NEES-Pile: Experimental and Computational Study of Pile Foundations Subjected to Liquefaction-Induced Lateral Spreading
FEM Simulation of test SG1
By Claudia MedinaMarcelo GonzalezAhmed Elgamal
Rensselaer Polytechnic InstituteAugust 20th, 2007
VARIABLES OF THE SOFTWARE:
MASS DENSITYREF. SHEAR WAVE VELOCITYREF. MEAN CONFINEMENTCONFINEMENT DEPENDENCE COEF.KoCOHESIONFRICTION ANGLEPEAK SHEAR STRAINNUMBER OF YIELD SURFACEDILATION ANGLECONTRACTION PARAMETER 1CONTRACTION PARAMETER 2DILATION PARAMETER 1DILATION PARAMETER 2LIQUEFACTION PARAMETER 1PERMEABILITY COEFICIENT
CYCLIC 1DSIMULATION: Model (Ahmed Elgamal, Zhaohui Yang, Jinchi Lu)
C1: DICTATES THE RATE OF PORE PRESSURE BUILDUP UNDER UNDRAIN CONDITION, 0.3 0.0 (VERY LOOSE TO VERY DENSE SAND)
C2: REFLECTS THE EFFECT OF OVERBURDEN PRESSURE ON CONTRACTION BEHAVIOR, 0.2 0.6 (VERY LOOSE TO VERY DENSE)
D1: DICTATES THE RATE OF VOLUME EXPANTION (OR REDUCTION OF PORE PRESSURE), 0.0 0.6 (VERY LOOSE TO VERY DENSE)
D2: REFLECT THE EFFECT OF ACCUMULATED SHEAR STRAIN ON DILATION BEHAVIOR, 10
LIQUEFACTION PARAMETER: DICTATES THE EXTENT OF SHEAR STRAIN ACCUMULATION, 0.025 0.0 (VERY LOOSE TO VERY DENSE)
SIMULATION: Model (Ahmed Elgamal, Zhaohui Yang, Jinchi Lu)
CALIBRATION using Taboadas centrifuge tests(Gonzalez, 2006)
CALIBRATION using Taboadas centrifuge tests(Gonzalez, 2006)
CALIBRATION using Taboadas centrifuge tests(Gonzalez, 2006)
Chart5
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-3.7
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-3.3
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-2.7
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0.000000149
Cyclic 1D
Centrifuge
Lateral displacement, cm
Depth, m
Sheet3
00
0.010.0000626666
0.020.0002486899
0.030.0005521868
0.040.0009635073
0.050.0014694631
0.060.0020536413
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0.170.0071767874
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0.190.0065031975
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0.25-0
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0.50
0.510.0031959975
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10
1.010.0062666617
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1.25-0
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1.50
1.510.0062666617
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1.75-0
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20
2.010.0062666617
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2.250
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2.750
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3-0
3.010.0062666617
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3.750
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4-0
4.010.0062666617
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5-0
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6-0
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0.481348.1330-0.800.00050.0466-0.75
0.481348.1290-0.700.00040.0398-0.65
0.481348.1260-0.600.00030.0333-0.55
0.481348.1250-0.500.00030.0268-0.45
0.481248.1240-0.400.00020.0205-0.35
0.481348.1250-0.300.00010.0144-0.25
0.481348.1250-0.200.00010.0085-0.15
0.481348.1260-0.100.00000.0028-0.05
0.481348.12600.00
Sheet1
Taboada
Software
Prototype slope angle (degrees)
Ground Displacement, (cm)
Sheet2
Cyclic 1D
Centrifuge
Lateral displacement, cm
Depth, m
Cyclic 1D
Centrifuge
Shear Strain, %
Depth, m
T3T6T9T12S3S6S9S12
00.10.30.40.50.363680.830941.30291.5466
0.50.10.250.350.40.363680.830941.30291.5466
2.50.080.080.150.180.363560.830891.30311.547
50.040.060.10.150.339240.758621.17511.3812
7.50.020.020.050.080.489830.486660.487440.44098
1000000000
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00000000
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T3
S3
T6
S6
T9
S9
T12
S12
MBD0013573F.xls
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Time (sec)
Acceleration (g)
Acceleration vs. time
f
Soil Properties of a 6 m high soil column
Assumptions:
Uniform soil layer overlying on rigid rock
Small damping
Lateral pressure coefficient, K0 = 0.5
Calculations:
ParameterSoil Type
Fully Saturated (Dr = 30%)Fully Saturated (Dr = 40%)Fully Saturated (Dr = 70%)Dry Soil (Dr = 30%)Dry Soil (Dr = 70%)
Uniform soil layer thickness, H (m)66666
Average soil depth (m)33333
Relative density, Dr (%)3040703070
(OS#55 Ottawa sand: emax = 0.8, emin = 0.6)
Void Ratio, e0.7400.7200.6600.7400.660
Specific gravity, Gs2.652.652.652.652.65
Saturated/Dry unit weight, g (kN/m3)19.119.219.614.915.7
Lateral pressure coefficient, k00.50.50.50.50.5
Ave. Mean effective stress, s' (kPa)1919203031
s' (psf)388392406623653
For round grains:(Hardin and Black 1968)
Gmax = (22.52-10.60e)2 x s'3/5/(1+e) for s' < 2000 psf
(Gmax is in psi and s' is in psf)
Ave. Shear modulus, Gmax (psi)44234637533658777090
Gmax (MPa)3132374149
Ave. Shear wave velocity, Vs (m/s)125128136163175
Fundamental natural frequency, f0 = Vs/(4H) (Hz)5.25.35.76.87.3
Liquefaction Resistance
Cyclic Triaxial Test Results:
Testing Conditions -
Sand: OS#55 Ottawa Sand
CSR = 0.2
Initial confining stress = 100 kPa
Fully saturated.
