Three-Dimensional Nonlinear Seismic Analysis of Pile Groups Using FE-CIFECM Coupling in a Hybrid Domain and HISS Plasticity Model
Publication: International Journal of Geomechanics
Volume 15, Issue 3
Abstract
This paper reports the three-dimensional (3D) nonlinear dynamic analysis of floating pile groups subjected to seismic loading. For the nonlinear dynamic analysis of foundations in general, and pile foundations in particular, a perfect accuracy in modeling the frequency dependence of the unbounded soil support, as well as the local temporal nonlinearities, was ensured. In the current work, the finite elements (FEs) and boundary FEs were coupled in a hybrid domain of alternating frequency-time domains, to analyze the nonlinear dynamics of pile foundations in a 3D space. The frequency dependence of the stiffness and the damping of the unbounded far-field soil were completely accounted for by the consistent infinitesimal finite-element cell method (CIFECM) in the frequency domain, whereas the nonlinearities and transient conditions of the near-field were accounted for by the FE in the time domain. The hybrid frequency time domain algorithm is used for coupling the two domains. For the evaluation of nonlinear effects, an advanced, plasticity-based, hierarchical single surface (HISS) soil model was used. The applicability of this rigorous approach to pile foundations was validated using well-established results in the literature. The transient dynamic response of a pile group embedded in clayey soils was performed. Using the results, the frequency response of the pile foundations is presented under elastic and inelastic soil conditions in terms of dynamic impedances and kinematic interaction factors for different pile spacings. The results showed significant reduction, caused by soil plasticity, in both the lateral stiffness and the damping of the pile groups.
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Acknowledgments
The research work presented here was supported by an Institute Fellowship to the second author from the Ministry of Human Resource Development, Government of India. This support is gratefully acknowledged.
References
Badoni, D., and Makris, N. (1996). “Nonlinear response of single piles under lateral inertial and seismic loads.” Soil. Dyn. Earthquake Eng., 15(1), 29–43.
Bazyar, M. H., and Song, C. (2006). “Transient analysis of wave propagation in non-homogeneous elastic unbounded domains by using scaled boundary finite-element method.” Earthquake Eng. Struct. Dyn., 35(14), 1787–1806.
Bentley, K. J., and El Naggar, M. H. (2000). “Numerical analysis of kinematic response of single piles.” Can. Geotech. J., 37(6), 1368–1382.
Desai, C. S. (2001). Mechanics of materials and interfaces: The disturbed state concept, CRC Press, Boca Raton, FL.
Desai, C. S., Sharma, K. G., Wathugala, G. W., and Rigby, D. B. (1991). “Implementation of hierarchical single surface and models in finite element procedure.” Int. J. Numer. Anal. Methods Geomech., 15(9), 649–680.
Desai, C. S., Wathugala, G. W., and Matlock, H. (1993). “Constitutive model for cyclic behavior of clays. II: Applications.” J. Geotech. Engrg., 730–748.
Doherty, J. P., and Deeks, A. J. (2006). “Stiffness of a flexible circular footing embedded in an elastic half-space.” Int. J. Geomech., 46–54.
Emani, P. K. (2008). “Nonlinear dynamic soil-structure interaction analysis using hybrid methods.” Ph.D. thesis, Dept. of Earthquake Engineering, Indian Institute of Technology, Roorkee, India.
Emani, P. K., and Maheshwari, B. K. (2008). “Nonlinear analysis of pile groups using hybrid domain method.” Proc., 12th Int. Conf. on Computer Methods and Advances in Geomechanics, Vol. 4, Curran Associates, Red Hook, NY, 2824–2834.
Emani, P. K., and Maheshwari, B. K. (2009). “Dynamic impedances of pile groups with embedded caps in homogeneous elastic soils using CIFECM.” Soil. Dyn. Earthquake Eng., 29(6), 963–973.
Fan, K., Gazetas, G., Kaynia, A., Kausel, E., and Ahmad, S. (1991). “Kinematic seismic response of single piles and pile groups.” J. Geotech. Engrg., 1860–1879.
Hajialilue-Bonab, M., Sojoudi, Y., and Puppala, A. J. (2013). “Study of strain wedge parameters for laterally loaded piles.” Int. J. Geomech., 143–152.
Haldar, S., and Sivakumar Babu, G. L. (2010). “Failure mechanisms of pile foundations in liquefiable soil: Parametric study.” Int. J. Geomech., 74–84.
Huang, J., and Shi, Z. (2013). “Application of periodic theory to rows of piles for horizontal vibration attenuation.” Int. J. Geomech., 132–142.
Humar, J. L. (1990). Dynamics of structures, Prentice Hall, Englewood Cliffs, NJ.
Kaynia, A. M., and Kausel, E. (1982). “Dynamic stiffness and seismic response of pile groups.” Research Rep., Dept. of Civil Engineering, Massachusetts Institute of Technology (MIT), Cambridge, MA.
Knappett, J. A., and Madabhushi, S. P. G. (2009). “Influence of axial load on lateral pile response in liquefiable soils. Part II: Numerical modelling.” Geotechnique, 59(7), 583–592.
Kuhlemeyer, R. L. (1979). “Static and dynamic laterally loaded floating piles.” J. Geotech. Eng. Div., 105(2), 289–304.
