Abstract
This paper investigates the nonlinear soil–pile–structure interaction employing three-dimensional nonlinear finite element models verified with the results of large-scale shaking table tests of model pile groups-superstructure systems. The responses of piles in both liquefiable and non-liquefiable soil sites to ground motion with varying intensities were evaluated considering both kinematic and inertial interaction. The calculated piles and soil responses agreed well with the responses measured during the shaking events. The numerical models correctly predicted the different pile deformation modes that were exhibited in the experiments. The finite element analysis was then employed to perform a parametric study to evaluate the kinematic and inertial effects on the piles' response, considering different ground motion Intensity and piles characteristics. It was found that the bending moment of piles in the liquefiable site increases significantly, compared to the non-liquefiable site, due to the loss of lateral support of the liquified soil, and the maximum bending moment occurs at the interface between the loose and dense sand layers. The inertial interaction contributes the most to the bending moments at the pile top and the interface between the top clay and liquefied loose sand layers. For piles with a larger diameter, the bending moment due to kinematic interaction increases significantly, and the bending moment distribution corresponds to short (rigid) pile behaviour. In addition, the piles at the saturated site displace laterally as a rigid body during strong ground motions because the pile base loses the lateral support due to the soil liquefaction. Finally, the kinematic interaction effect becomes more significant for piles with higher elastic modulus.
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Abbreviations
- SPSI:
-
Soil–pile–structure interaction
- 3D:
-
Three-dimensional
- FEM:
-
Finite element model
- FEA:
-
Finite element analysis
- PWP:
-
Pore water pressure
- EPWP:
-
Excess pore water pressure
- EPWPR:
-
Excess pore water pressure ratio
- Dr:
-
Relative density
- φ:
-
Friction angle
- Es :
-
Elastic modulus
- Vs :
-
Shear wave velocity
- Fmax :
-
Maximum frequency
- PDMY02:
-
PressureDependMultiYield02
- SPT:
-
Standard penetration test
- CPT:
-
Cone penetration test
- \(\sigma_{vo}^{{\prime }}\) :
-
Vertical effective stress
- SAA:
-
Shape acceleration arrays
- AAF:
-
Acceleration amplification factor
- PNBM:
-
Pile normalized bending moments
- MF:
-
Mass factor
References
Abdoun T, Dobry R (2002) Evaluation of pile foundation response to lateral spreading. Soil Dyn Earthq Eng 22:1051–1058
Abdoun T, Dobry R, O’Rourke TD, Goh S (2003) Pile response to lateral spreads: centrifuge modeling. J Geotech Geoenviron Eng 129:869–878
Ashour M, Ardalan H (2012) p–y curve and lateral response of piles in fully liquefied sands. Can Geotech J 49:633–650
Assimaki D, Shafieezadeh A (2013) Soil–pile–structure interaction simulations in liquefiable soils via dynamic macroelements: Formulation and validation. Soil Dyn Earthq Eng 47:92–107
Bhattacharya S, Madabhushi S (2008) A critical review of methods for pile design in seismically liquefiable soils. Bull Earthq Eng 6:407–446
Bhattacharya S, Bolton M, Madabhushi S (2005) A reconsideration of the safety of piled bridge foundations in liquefiable soils. Soils Found 45:13–25
Bhattacharya S, Adhikari S, Alexander N (2009) A simplified method for unified buckling and free vibration analysis of pile-supported structures in seismically liquefiable soils. Soil Dyn Earthq Eng 29:1220–1235
Bhattacharya S, Bolton M (2004a) Buckling of piles during earthquake liquefaction. In: Proceedings of the 13th world conference on earthquake engineering, Vancouver, BC, Canada, pp 1–4
Bhattacharya S, Bolton M (2004b) Pile failure during seismic liquefaction: theory and practice. In: Cyclic behaviour of soils and liquefaction phenomena: proceedings of the international conference, Bochum, Germany, 31 March–2 April 2004. CRC Press, p 341