Results -
Dr = 30%, e = 0.740 : NL at +/- 5% axial strain = 5
Dr = 70%, e = 0.660 : NL at +/-5% axial strain = 25
Cyclic 1D
Soil Properties of a 6 m high soil column
Uniform soil layer overlying on rigid rock
Small damping
Uniform soil layer thickness, H (m)6
Lateral pressure coefficient, K0 =0.5
Relative density, Dr (%) Fully saturated=40(OS#55 Ottawa sand: emax = 0.8, emin = 0.608)
Void Ratio, e =0.720
Specific gravity, Gs =2.65
Saturated/Dry unit weight, g (kN/m3)19.2
Permeability (m/s)1 x 10-5
Calculations:
Parameter
soil depth (m)0.61.834.25.410
Ave. Mean effective stress, s' (kPa)41119263463
s' (psf)782353925497061307
For round grains:(Hardin and Black 1968)
Gmax = (22.52-10.60e)2 x s'3/5/(1+e) for s' < 2000 psf
(Gmax is in psi and s' is in psf)
Ave. Shear modulus, Gmax (psi)176534134637567465979548
Gmax (MPa)122432394666
Ave. Shear wave velocity, Vs (m/s)79110128141152183
Fundamental natural frequency, f0 = Vs/(4H) (Hz)3.34.65.35.96.4
Liquefaction Resistance
Cyclic Triaxial Test Results:
Testing Conditions -
Sand: OS#55 Ottawa Sand
CSR = 0.2
Initial confining stress = 100 kPa
Fully saturated.
Results -
Dr = 30%, e = 0.740 : NL at +/- 5% axial strain = 5
Dr = 70%, e = 0.660 : NL at +/-5% axial strain = 25
Cyclic 1D (2)
Soil Properties of a 6 m high soil column
Uniform soil layer overlying on rigid rock
Small damping
Uniform soil layer thickness, H (m)6
Lateral pressure coefficient, K0 =0.5
Relative density, Dr (%) Fully saturated=40
Permeability (m/s)1 x 10-5
Calculations:
Parameter
Loose, sand permeabilityMedium, sand permeabilityMedium-dense, sand permeability
soil depth (m)101010
Ave. Shear wave velocity, Vs (m/s)185205225
Specific gravity, Gs2.652.652.65
Saturated/Dry unit weight, g (kN/m3)19.219.219.2
Ave. Mean effective stress, s' (kPa)636363
s' (psf)130413041304
Gmax (MPa)678299
Ave. Shear modulus, Gmax (psi)97081192014360
For round grains:(Hardin and Black 1968)
Gmax = (22.52-10.60e)2 x s'3/5/(1+e) for s' < 2000 psf
(Gmax is in psi and s' is in psf)9708.912684284111960.632268222314352.4474531721
Void Ratio, e0.7110.6050.51
Relative density, Dr (%)46.3541666667101.5625151.0416666667
Liquefaction Resistance
Cyclic Triaxial Test Results:
Testing Conditions -
Sand: OS#55 Ottawa Sand
CSR = 0.2
Initial confining stress = 100 kPa
Fully saturated.
Results -
Dr = 30%, e = 0.740 : NL at +/- 5% axial strain = 5
Dr = 70%, e = 0.660 : NL at +/-5% axial strain = 25
Motion-1
Input Motion for Laminar Box Shaking
Acceleration - Velocity - Displacement Time Histories
Proposed Motion - 1
Description: Sinusoidal Motion, amax = 0.3g
umax =0.740in
f =2Hz
U=Umaxsin(wt)
t (s)u (in)v (in/s)a (g)
0.000.0000.0230.003
0.020.0010.0450.004
0.040.0020.0840.004umax =0.74in
0.060.0040.1120.003f =2Hz
0.080.0060.1250.001
0.100.0090.121-0.002
0.120.0110.098-0.004
0.140.0130.058-0.006
0.160.0130.003-0.008
0.180.013-0.063-0.009
0.200.011-0.133-0.009
0.220.008-0.202-0.008
0.240.003-0.263-0.007
0.26-0.003-0.308-0.005
0.28-0.010-0.332-0.002
0.30-0.016-0.3320.002
0.32-0.023-0.3040.006
0.34-0.029-0.2480.009
0.36-0.033-0.1660.012
0.38-0.035-0.0620.014
0.40-0.0350.0570.016
0.42-0.0330.1830.016
0.44-0.0280.3080.015
0.46-0.0210.4210.013
0.48-0.0110.5130.010
0.500.0000.5750.006
0.520.0120.6020.001
0.540.0240.587-0.005
0.560.0360.531-0.010
0.580.0450.433-0.015
0.600.0530.299-0.019
0.620.0570.134-0.023
0.640.058-0.050-0.024
0.660.055-0.242-0.025
0.680.049-0.430-0.023
0.700.038-0.599-0.020
0.720.025-0.737-0.015
0.740.009-0.833-0.009
0.76-0.009-0.879-0.002
0.78-0.027-0.8670.005
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11.78-0.272-8.5550.109
11.80-0.435-7.4440.174
11.82-0.570-5.8650.228
11.84-0.670-3.9180.268
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11.94-0.5076.7080.203
11.96-0.3578.0630.143
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12.000.0009.2020.000
12.020.1848.912-0.074
12.040.3578.063-0.143
12.060.5076.708-0.203
12.080.6254.930-0.250
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13.38-0.7390.5780.296
13.40-0.7042.8
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