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Equivalent linear model for the lateral dynamic analysis of pile foundations considering pile-soil interface degradation. (English) Zbl 1464.74274

Summary: An equivalent linear BEM-FEM model for the approximate analysis of the time harmonic lateral response of piles considering soil degradation along the soil-pile interface is proposed. The non-degraded soil around the foundation is modelled with boundary elements as a continuum, semi-infinite, isotropic, homogeneous or zoned homogeneous, linear, viscoelastic medium. Piles are modelled with finite elements as beams according to the Bernoulli hypothesis. Differently from what is considered in other BEM-FEM coupled numerical schemes, welded contact conditions are not assumed herein between piles and soil. On the contrary, displacements along FEM piles and within BEM soil are related through distributed springs and dashpots whose properties vary along the pile and that represent the varying stiffness and energy dissipation properties of a pile-soil interface with different levels of degradation at different depths. The developed numerical model is verified by comparison against a more rigorous but much more costly multi-domain boundary element model in which the same degraded soil regions around the pile are modelled as three-dimensional regions.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
65N38 Boundary element methods for boundary value problems involving PDEs
74L10 Soil and rock mechanics
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[1] Pak, R. Y.S.; Jennings, P. C., Elastodynamic response of pile under transverse excitations, J Eng Mech, 113, 7, 1101-1116 (1987)
[2] Rajapakse, R. K.N. D.; Shah, A. H., On the lateral harmonic motion of an elastic bar embedded in an elastic half-space, Int J Solids Struct, 23, 2, 287-303 (1987) · Zbl 0604.73061
[3] Abedzadeh, F.; Pak, R. Y.S., Continuum mechanics of lateral soil-pile interaction, J Eng Mech, 130, 11, 1309-1318 (2004)
[4] Matlock, H.; Reese, L. C., Generalized solutions for laterally loaded piles, Journal of the Soil Mechanics and Foundations Division, 86, 5, 63-91 (1960)
[5] Dobry, R.; Vicenti, E.; O’Rourke, M. J.; Roesset, J. M., Horizontal stiffness and damping of single piles, Journal of the Geotechnical Engineering Division, 108, 3, 439-459 (1982)
[6] Anoyatis, G.; Lemnitzer, A., Dynamic pile impedances for laterally-loaded piles using improved tajimi and winkler formulations, Soil Dyn Earthquake Eng, 92, 279-297 (2017)
[7] Gazetas, G.; Fan, K.; Kaynia, A.; Kausel, E., Dynamic interaction factors for floating pile groups, J Geotech Eng, 117, 10, 1531-1548 (1991)
[8] Dezi, F.; Carbonari, S.; Leoni, G., A model for the 3d kinematic interaction analysis of pile groups in layered soils, Earthquake Engineering & Structural Dynamics, 38, 11, 1281-1305 (2009)
[9] Álamo, G. M.; Bordón, J. D.R.; Aznárez, J. J.; Maeso, O., Relevance of soil-pile tangential tractions for the estimation of kinematic seismic forces: Formulation and setting of a winkler approach, Appl Math Model, 59, 1-19 (2018) · Zbl 1480.86007
[10] Kuhlemeyer, R. L., Static and dynamic laterally loaded floating piles, Journal of the Geotechnical Engineering Division, 105, 2, 289-304 (1979)
[11] Velez, A.; Gazetas, G.; Krishnan, R., Lateral dynamic response of constrained-head piles, J Geotech Eng, 109, 8, 1063-1081 (1983)
[12] Goit, C. S.; Saitoh, M., Model tests and numerical analyses on horizontal impedance functions of inclined single piles embedded in cohesionless soil, Earthquake Engineering and Engineering Vibration, 12, 1, 143-154 (2013)
[13] Kattis, S. E.; Polyzos, D.; Beskos, D. E., Vibration isolation by a row of piles using a 3-D frequency domain BEM, Int J Numer Methods Eng, 46, 5, 713-728 (1999) · Zbl 1073.74549