Boulanger RW, Curras CJ, Kutter BL, Wilson DW, Abghari A (1999) Seismic soil-pile-structure interaction experiments and analyses. J Geotech Geoenviron Eng 125:750–759
Boulanger RW, Idriss IM, Mejia LH (1995) Investigation and evaluation of liquefaction related ground displacements at Moss Landing during the 1989 Loma Prieta Earthquake. Center for Geotechnical Modeling, Department of Civil & Environmental Engineering, University of California, Davis
Brandenberg SJ, Zhao M, Boulanger RW, Wilson DW (2013) p-y plasticity model for nonlinear dynamic analysis of piles in liquefiable soil. J Geotech Geoenviron Eng 139:1262–1274
Carlson NN, Miller K (1998) Design and application of a gradient-weighted moving finite element code I: in one dimension. SIAM J Sci Comput 19:728–765
Chae K, Ugai K, Wakai A (2004) Lateral resistance of short single piles and pile groups located near slopes. Int J Geomech 4:93–103
Cheng Z, Jeremić B (2009) Numerical modeling and simulation of pile in liquefiable soil. Soil Dyn Earthq Eng 29:1405–1416
Chu DB, Stewart JP, Youd TL, Chu B (2006) Liquefaction-induced lateral spreading in near-fault regions during the 1999 Chi-Chi, Taiwan Earthquake. J Geotech Geoenviron Eng 132:1549–1565
Cubrinovski M, Ishihara K (2004) Simplified method for analysis of piles undergoing lateral spreading in liquefied soils. Soils Found 44:119–133
Cubrinovski M, Kokusho T, Ishihara K (2006) Interpretation from large-scale shake table tests on piles undergoing lateral spreading in liquefied soils. Soil Dyn Earthq Eng 26:275–286
Cubrinovski M et al (2008) Prediction of pile response to lateral spreading by 3-D soil–water coupled dynamic analysis: shaking in the direction of ground flow. Soil Dyn Earthq Eng 28:421–435
Cubrinovski M et al (2014) Spreading-induced damage to short-span bridges in Christchurch, New Zealand. Earthq Spectra 30:57–83
Cubrinovski M et al (2016) (2017) Liquefaction effects and associated damages observed at the Wellington CentrePort from the Kaikoura Earthquake. Bull N Z Soc Earthq Eng 50:152–173
Cubrinovski M, Ishihara K (2006) Assessment of pile group response to lateral spreading by single pile analysis. In: Seismic performance and simulation of pile foundations in liquefied and laterally spreading ground, pp 242–254
Das B, Ramana G (2011) Principles of soil dynamics, Second, International SI édition Cengage Learning, USA
Dash SR, Bhattacharya S (2015) Pore water pressure generation and dissipation near to pile and far-field in liquefiable soils. Int J Geom 9:1454–1459
Dash SR, Govindaraju L, Bhattacharya S (2009) A case study of damages of the Kandla Port and Customs Office tower supported on a mat–pile foundation in liquefied soils under the. Soil Dyn Earthq Eng 29:333–346
Desai C, Zaman M, Lightner J, Siriwardane H (1984) Thin-layer element for interfaces and joints. Int J Numer Anal Meth Geomech 8:19–43
Ebeido A, Elgamal A, Tokimatsu K, Abe A (2019) Pile and pile-group response to liquefaction-induced lateral spreading in four large-scale shake-table experiments. J Geotech Geoenviron Eng 145:04019080
Elgamal A, Yang Z, Parra E (2002) Computational modeling of cyclic mobility and post-liquefaction site response. Soil Dyn Earthq Eng 22:259–271
Elgamal A, Yan L, Yang Z, Conte JP (2008) Three-dimensional seismic response of Humboldt Bay bridge-foundation-ground system. J Struct Eng 134:1165–1176
Elgamal A, Lu J (2009) A framework for 3D finite element analysis of lateral pile system response. In: Contemporary topics in in situ testing, analysis, and reliability of foundations, pp 616–623
Filippou FC, Popov EP, Bertero VV (1983) Effects of bond deterioration on hysteretic behavior of reinforced concrete joints, pp 137–147
Finn W, Fujita N (2002) Piles in liquefiable soils: seismic analysis and design issues. Soil Dyn Earthq Eng 22:731–742
Ghalibafian H (2006) Evaluation of the effects of nonlinear soil-structure interaction on the inelastic seismic response of pile-supported bridge piers. University of British Columbia, Vancouver
