potential of a fixed-head pile are explored when large shear strains are generated in the surrounding soil during the passage of seismic waves. The problem is treated numerically by employing a freely available 1D code to derive soil response at free-field conditions and an advanced 3D finite-difference (FD) model of the soil-pile system. Three idealized soil profiles with varying stiffness and strength and a real layered site are considered under earthquake excitations of increasing intensity, allowing investigation of the pile’s non-linear kinematic response under shear strains exceeding the threshold of an equivalent-linear approximation. Simple analytical solutions are revisited in the context of soil response close to failure, by means of the FD solution, and an equivalent linear approach is proposed for assessing kinematic pile-head bending and filtering action in the presence of large earthquake-induced shear strains in the soil and non-linear pile behavior. A practice-oriented procedure requiring only a pertinent 1D soil response analysis is proposed to address kinematic effects in seismic design of piles.

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Data Availability Statement

Data regarding FLAC, ANSYS, and DEEPSOIL analyses are available from the corresponding author upon reasonable request.

Acknowledgments

The authors wish to thank ITASCA for a loan of software within the Itasca Education Partnership (IEP). The corresponding author wishes to thank Universita della Campania Luigi Vanvitelli for partially funding this work through Programma V:ALERE 2020, Project “Piles AS SEismic vulnerability Reduction Appliances.”