[14] Kattis, S. E.; Polyzos, D.; Beskos, D. E., Modelling of pile wave barriers by effective trenches and their screening effectiveness, Soil Dyn Earthquake Eng, 18, 1, 1-10 (1999)
[15] Maeso, O.; Aznárez, J. J.; García, F., Dynamic impedances of piles and groups of piles in saturated soils, Computers & Structures, 83, 10, 769-782 (2005)
[16] Sen, R.; Davies, T. G.; Banerjee, P. K., Dynamic analysis of piles and pile groups embedded in homogeneous soils, Earthquake Engineering & Structural Dynamics, 13, 1, 53-65 (1985)
[17] Mamoon, S. M.; Kaynia, A. M.; Banerjee, P. K., Frequency domain dynamic analysis of piles and pile groups, J Eng Mech, 116, 10, 2237-2257 (1990)
[18] Kaynia, A. M.; Kausel, E., Dynamics of piles and pile groups in layered soil media, Soil Dyn Earthquake Eng, 10, 8, 386-401 (1991)
[19] Guin, J.; Banerjee, P. K., Coupled soil-pile-structure interaction analysis under seismic excitation, J Struct Eng, 124, 4, 434-444 (1998)
[20] Ai, Z. Y.; Li, Z. X., Dynamic analysis of a laterally loaded pile in a transversely isotropic multilayered half-space, Eng Anal Bound Elem, 54, 68-75 (2015) · Zbl 1403.74047
[21] Padrón, L. A.; Aznárez, J. J.; Maeso, O., BEM-FEM coupling model for the dynamic analysis of piles and pile groups, Eng Anal Bound Elem, 31, 6, 473-484 (2007) · Zbl 1195.74251
[22] Álamo, G. M.; Martínez-Castro, A. E.; Padrón, L. A.; Aznárez, J. J.; Gallego, R.; Maeso, O., Efficient numerical model for the computation of impedance functions of inclined pile groups in layered soils, Eng Struct, 126, 379-390 (2016)
[23] Romero, A.; Galvín, P., A BEM-FEM using layered half-space green’s function in time domain for SSI analyses, Eng Anal Bound Elem, 55, 93-103 (2015) · Zbl 1403.74121
[24] El-Marsafawi, H.; Han, Y. C.; Novak, M., Dynamic experiments on two pile groups, J Geotech Eng, 118, 4, 576-592 (1992)
[25] Boominathan, A.; Kumar, S. K.; Subramanian, R. M., Lateral dynamic response and effect of weakzone on the stiffness of full scale single piles, Indian Geotechnical Journal, 43, 1, 43-50 (2015)
[26] Biswas, S.; Manna, B.; Baidya, D. K., Experimental and theoretical study on the nonlinear response of full-scale single pile under coupled vibrations, Soil Dyn Earthquake Eng, 94, 109-115 (2017)
[27] Shamouby, B. E.; Novak, M., Dynamic experiments with group of piles, Journal of Geotechnical Engineering, 110, 6, 719-737 (1984)
[28] Manna, B.; Baidya, D. K., Dynamic nonlinear response of pile foundations under vertical vibration – theory versus experiment, Soil Dyn Earthquake Eng, 30, 6, 456-469 (2010)
[29] Goit, C. S.; Saitoh, M., Model tests on horizontal impedance functions of fixed-head inclined pile groups under soil nonlinearity, J Geotech Geoenviron Eng, 140, 6, 04014023 (2014)
[30] Li, Z.; Escoffier, S.; Kotronis, P., Centrifuge modeling of batter pile foundations under earthquake excitation, Soil Dyn Earthquake Eng, 88, 176-190 (2016)
[31] Hussien, M. N.; Tobita, T.; Iai, S.; Karray, M., Soil-pile-structure kinematic and inertial interaction observed in geotechnical centrifuge experiments, Soil Dyn Earthquake Eng, 89, 75-84 (2016)
[32] Taghavi, A.; Muraleetharan, K. K.; Miller, G. A., Nonlinear seismic behavior of pile groups in cement-improved soft clay, Soil Dyn Earthquake Eng, 99, 189-202 (2017)
[33] Naggar, M. H.E.; Bentley, K. J., Dynamic analysis for laterally loaded piles and dynamic p-y curves, Canadian Geotechnical Journal, 37, 6, 1166-1183 (2000)
[34] Maheshwari, B. K.; Watanabe, H., Nonlinear dynamic behavior of pile foundations: effects of separation at the soil-pile interface, Soils and Foundations, 46, 4, 437-448 (2006)
[35] Allotey, N.; Naggar, M. H.E., A numerical study into lateral cyclic nonlinear soil-pile response, Canadian Geotechnical Journal, 45, 9, 1268-1281 (2008)
[36] Markou, A. A.; Kaynia, A. M., Nonlinear soil-pile interaction for offshore wind turbines, Wind Energy, 21, 7, 558-574 (2018)