Giuffrè A (1970) Il comportamento del cemento armato per sollecitazioni cicliche di forte intensità Giornale del Genio Civile
Hashash YMA et al (2020) DEEPSOIL V7.0, user manual. Board of Trustees of University of Illinois at Urbana-Champaign, Urbana, IL
He L, Ramirez J, Lu J, Tang L, Elgamal A, Tokimatsu K (2017) Lateral spreading near deep foundations and influence of soil permeability. Can Geotech J 54:846–861
Holzer T, Hanks T, Youd T (1989) Dynamics of liquefaction during the 1987 Superstition Hills, California. Earthq Sci 244:56–59
Hussein AF, El Naggar MH (2021b) Effect of model scale on helical piles response established from shake table tests. Soil Dyn Earthq Eng
Hussein AF, El Naggar MH (2021a) Seismic axial behaviour of pile groups in non-liquefiable and liquefiable soils. Soil Dyn Earthq Eng 106853-149
Idriss I, Boulanger RW (2007) SPT-and CPT-based relationships for the residual shear strength of liquefied soils. In: Earthquake geotechnical engineering. Springer, pp 1–22
Idriss IM, Youd TL (1997) Proceedings of the NCEER workshop on evaluation of liquefaction resistance of soils. Held in Salt Lake City, Utah on January 5–6, 1996. Brigham Young University. Department of Civil and Environmental Engineering
Ishihara K, Cubrinovski M (1998) Soil-pile interaction in liquefied deposits undergoing lateral spreading
Kagawa T, Sato M, Minowa C, Abe A, Tazoh T (2004) Centrifuge simulations of large-scale shaking table tests: case studies. J Geotech Geoenvironm Eng 130:663–672
Kampitsis AE, Giannakos S, Gerolymos N, Sapountzakis EJ (2015) Soil–pile interaction considering structural yielding: numerical modeling and experimental validation. Eng Struct 99:319–333
Kent DC, Park R (1971) Flexural members with confined concrete. J Struct Div
Kramer SL (1996) Geotechnical earthquake engineering. Pearson Education India, Delhi
Li G, Motamed R (2017) Finite element modeling of soil-pile response subjected to liquefaction-induced lateral spreading in a large-scale shake table experiment. Soil Dyn Earthq Eng 92:573–584
Li X et al (2008) Strong motion observations and recordings from the great Wenchuan Earthquake. Earthq Eng Eng Vib 7:235
Li G, Motamed R (2015) Numerical modeling of pile group response subjected to liquefaction-induced large ground deformations in E-defense shake table test. In: 6th international conference on earthquake geotechnical engineering, pp 1–4
Liyanapathirana DS, Poulos H (2005) Pseudostatic approach for seismic analysis of piles in liquefying soil. J Geotech Geoenviron Eng 131:1480–1487
Lu J, Elgamal A, Yang Z (2011) OpenSeesPL: 3D lateral pile-ground interaction user manual (Beta 1.0). Department of Structural Engineering, University of California, San Diego
Maheshwari B, Truman K, El Naggar M, Gould P (2004) Three-dimensional nonlinear analysis for seismic soil–pile-structure interaction. Soil Dyn Earthq Eng 24:343–356
Martin G, Chen C-Y (2005) Response of piles due to lateral slope movement. Comput Struct 83:588–598
Mazzoni S, McKenna F, Scott MH, Fenves GL (2006) OpenSees command language manual Pacific Earthquake Engineering Research (PEER) Center 264
Miao Y, Yao E, Luo H, Zhu H (2016) Seismic behavior of soil–pile–structure interaction with a modified Desai thin-layer interface element. Adv Mech Eng 8:1687814016680940
O’Rourke T, Meyersohn W, Shiba Y, Chaudhuri D (1994) Evaluation of pile response to liquefaction-induced lateral spread. In: Proceedings of the 5th US-Japan workshop on earthquake resistant design of lifeline facilities and countermeasures against soil liquefaction, 1994. National Center for Earthquake Engineering Research, pp 457–478
Palermo A et al (2011) Lessons learnt from 2011 Christchurch earthquakes. Bull N Z Soc Earthq Eng 44:319–333
Robertson P (1985) Liquefaction potential of sands using the cone penetration test. J Geotech Div 22:298–307
Sarkar D, König D, Goudarzy M (2019) The influence of particle characteristics on the index void ratios in granular materials. Particuology 46:1–13
Scott BD, Park R, Priestley MJ (1982) Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates. ACI J Proc 1:13–27
