PressureDependMultiYield03 Material

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(This page is being updated as of June 10, 2019. Stay tuned)

(The reference for PressureDependMultiYield03 material: Khosravifar, A., Elgamal, A., Lu, J., and Li, J. [2018]. "A 3D model for earthquake-induced liquefaction triggering and post-liquefaction response." Soil Dynamics and Earthquake Engineering, 110, 43-52)

PressureDependMultiYield03 is modified from PressureDependMultiYield02 material to comply with the established guidelines on the dependence of liquefaction triggering to the number of loading cycles, effective overburden stress (Kσ), and static shear stress (Kα). Element drivers for single element simulations under undrained cyclic, undrained monotonic, drained cyclic and drained monotonic loading can be downloaded from http://soilquake.net/opensees.

nDMaterial PressureDependMultiYield03 $tag $nd $rho $refShearModul $refBulkModul $frictionAng $peakShearStra $refPress $pressDependCoe $PTAng $mType $ca $cb $cc $cd $ce $da $db $dc <$noYieldSurf=20 <$r1 $Gs1 …> $liquefac1=1. $liquefac2=0. $pa=101 <$s0=1.73>>

$ca, $cb, $cc, $cd, $ce	Non-negative constants defining the rate of contract or pore pressure buildup. See Tables 1 and 2 below for more information.
$da, $db, $dc	A non-negative constant reflecting Kσ effect.
$contrac2	Non-negative constants defining the rate of dilation. See Tables 1 and 2 below for more information.
$mType	0: Triaxial Compression; 1: Triaxial Extension; 2: Direct Shear
$s0	Numerical constant (default value = 1.73 kPa). See Tables 1 and 2 below for more information.
Others	See PressureDependMultiYield02 material above and Tables 1 and 2 below.

Table 1 provides the proposed calibrated input parameters for PressureDependMultiYield03 for four different relative densities. Table 2 provides a brief description for each parameter and the adopted calibration procedure.

NOTE:

The following values are suggested for the model parameters.

	Dr=30%	Dr=40%	Dr=50%	Dr=60%	Dr=75%
rho	1.7 ton/m3 or 1.59x10-4 (lbf)(s2)/in4	1.8 ton/m3 or 1.685x10-4 (lbf)(s2)/in4	1.9 ton/m3 or 1.778x10-4 (lbf)(s2)/in4	2.0 ton/m3 or 1.872x10-4 (lbf)(s2)/in4	2.1 ton/m3 or 1.965x10-4 (lbf)(s2)/in4
refShearModul (at p’r=80 kPa or 11.6 psi)	6x104 kPa or 8.702x103 psi	9x104 kPa or 1.305x104 psi	10x104 kPa or 1.45x104 psi	11x104 kPa or 1.595x104 psi	13x104 kPa or 1.885x104 psi
refBulkModu (at p’r=80 kPa or 11.6 psi)	16x104 kPa or 2.321x104 psi (Ko=0.5)	22x104 kPa or 3.191x104 psi (Ko=0.47)	23.3x104 kPa or 3.379x104 psi (Ko=0.45)	24x104 kPa or 3.481x104 psi (Ko=0.43)	26x104 kPa or 3.771x104 psi (Ko=0.4)
frictionAng	31	32	33.5	35	36.5
PTAng	31	26	25.5	26	26
peakShearStra (at p’r=101 kPa or 14.65 psi)	0.1
refPress (p’r,)	101 kPa or 14.65 psi
pressDependCoe	0.5
Contrac1	0.087	0.067	0.045	0.028	0.013
Contrac3	0.18	0.23	0.15	0.05	0.0
dilat1	0.	0.06	0.06	0.1	0.3
dilat3	0.0	0.27	0.15	0.05	0.0
e	0.85	0.77	0.7	0.65	0.55

Code Developed by: UC San Diego (Dr. Zhaohui Yang):

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UC San Diego Soil Model:

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    • PressureIndependMultiYield Material
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    • PressureDependMultiYield02 Material
    • PressureDependMultiYield03 Material
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