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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

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2018 Impact Factor: 1.272

Front. Struct. Civ. Eng.    2024, Vol. 18 Issue (7) : 1117-1133    https://doi.org/10.1007/s11709-024-0958-5
Numerical analysis on seismic response and failure mechanism of articulated pile−structure system in a liquefiable site from shaking-table experiments
Pengfei DOU1,2, Hao LIU2, Chengshun XU2(), Jinting WANG1, Yilong SUN2, Xiuli DU2
1. Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China
2. Key Laboratory of Urban Security and Disaster Engineering of the Ministry of Education, Beijing University of Technology, Beijing 100124, China
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Abstract

This study investigates the seismic response and failure mode of a pile−structure system in a liquefiable site by employing a numerical simulation model combined with the shaking-table results of a soil−pile−structure dynamic system. The pile and soil responses obtained from the numerical simulations agreed well with the experimental results. The slopes of the dynamic shear-stress–shear-strain hysteretic curves at different positions also exhibited a decreasing trend, indicating that the shear strength of the soil in all parts of the foundation decreased. The peak acceleration of the soil and pile was not clearly amplified in the saturated sand layer but appeared to be amplified in the top part. The maximum bending moments appeared in the middle and lower parts of the pile shaft; however, the shear forces at the corresponding positions were not large. It can be observed from the deformation mode of the pile-group foundation that a typical bending failure is caused by an excessive bending moment in the middle of the pile shaft if the link between the pile top and cap is articulated, and sufficient attention should be paid to the bending failure in the middle of the pile shaft.

