Abstract
This paper presents an elastic continuum model using an extended nonlinear Davies and Budhu equations, which enables the nonlinear behavior of the soil around the long elastic pile to be modeled using a simple expression of pile-head stiffness method. The calculated results were validated with the measured full-scale dynamic field tests data conducted in Auckland residual clay. An idealized soil profile and soil stiffness under small strain (i.e. shear modulus, G s and shear wave velocity, V s of the soil) determined from in situ testing was used to model the single pile tests results. The predictions of these extended equations are also confirmed by using the three-dimensional finite-element OpenSeesPL (Lu et al. in OpenSeesPL 3D lateral pile-ground interaction: user manual, University of California, San Diego, 2010). A soil stiffness reduction factor, G s /G s,max of 0.36 was introduced to the proposed method and model. It was found to give a reasonable prediction for a single pile subjected to dynamic lateral loading. The reduction in soil stiffness found from the experiment arises from the cumulative effects of pile–soil separation as well as a change in the soil properties subjected to cyclic load. In summary, if the proposed method and model are accurately verified and properly used, then they are capable of producing realistic predictions. Both models provide good modelling tools to replicate the full-scale dynamic test results.
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References
Anandarajah A, Zhang J, Gnanaranjan G, Ealy C (2001) Back-calculation of Winkler foundation parameters for dynamic analysis of piles from field-test data. In: Proceedings of NSF international workshop on earthquake simulation in geotechnical engineering. Case Western Reserve University, Ohio, pp 1–10
Banerjee PK (1978) Analysis of axially and laterally loaded pile groups. In: Scott CR (ed) Developments in soil mechanics, Ch. 9. Applied Science Publications, London, pp 317–346
Blaney GW, O’Neill MW (1986) Measured lateral response of mass on Single pile in clay. J Geotechn Eng 112(4):443–457
Blaney GW, Kausel E, Roesset JM (1976) Dynamic stiffness of piles.In: Proceedings of the 2nd international conference on numerical methods in geomechanics, vol 2, pp 1001–1012
Boominathan A, Ayothiraman R, Elango J (2002) Lateral vibration response of full scale single piles. In: Proceedings of 9th international conference on piling and deep foundations, nice. Presses de I’Ecole Nationale des Ponts et Chausèes, Paris, pp 141–146
Boominathan A, Ayothiraman R (2006) Dynamic response of laterally loaded piles in clay. In: Proceedings of the institution of civil engineers, pp 233–241
Briaud J-L, Lepert P (1990) WAK test to find spread footing stiffness. J Geotech Eng 116(3):415–431
Broms BB (1964a) Lateral resistance of piles in cohesive soils. J Soil Mech Found Div ASCE 90(SM3):26–63
Broms BB (1964b) Lateral resistance of piles in cohesionless soils. J Soil Mech Found Div ASCE 90(SM3):123–156
Brown DA, Morrison C, Reese LC (1988) Lateral load behaviour of pile group in sand. J Geotech Eng 114(11):1261–1276
Crouse CB, Kramer SL, Mitchell R, Husmand B (1993) Dynamic tests of pipe pile in saturated peat. J Geotech Eng Div ASCE 119(10):1550–1567
Davies TG, Budhu M (1986) Non-linear analysis of laterally loaded piles in heavily overconsolidated clays. Geotechnique 36(4):527–538
Eurocode 8 (2003) Design of structures for earthquake resistant—Part 5: Foundations, retaining structures and geotechnical aspects (EN1998-5)
Fan K, Gazetas G, Kaynia A, Kausel E, Ahmad S (1991) Kinematic seismic response of single piles and piles groups. J Geotech Eng 117(12):1860–1879
Flores-Berrones R, Whitman RV (1981) Seismic response of end-bearing piles. J Geotech Eng 108:554–569
Gazetas G (1984) Seismic response of end-bearing single piles. Soil Dyn Earthq Eng 3(2):82–93
Gazetas G (1991) Foundation vibration. In: Hsai-Yan Fang (ed) Foundation engineering handbook, Ch. 15, 2nd edn. Van Nostrand Reinhold, New York, pp 553–593
Ishihara K (1996) Soil behaviour in earthquake geotechnics. Oxford University Press, Clarendon Press, New York
Jennings DN, Thurston SJ, Edmonds FD (1985) Static and dynamic lateral loading of two piles. In: Proceedings of the 8th WCEE, vol. 3 San Francisco, CA, pp 561–568