[37] Rahmani, A.; Taiebat, M.; Finn, W. D.L.; Ventura, C. E., Evaluation of p-y springs for nonlinear static and seismic soil-pile interaction analysis under lateral loading, Soil Dyn Earthquake Eng, 115, 438-447 (2018)
[38] Gerolymos, N.; Kassas, K.; Bouzoni, E.; Brinkgreve, R. B.J., Dynamic analysis of piles subjected to axial and lateral loading with emphasis on soil and interface nonlinearities, Numerical Methods in Geotechnical Engineering - Proceedings of the 8th European Conference on Numerical Methods in Geotechnical Engineering, NUMGE 2014, vol. 2, 1117-1122 (2014)
[39] Angelides, D. C.; Roesset, J. M., Non-linear lateral dynamic stiffness of piles, Journal of the Geotechnical Engineering Division, 107, 11, 1443-1460 (1981)
[40] Bentley, K. J.; Naggar, M. H.E., Numerical analysis of kinematic response of single piles, Canadian Geotechnical Journal, 37, 6, 1368-1382 (2000)
[41] Bhowmik, D.; Baidya, D. K.; Dasgupta, S. P., A numerical and experimental study of hollow steel pile in layered soil subjected to lateral dynamic loading, Soil Dyn Earthquake Eng, 53, 119-129 (2013)
[42] Novak, M.; Sheta, M., Approximate approach to contact effects of piles, Proceedings of Session on Dynamic Response of Pile Foundations: Analytical Aspects, ASCE National Convention, Florida, 53-79 (1980)
[43] Veletsos, A. S.; Dotson, K. W., Impedances of soil layer with disturbed boundary zone, J Geotech Eng, 112, 3, 363-368 (1986)
[44] Novak, M.; Han, Y. C., Impedances of soil layer with boundary zone, Journal of Geotechnical Engineering, 116, 6, 1008-1014 (1990)
[45] Han, Y. C.; Sabin, G. C.W., Impedances for radially inhomogeneous viscoelastic soil media, J Eng Mech, 121, 9, 939-947 (1995)
[46] Luo, C.; Yang, X.; Zhan, C.; Jin, X.; Ding, Z., Nonlinear 3d finite element analysis of soil-pile-structure interaction system subjected to horizontal earthquake excitation, Soil Dyn Earthquake Eng, 84, 145-156 (2016)
[47] Seed, H. B.; Idriss, I. M., Soil moduli and damping factors for dynamic response analyses. REPORT NO. EERC 70-10 (1970), Earthquake Engineering Research Center, University of California: Earthquake Engineering Research Center, University of California Berkeley
[48] Vucetic, M.; Dobry, R., Effect of soil plasticity on cyclic response, Journal of Geotechnical Engineering, 117, 1, 89-107 (1991)
[49] Ishibashi, I.; Zhang, X., Unified dynamic shear moduli and damping ratios of sand and clay, Soils and Foundations, 33, 1, 182-191 (1993)
[50] 2004. EN1998-5, Eurocode 8 - Design of structures for earthquake resistance. Part 5: foundations, retaining structures and geotechnical aspects, CEN.
[51] Mendonça, A. V.; Paiva, J. B., An elastostatic FEM/BEM analysis of vertically loaded raft and piled raft foundation, Eng Anal Bound Elem, 27, 9, 919-933 (2003) · Zbl 1060.74654
[52] Padrón, L. A.; Aznárez, J. J.; Maeso, O., Dynamic analysis of piled foundations in stratified soils by a BEM-FEM model, Soil Dyn Earthquake Eng, 28, 5, 333-346 (2008)
[53] Padrón, L. A.; Aznárez, J. J.; Maeso, O., 3-D boundary element-finite element method for the dynamic analysis of piled buildings, Eng Anal Bound Elem, 35, 3, 465-477 (2011) · Zbl 1259.74061
[54] Padrón, L. A.; Aznárez, J. J.; Maeso, O.; Santana, A., Dynamic stiffness of deep foundations with inclined piles, Earthquake Engineering & Structural Dynamics, 39, 12, 1343-1367 (2010)
[55] Cruse, T. A.; Rizzo, F. J., A direct formulation and numerical solution of the general transient elastodynamic problem. i, J Math Anal Appl, 22, 1, 244-259 (1968) · Zbl 0167.16301
[56] Padrón, L. A., Numerical model for the dynamic analysis of pile foundations (2009), Universidad de Las Palmas de Gran Canaria, Doctoral dissertation
[57] Domínguez, J., Boundary elements in dynamics (1993), Computational Mechanics Publications · Zbl 0790.73003
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