Shinozuka M, Feng MQ, Lee J, Naganuma T (2000) Statistical analysis of fragility curves. J Eng Mech 126:1224–1231
Skempton A (1986) Standard penetration test procedures and the effects in sands of overburden pressure, relative density, particle size, ageing and overconsolidation. Geotechnique 36:425–447
Su L, Tang L, Ling X, Liu C, Zhang X (2016) Pile response to liquefaction-induced lateral spreading: a shake-table investigation. Soil Dyn Earthq Eng 82:196–204
Su L, Lu J, Elgamal A, Arulmoli AK (2017) Seismic performance of a pile-supported wharf: three-dimensional finite element simulation. Soil Dyn Earthq Eng 95:167–179
Su L, Wan H-P, Abtahi S, Li Y, Ling X-Z (2020) Dynamic response of soil–pile–structure system subjected to lateral spreading: shaking table test and parallel finite element simulation. Can Geotech J 57:497–517
Sugimura Y, Karkee MB, Mitsuji K (2004) An investigation on aspects of damage to precast concrete piles due to the 1995 Hyogoken-Nambu earthquake. In: Proceedings third UJNR workshop on soil-structure interaction, Menlo Park, California, USA, pp 1–16
Tang L, Zhang X, Ling X, Li H, Ju N (2016) Experimental and numerical investigation on the dynamic response of pile group in liquefying ground. Earthq Eng Eng Vib 15:103–114
Tokimatsu K, Suzuki H, Sato M (2005) Effects of inertial and kinematic interaction on seismic behavior of pile with embedded foundation. Soil Dyn Earthq Eng 25:753–762
Valsamis AI, Bouckovalas GD, Chaloulos YK (2012) Parametric analysis of single pile response in laterally spreading ground. Soil Dyn Earthq Eng 34:99–110
Veletsos AS, Meek JW (1974) Dynamic behaviour of building-foundation systems. Earthq Eng Struct Dyn 3:121–138
Wang R, Fu P, Zhang J-M (2016) Finite element model for piles in liquefiable ground. Comput Geotech 72:1–14
Wang X, Ye A, Shang Y, Zhou L (2019) Shake-table investigation of scoured RC pile-group-supported bridges in liquefiable and nonliquefiable soils. Earthq Eng Struct Dyn 48:1217–1237
Wotherspoon LM, Pender MJ, Orense RP (2012) Relationship between observed liquefaction at Kaiapoi following the 2010 Darfield earthquake and former channels of the Waimakariri River. Eng Geol 125:45–55
Xu C, Dou P, Du X, El Naggar MH, Miyajima M, Chen S (2020) Seismic performance of pile group-structure system in liquefiable and non-liquefiable soil from large-scale shake table tests. Soil Dyn Earthq Eng 138:106299
Yang Z, Elgamal A (2002) Influence of permeability on liquefaction-induced shear deformation. J Eng Mech 128:720–729
Yang Z, Jeremić B (2003) Numerical study of group effects for pile groups in sands. Int J Numer Anal Meth Geomech 27:1255–1276
Yang Z, Lu J, Elgamal A (2008) OpenSees soil models and solid-fluid fully coupled elements User's Manual Ver 1:27
Yasuda S, Ishihara K, Morimoto I, Orense R, Ikeda M, Tamura S (2000) Large-scale shaking table tests on pile foundations in liquefied ground. In: Proceedings of the 12th world conference on earthquake engineering
Zerwer A, Cascante G, Hutchinson J (2002) Parameter estimation in finite element simulations of Rayleigh waves. J Geotech Geoenviron Eng 128:250–261
Zienkiewicz O, Chang C, Bettess P (1980) Drained, undrained, consolidating and dynamic behaviour assumptions in soils. Geotechnique 30:385–395
Zienkiewicz OC, Chan A, Pastor M, Schrefler B, Shiomi T (1999) Computational geomechanics vol 613. Citeseer, Chichester
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AFH: Conceptualization, Methodology, Investigation, Resources, Numerical Analysis, Validation, Data curation, Writing—original draft. MHEN: Supervision, Conceptualization, Methodology, Resources, Writing, review, editing.
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Hussein, A.F., El Naggar, M.H. Seismic behaviour of piles in non-liquefiable and liquefiable soil. Bull Earthquake Eng 20, 77–111 (2022). https://doi.org/10.1007/s10518-021-01244-4
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DOI: https://doi.org/10.1007/s10518-021-01244-4