Maheshwari, B. K., and Sarkar, R. (2011). “Seismic behavior of soil-pile-structure interaction in liquefiable soils: Parametric study.” Int. J. Geomech., 335–347.
Maheshwari, B. K., Truman, K. Z., El Naggar, M. H., and Gould, P. L. (2004a). “Three-dimensional finite element nonlinear dynamic analysis of pile groups for lateral transient and seismic excitations.” Can. Geotech. J., 41(1), 118–133.
Maheshwari, B. K., Truman, K. Z., El Naggar, M. H., and Gould, P. L. (2004b). “Three-dimensional nonlinear analysis for seismic soil-pile-structure interaction.” Soil. Dyn. Earthquake Eng., 24(4), 343–356.
Maheshwari, B. K., Truman, K. Z., Gould, P. L., and El Naggar, M. H. (2005). “Three-dimensional nonlinear seismic analysis of single piles using finite element model: Effects of plasticity of soil.” Int. J. Geomech., 35–44.
Maheshwari, B. K., and Watanabe, H. (2005). “Dynamic analysis of pile foundations: effects of material nonlinearity of soil.” Electron. J. Geotech. Eng., 10(E), 0585.
Maheshwari, B. K., and Watanabe, H. (2006). “Nonlinear dynamic behavior of pile foundations: Effects of separation at the soil-pile interface.” Soils Found., 46(4), 437–448.
MATLAB. (2008). Reference manual version 7.6, MathWorks, Natick, MA.
Matlock, H., Foo, S. H. C., and Bryant, L. M. (1978). “Simulation of lateral pile behavior under earthquake motion.” Proc., ASCE Specialty Conf. on Earthquake Engineering and Soil Dynamics, ASCE, New York, 600–619.
Mylonakis, G., and Gazetas, G. (1999). “Lateral vibrations and internal forces of grouped piles in layered soil.” J. Geotech. Geoenviron. Eng., 16–25.
National Cooperative Highway Research Program. (2001). “Transportation Research Board, National Research Council. Appendix-B: Dynamic responses of piles to earthquake loading.” Rep. 461, National Academy Press, Washington, DC.
Nikolaou, A., Mylonakis, G., and Gazetas, G. (1995). “Kinematic bending moments in seismically stressed piles.” NCEER-95-0022, State Univ. of New York at Buffalo, Buffalo, NY.
Nogami, T., and Konagai, K. (1987). “Dynamic response of vertically loaded nonlinear pile foundations.” J. Geotech. Engrg., 147–160.
Nogami, T., Otani, J., Konagai, K., and Chen, H.-L. (1992). “Nonlinear soil-pile interaction model for dynamic lateral motion.” J. Geotech. Engrg., 89–106.
Novak, M. (1974). “Dynamic stiffness and damping of piles.” Can. Geotech. J., 11(4), 574–598.
Penzien, J., Shceffley, C. F., and Parmelee, F. A. (1964). “Seismic analysis of bridges on long pile.” J. Eng. Mech. Div., 90(3), 233–254.
Sarkar, R., and Maheshwari, B. K. (2012a). “Effect of soil nonlinearity and liquefaction on dynamic stiffness of pile groups.” Int. J. Geotech. Eng., 6(3), 319–330.
Sarkar, R., and Maheshwari, B. K. (2012b). “Effects of separation on the behavior of soil-pile interaction in liquefiable soils.” Int. J. Geomech., 1–13.
Sen, R., Davies, T. G., and Banerjee, P. K. (1985). “Dynamic analysis of piles and pile groups embedded in homogenous soils.” Earthquake Eng. Struct. Dyn., 13(1), 53–65.
Soares, D., Jr., and Mansur, W. J. (2005). “A frequency-domain FEM approach based on implicit Green’s functions for non-linear dynamic analysis.” Int. J. Solids Struct., 42(23), 6003–6014.
Syed, N. M., and Maheshwari, B. K. (2014). “Modeling using coupled FEM-SBFEM for three-dimensional seismic SSI in time domain.” Int. J. Geomech., 118–129.
Veletsos, A. S., and Ventura, C. E. (1984). “Efficient analysis of dynamic response of linear systems.” Earthquake Eng. Struct. Dynam., 12(4), 521–536.
Wang, S., Kutter, B. L., Chacko, M. J., Wilson, D. W., Boulanger, R. W., and Abghari, A. (1998). “Nonlinear seismic soil-pile structure interaction.” Earthq. Spectra, 14(2), 377–396.
Wathugala, G. W., and Desai, C. S. (1993). “Constitutive model for cyclic behavior of clays. I: Theory.” J. Geotech. Eng., 714–729.
Wegner, J. L., and Zhang, X. (2001). “Free-vibration analysis of a three-dimensional soil-structure system.” Earthquake Eng. Struct. Dynam., 30(1), 43–57.
Wolf, J. P. (1988). Soil-structure-interaction analysis in time domain, Prentice Hall, Englewood Cliffs, NJ.
Wolf, J. P., and Song, C. (1996). Finite element modeling of unbounded domain, Wiley, Chichester, U.K.
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Published In
International Journal of Geomechanics
Volume 15 • Issue 3 • June 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Feb 7, 2013
Accepted: Jun 18, 2013
Published online: Apr 25, 2014
Published in print: Jun 1, 2015
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