References

Afacan, K. B., S. J. Brandenberg, and J. P. Stewart. 2014. “Centrifuge modeling studies of site response in soft clay over wide strain range.” J. Geotech. Geoenviron. Eng. 140 (2): 04013003. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001014.
Ancheta, T., et al. 2013. PEER NGA-West2 database. Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Anoyatis, G., R. Di Laora, A. Mandolini, and G. Mylonakis. 2013. “Kinematic response of single piles for different boundary conditions: Analytical solutions and normalization schemes.” Soil Dyn. Earthquake Eng. 44 (Jan): 183–195. https://doi.org/10.1016/j.soildyn.2012.09.011.
CEB-FIP (Comité Euro-International du Béton). 1993. CEB-FIP model code 1990. London: Telford.
CEN (European Committee for Standardization). 2004. Design of structures for earthquake resistance, Part 1: General rules, seismic actions and rules for buildings. EN 1998-4. Brussels, Belgium: CEN.
Conti, R., R. Di Laora, V. Licata, M. Iovino, and L. de Sanctis. 2020. “Seismic performance of bridge piers: Caisson vs pile foundations.” Soil Dyn. Earthquake Eng. 130 (Mar): 105985. https://doi.org/10.1016/j.soildyn.2019.105985.
de Sanctis, L., R. M. S. Maiorano, and S. Aversa. 2010. “A method for assessing kinematic bending moments at the pile head.” Earthquake Eng. Struct. Dyn. 39 (10): 1133–1154. https://doi.org/10.1002/eqe.996.
Dezi, F., S. Carbonari, and G. Leoni. 2010. “Kinematic bending moments in pile foundations.” Soil Dyn. Earthquake Eng. 30 (3): 119–132. https://doi.org/10.1016/j.soildyn.2009.10.001.
Di Laora, R., and L. de Sanctis. 2013. “Piles-induced filtering effect on the foundation input motion.” Soil Dyn. Earthquake Eng. 46 (Mar): 52–63. https://doi.org/10.1016/j.soildyn.2012.12.007.
Di Laora, R., A. Mandolini, and G. Mylonakis. 2012. “Insight on kinematic bending of flexible piles in layered soil.” Soil Dyn. Earthquake Eng. 43 (Dec): 309–322. https://doi.org/10.1016/j.soildyn.2012.06.020.
Di Laora, R., G. Mylonakis, and A. Mandolini. 2017. “Size limitations for piles in seismic regions.” Earthquake Spectra 33 (2): 729–756. https://doi.org/10.1193/032116EQS045M.
Di Laora, R., and E. Rovithis. 2015. “Kinematic bending of fixed-head piles in nonhomogeneous soil.” J. Geotech. Eng. Div. 141 (4): 04014126. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001270.
Di Laora, R., and E. Rovithis. 2021. “Design of piles under seismic loading.” In Analysis of pile foundations subject to static and dynamic loading, edited by A. M. Kaynia. Leiden, Netherlands: CRC Press. https://doi.org/10.1201/9780429354281-8.
Dobry, R., and M. J. O’Rourke. 1983. “Discussion of ‘Seismic response of end-bearing piles’ by Raul Flores-Berrones and Robert V. Whitman.” J. Geotech. Eng. Div. 109 (5): 778–781. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:5(778).
Elgamal, A., L. Yan, Z. Yang, and J. P. Conte. 2008. “Three-dimensional seismic response of Humboldt Bay bridge-foundation-ground system.” J. Struct. Eng. 134 (7): 1165–1176. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:7(1165).
Flores-Berrones, R., and R. V. Whitman. 1982. “Seismic response of end-bearing piles.” J. Geotech. Eng. Div. 108 (4): 554–569. https://doi.org/10.1061/AJGEB6.0001275.
Garala, T. K., and G. S. P. Madabhushi. 2019. “Seismic behaviour of soft clay and its influence on the response of friction pile foundations.” Bull. Earthquake Eng. 17 (4): 1919–1939. https://doi.org/10.1007/s10518-018-0508-4.
Garala, T. K., G. S. P. Madabhushi, and R. Di Laora. 2022. “Experimental investigation of kinematic pile bending in layered soils using dynamic centrifuge modelling.” Géotechnique 72 (2): 146–161. https://doi.org/10.1680/jgeot.19.P.185.
Gazetas, G. 1984. “Seismic response of end-bearing single piles.” Soil Dyn. Earthquake Eng. 3 (2): 82–93. https://doi.org/10.1016/0261-7277(84)90003-2.
Groholski, D. R., Y. M. A. Hashash, B. Kim, M. Musgrove, J. Harmon, and J. P. Stewart. 2016. “Simplified model for small-strain nonlinearity and strength in 1D seismic response analysis.” J. Geotech. Geoenviron. Eng. 142 (9): 04016042. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001496.
Groholski, D. R., Y. M. A. Hashash, M. Musgrove, J. Harmon, and B. Kim. 2015. “Evaluation of 1-D non-linear site response analysis using a general quadratic/hyperbolic strength-controlled constitutive model.” In Proc., 6th Int. Conf. on Earthquake Geotechnical Engineering. London: International Society for Soil Mechanics and Geotechnical Engineering.