Keywords numerical simulation      soil liquefaction      pile foundation      shaking-table experiment      seismic responses      failure model     
Corresponding Author(s): Chengshun XU   
Issue Date: 06 August 2024
 Cite this article:   
Pengfei DOU,Hao LIU,Chengshun XU, et al. Numerical analysis on seismic response and failure mechanism of articulated pile−structure system in a liquefiable site from shaking-table experiments[J]. Front. Struct. Civ. Eng., 2024, 18(7): 1117-1133.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-024-0958-5
https://academic.hep.com.cn/fsce/EN/Y2024/V18/I7/1117
Fig.1  Overview image of test setup [44].
Fig.2  Soil–pile−structure dynamic system: (a) shaking-table test; (b) numerical simulation model.
Fig.3  Geometry and discretization of the soil–pile−structure dynamic system.
Properties Unit Clay soil layer Loose sand layer Dense sand layer
Dry density, ρ kg/m3 1.340 × 103 1.578 × 103 1.700 × 103
Porosity 0.66 0.42 0.33
Cohesion, c kPa 10 0 0
Friction angle, ϕ ° 25 37 33
Coefficient of permeability, k m/s 1 × 10−10 1 × 10−10 1 × 10−7
Bulk modulus, k MPa 7 8.8 20
Shear modulus, G MPa 3.53 4.4 12
Tab.1  Soil properties for the Mohr–Coulomb constitutive model in FLAC3D
Fig.4  Grain composition of the fine sand used in the shaking-table test.
Parameter name in FLAC3D Input material properties and description Values in the present study
G0 elastic material constant, g0 105
Patm standard atmospheric pressure 100
Poisson Poisson’s ratio, v 0.05
Mc critical state ratio, m 1.25
c ratio of the triaxial extensive strength to compressive strength, c 0.712
lambda parameter to define the critical state line, λc 0.0287
ec0 parameter to define the critical state line, ec0 0.954
xi parameter to define the critical state line, it is value is 0.7 for most sands, ξ 0.7
mm parameter to define the yield function, a value in the range of (0.01–0.05) (m) 0.02
h0 parameter for the plastic modulus, h0 7.05
ch parameter for the plastic modulus, ch 0.968
nb parameter for the plastic modulus, nb 1.25
A0 parameter for dilatancy, a0 0.704
nd parameter for dilatancy, nd 2.1
zmax parameter for fabric-dilatancy tensor, zmax 2.0
cz parameter for fabric-dilatancy tensor, cz 60
kcut cut-off factor to deal with low pressures, kcut 0.01
Tab.2  Model parameters for the SANISAND constitutive model in FLAC3D
Fig.5  Time history and the Fourier spectrum of Wolong ground motion record in Wenchuan earthquake.
Fig.6  Vertical stress diagram of end-bearing friction pile.
Fig.7  Connection between piles and the pile cap: (a) in the experiment; (b) in the numerical model.
Fig.8  Schematic diagram of free-field boundary.
Fig.9  Time histories of pore−water pressure ratio at different positions in simulation model and the experiment: (a) simulation depth 0.35 m; (b) simulation depth 0.85 m; (c) simulation depth 1.35 m.
Fig.10  Time histories of pore−water pressure ratio at different positions in simulation model and the experiment: (a) simulation depth 0.35 m; (b) simulation depth 0.6 m; (c) simulation depth 0.85 m; (d) simulation depth 1.1 m; (e) simulation depth 1.35 m.
Fig.11  Soil-acceleration time histories of SAA2 in the experiment and the corresponding measuring points at different depths in the numerical model: (a) SAA2-6 and simulation depth 0.15 m; (b) SAA2-5 and simulation depth 0.45 m; (c) SAA2-4 and simulation depth 0.75 m; (d) SAA2-3 and simulation depth 1.05 m; (e) SAA2-2 and simulation depth 1.35 m; (f) SAA2-1 and simulation depth 1.65 m
Fig.12  Distribution comparison of soil-acceleration amplification coefficient.
Fig.13  Shear-stress–shear-strain curves of soils at different depths in numerical simulation and the experiment: (a) depth 0.45 m; (b) depth 0.75 m; (c) depth 1.05 m; (d) depth 1.35 m.
Fig.14  Shear-stress–shear-strain curves of soils at different depths from 0 to 10 s in numerical simulation: (a) depth 0.45 m, G = 11.16 kPa; (b) depth 0.75 m, G = 14.41 kPa; (c) depth 1.05 m, G = 17.04 kPa; (d) depth 1.35 m, G = 19.27 kPa; (e) depth 0.45 m, G = 5.34 kPa; (f) depth 0.75 m, G = 8.34 kPa; (g) depth 1.05 m, G = 11.24 kPa; (h) depth 1.35 m, G = 13.69 kPa; (i) depth 0.45 m, G = 2.09 kPa; (j) depth 0.75 m, G = 3.33 kPa; (k) depth 1.05 m, G = 5.83 kPa; (l) depth 1.35 m, G = 8.65 kPa; (m) depth 0.45 m, G = 2.26 kPa; (n) depth 0.75 m, G = 5.51 kPa; (o) depth 1.05 m, G = 9.11 kPa; (p) depth 1.35 m, G =13.57 kPa; (q) depth 0.45 m, G = 4.18 kPa; (r) depth 0.75 m, G = 9.34 kPa; (s) depth 1.05 m, G = 13.97 kPa; (t) depth 1.35 m, G = 16.79 kPa.
Fig.15  Comparison of soil shear modulus at various depths between in the vicinity of pile (dotted line) and far away from pile (solid line).
Fig.16  Pile acceleration time histories of SAA1 in the experiment and numerical model: (a) depth 0.15 m-experiment and simulation; (b) depth 0.45 m-experiment and simulation; (c) depth 0.75 m-experiment and simulation; (d) depth 1.05 m-experiment and simulation; (e) depth 1.35 m-experiment and simulation; (f) depth 1.65 m-experiment and simulation.
Fig.17  Distribution comparison of soil-acceleration amplification coefficient.
Fig.18  Acceleration time history curves at each measuring point in the superstructure in numerical simulation and the experiment: (a) X3a and X3a_simulation; (b) X2a and X2a_simulation; (c) X1a and X1a_simulation.
Fig.19  Sketch layout of location and the elevation view of strain gauges.
Fig.20  Bending-moment–response-time histories of the piles: (a) M1 simulation and experiment; (b) M2 simulation and experiment; (c) M3 simulation and experiment; (d) M4 simulation and experiment; (e) M5 simulation and experiment; (f) M6 simulation and experiment; (g) M7 simulation and experiment; (h) M8 simulation and experiment; (i) M9 simulation and experiment.
Fig.21  Envelope diagram of bending moment and shear force amplitude of pile shaft in the numerical simulation and the experiment: (a) bending moment of pile shaft; (b) shear force amplitude of pile shaft.
Fig.22  Pile-group deformation mode from numerical calculation model and experimental results: (a) numerical simulation model; (b) shaking-table experiment results.
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