Kagawa T, Kraft LM (1981) Lateral pile response during earthquake. J Geotech Eng 107:1713–1731
Kaynia AM, Kausel E (1982) Dynamic stiffness and seismic response of pile groups. Research report R82-03. Massachusetts Institute of Technology Cambridge, Mass
Krishnan R, Gazetas G, Velez A (1983) Static and dynamic lateral deflexion of piles in non-homogeneous soil stratum. Geotechnique 33:307–325
Kuhlemeyer RL (1979) Static and dynamic laterally loaded floating piles. J Geotechn Eng 105:289–304
Lu J, Elgamal A (2005) A 3D finite element user-interface for soil-foundation seismic response. In: Proceedings of the 2005 caltrans bridge research conference. Sacramento, CA, October 31–November 1
Lu J, Yang Z, Elgamal A (2010) OpenSeesPL 3D lateral pile-ground interaction: user manual. University of California, San Diego. (http://neesforge.nees.org/projects/OpenSeesPL)
Makris N, Gazetas G (1992) Dynamic pile–soil–pile interaction—Part II: lateral and seismic response. Earthq Eng Struct Dyn 21(2):145–162
Mindlin D (1936) Force at a point in the interior of a semi-infinite solid. Physics 7:195–202
Novak M (1985) Experiments with shallow and deep foundations. In: Gazetas G, Selig ET (eds) Vibration problems in geotechnical engineering. ASCE, New York, pp 1–26
Pak RYS, Ashlock JC, Abedzadeh F, Turner N (2003) Comparison of continuum theories with measurements for piles under dynamic loads. In: Proceedings of 16th ASCE engineering mechanics conference. University of Washington, Seattle, pp 1–7
Pender MJ (1993) Aseismic pile foundation design analysis. Bull N Z Nat Soc Earthq Eng 26(1), Wellington, New Zealand, pp 49–161
Pender MJ, Wesley LD, Twose G, Duske GC, Pranjoto S (2000) Compressibility of Auckland residual soil. In: Proceedings international conference GeoEng200. Melbourne, Australia
Pender MJ, Wesley L, Ni B (2003) Laboratory stiffness and other properties of Auckland residual soil. In: Proceedings of the NZ geotechnical society symposium: geotechnics on the volcanic edge. Tauranga, New Zealand, pp 251–261
Poulos HG (1971a) Behaviour of laterally loaded piles—I: single piles. J Soil Mech Found Div ASCE 97(5):711–731
Poulos HG (1971b) Behaviour of laterally loaded piles—II: pile groups. J Soil Mech Found Div ASCE 97(5):733–751
Puri KV, Prakash S (1992) Observed and predicted response of piles under dynamic loads. In: Prakah S (ed) Piles under dynamics loads. ASCE Geotechnical Special Publication, Paper No. 34, 153–169
Randolf MF (1981) The response of flexible piles to lateral loading. Geotechnique 31:247–259
Robertson PK, Campanella RG (1985) Seismic CPT to measure in situ shear wave velocity. In: Woods RD (ed) Measurement and use of shear wave velocity for evaluating dynamic soil properties, ASCE, ASCE, Denver, Colorado, pp 34–48
Sa’don NM (2010) Full-scale static and dynamic lateral loading of a single pile. PhD thesis, University of Auckland
Sa’don NM, Pender MJ, Orense RP, Abdul Karim AR (2009a) A macro-element for pile head response to cyclic lateral loading. In: New Zealand society for earthquake engineering conference (NZSEE 2009). Christchurch, New Zealand
Tajimi H (1977) Seismic effects on piles. State-of-the-art Report 2. In: Proceedings of the specialty session ICSMFE, pp 15–26
Ting JM (1987) Full-scale cyclic dynamic lateral piles responses. J Geotech Eng 113(1):30–45
Acknowledgments
The authors would like to express their deepest gratitude to the Kiwi Advanced Research & Education Network (KAREN) for providing funding for this project, the New Zealand Network for Earthquake Engineering Simulation NZNEES@Auckland for supplying the mobile laboratory equipment for the field testing, CDL Investments for permission to use the land for the tests, Perry Drilling for carried out the CPT and SCPT testing and the Universiti Malaysia Sarawak (UNIMAS) for their financial support of the first-named author.
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Sa’don, N.M., Pender, M.J., Abdul Karim, A.R. et al. Pile Head Cyclic Lateral Loading of Single Pile. Geotech Geol Eng 32, 1053–1064 (2014). https://doi.org/10.1007/s10706-014-9780-5
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DOI: https://doi.org/10.1007/s10706-014-9780-5