Hardin, B. O., and F. E. Richart Jr. 1963. “Elastic wave velocities in granular soils.” J. Soil Mech. Found. Div. 89 (1): 33–65. https://doi.org/10.1061/JSFEAQ.0000493.
Hashash, Y. M. A., M. I. Musgrove, J. A. Harmon, D. R. Groholski, C. A. Philips, and D. Park. 2016. DEEPSOIL 6.1 user manual. Urbana, IL: Board of Trustees of Univ. of Illinois at Urbana–Champaign.
Iovino, M., R. Di Laora, E. Rovithis, and L. de Sanctis. 2019. “The beneficial role of piles on the seismic loading of structures.” Earthquake Spectra 35 (3): 1141–1162. https://doi.org/10.1193/061318EQS146M.
Itasca. 2017. Fast Lagrangian analysis of continua (FLAC3D 6.00). Minneapolis: Itasca Consulting Group.
Kaklamanos, J., B. A. Bradley, E. M. Thompson, and L. G. Baise. 2013. “Critical parameters affecting bias and variability in site-response analyses using KiK-net downhole array data.” Bull. Seismol. Soc. Am. 103 (3): 1733–1749. https://doi.org/10.1785/0120120166.
Karatzia, X., and G. Mylonakis. 2016. “Discussion of ‘Kinematic bending of fixed-head piles in nonhomogeneous soil’ by Raffaele Di Laora and Emmanouil Rovithis.” J. Geotech. Geoenviron. Eng. 142 (2): 07015042. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001450.
Kawamura, S., S. H. Umemura, and Y. Osawa. 1977. “Earthquake motion measurement of a pile supported building on reclaimed ground.” In Proc., 6th World Conf. on Earthquake Engineering. Kanpur, India: Indian Institute of Technology.
Kaynia, A. M., and E. Kausel. 1991. “Dynamics of piles and pile groups in layered soil media.” Soil Dyn. Earthquake Eng. 10 (8): 386–401. https://doi.org/10.1016/0267-7261(91)90053-3.
Kuhlemeyer, R. L., and J. Lysmer. 1973. “Finite element method accuracy for wave propagation problems.” J. Soil Mech. Found. Div. 99 (5): 421–427. https://doi.org/10.1061/JSFEAQ.0001885.
Kwok, A. O. L., J. P. Stewart, Y. M. A. Hashash, N. Matasovic, R. Pyke, Z. Wang, and Z. Yang. 2007. “Use of exact solutions of wave propagation problems to guide implementation of nonlinear seismic ground response analysis procedures.” J. Geotech. Geoenviron. Eng. 133 (11): 1385–1398. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:11(1385).
Ladd, C. C., R. Foott, K. Ishihara, F. Schlosser, and H. G. Poulos. 1977. “Stress deformation and strength characteristics.” In Vol. 2 of Proc., 9th Int. Conf. on Soil Mechanics and Foundation Engineering, 421–494. Tokyo: Japanese Society of Soil Mechanics and Foundation Engineering.
Licata, V., E. Mittiga, A. Micheli, R. Conti, and R. Di Laora. 2019. “Seismic design of deep pier foundations in very soft clayey soils.” In Proc., 7th Int. Conf. on Earthquake Geotechnical Engineering, edited by F. Silvestri and N. Moraci. Leiden, Netherlands: CRC Press.
Maiorano, R. M. S., L. de Sanctis, S. Aversa, and A. Mandolini. 2009. “Kinematic response analysis of piled foundations under seismic excitations.” Can. Geotech. J. 46 (5): 571–584. https://doi.org/10.1139/T09-004.
Mamoon, S. M., and P. K. Banerjee. 1990. “Response of piles and pile groups to travelling SH-waves.” Earthquake Eng. Struct. Dyn. 19 (4): 597–610. https://doi.org/10.1002/eqe.4290190410.
Mander, J. B., M. J. N. Priestley, and R. Park. 1988. “Theoretical stress-strain model for confined concrete.” J. Struct. Eng. 114 (8): 1804–1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804).
Matasovic, N. 1993. “Seismic response of composite horizontally-layered soil deposits.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of California.
Mizuno, H. 1987. “Pile damage during earthquake in Japan (1923–1983).” In Dynamic response of pile foundations, edited by T. Nogami, 53–78. Reston, VA: ASCE.
Mucciacciaro, M., and S. Sica. 2018. “Nonlinear soil and pile behaviour on kinematic bending response of flexible piles.” Soil Dyn. Earthquake Eng. 107 (Apr): 195–213. https://doi.org/10.1016/j.soildyn.2017.12.025.
Mylonakis, G. 2001. “Simplified model for seismic pile bending at soil layer interfaces.” Soils Found. 41 (4): 47–58. https://doi.org/10.3208/sandf.41.4_47.
Nikolaou, A., G. Mylonakis, G. Gazetas, and T. Tazoh. 2001. “Kinematic pile bending during earthquakes: Analysis and field measurements.” Géotechnique 51 (5): 425–440. https://doi.org/10.1680/geot.2001.51.5.425.
Ohta, T., S. Uchiyama, M. Niwa, and K. Ueno. 1980. “Earthquake response characteristics of structure with pile foundation on soft subsoil layer and its simulation analysis.” In Vol. 3 of Proc., 7th World Conf. on Earthquake Engineering. Kanpur, India: Indian Institute of Technology Kanpur.
Phillips, C., and Y. M. A. Hashash. 2009. “Damping formulation for nonlinear 1D site response analyses.” Soil Dyn. Earthquake Eng. 29 (7): 1143–1158. https://doi.org/10.1016/j.soildyn.2009.01.004.
Popovics, S. 1973. “A numerical approach to the complete stress-strain curve of concrete.” Cem. Concr. Res. 3 (5): 583–599. https://doi.org/10.1016/0008-8846(73)90096-3.
Rathje, E. M., N. A. Abrahamson, and J. D. Bray. 1998. “Simplified frequency content estimates of earthquake ground motions.” J. Geotech. Geoenviron. Eng. 124 (2): 150–159. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:2(150).
Rovithis, E., G. Mylonakis, and K. Pitilakis. 2013. “Dynamic stiffness and kinematic response of piles in inhomogeneous soil.” Bull. Earthquake Eng. 11 (6): 1949–1972. https://doi.org/10.1007/s10518-013-9473-0.
Rovithis, E. N., H. Parashakis, and G. E. Mylonakis. 2011. “1D harmonic response of layered inhomogeneous soil: Analytical investigation.” Soil Dyn. Earthquake Eng. 31 (7): 879–890. https://doi.org/10.1016/j.soildyn.2011.01.007.
Seed, H. B., and I. M. Idriss. 1970. Soil moduli and damping factors for dynamic response analyses. Berkeley, CA: Earthquake Engineering Research Center, Univ. of California.
Shi, J., and D. Asimaki. 2017. “From stiffness to strength: Formulation and validation of a hybrid hyperbolic nonlinear soil model for site-response analyses.” Bull. Seismol. Soc. Am. 107 (3): 1336–1355. https://doi.org/10.1785/0120150287.
Sica, S., G. Mylonakis, and A. L. Simonelli. 2011. “Transient kinematic pile bending in two-layer soil.” Soil Dyn. Earthquake Eng. 31 (7): 891–905. https://doi.org/10.1016/j.soildyn.2011.02.001.
Skempton, A. W. 1957. “Discussion: Further data on the c/p ratio in normally consolidated clays.” Proc. Inst. Civ. Eng. 7: 305–307.
Stacul, S., and N. Squeglia. 2018. “KIN SP: A boundary element method based code for single pile kinematic bending in layered soil.” J. Rock Mech. Geotech. Eng. 10 (1): 176–187. https://doi.org/10.1016/j.jrmge.2017.11.004.
Stacul, S., and N. Squeglia. 2020. “Simplified assessment of pile-head kinematic demand in layered soil.” Soil Dyn. Earthquake Eng. 130 (Mar): 105975. https://doi.org/10.1016/j.soildyn.2019.105975.
Tazoh, T., K. Shimizu, and T. Wakahara. 1987. “Seismic observations and analysis of grouped piles.” In Dynamic response of pile foundations: Experiments, analysis and observation. New York: ASCE.
Travasarou, T., and G. Gazetas. 2004. “On the linear seismic response of soils with modulus varying as a power of depth—The Maliakos marine clay.” Soils Found. 44 (5): 85–93. https://doi.org/10.3208/sandf.44.5_85.
Vardanega, P. J., and M. D. Bolton. 2013. “Stiffness of clays and silts: Normalizing shear modulus and shear strain.” J. Geotech. Geoenviron. Eng. 139 (9): 1575–1589. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000887.
Vucetic, M., and R. Dobry. 1991. “Effect of soil plasticity on cyclic response.” J. Geotech. Eng. 117 (1): 89–107. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:1(89).
Weiler, W. A. 1988. “Small-strain shear modulus of clay.” In Proc., Specialty Conf. on Earthquake Engineering and Soil Dynamics II—Recent Advances in Ground-Motion Evaluation, 331–345. New York: ASCE.
Zhou, Y.-G., J. Chen, Y.-M. Chen, B. L. Kutter, B.-L. Zheng, D. W. Wilson, M. E. Stringer, and E. C. Clukey. 2017. “Centrifuge modeling and numerical analysis on seismic site response of deep offshore clay deposits.” Eng. Geol. 227 (Sep): 54–68. https://doi.org/10.1016/j.enggeo.2017.01.008.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 148Issue 7July 2022

History

Received: Feb 10, 2021
Accepted: Feb 18, 2022
Published online: May 11, 2022
Published in print: Jul 1, 2022
Discussion open until: Oct 11, 2022

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Research Associate, Dept. of Civil and Industrial Engineering, Univ. of Pisa, Pisa 56122, Italy. ORCID: https://orcid.org/0000-0003-0535-7124
Researcher, Institute of Engineering Seismology and Earthquake Engineering, Thessaloniki 55535, Greece. ORCID: https://orcid.org/0000-0002-0331-5855
Associate Professor, Dept. of Engineering, Univ. of Campania “Luigi Vanvitelli”, Aversa, CE 81031, Italy (corresponding author). ORCID: https://orcid.org/0000-0002-9993-5353. Email: [email protected]

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