PressureDependMultiYield02 Material

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PressureDependMultiYield02 material is modified from PressureDependMultiYield material, with:

  1. additional parameters ($contrac3 and $dilat3) to account for Kσ effect,
  2. a parameter to account for the influence of previous dilation history on subsequent contraction phase ($contrac2), and
  3. modified logic related to permanent shear strain accumulation ($liquefac1 and $liquefac2).


nDMaterial PressureDependMultiYield02 $tag $nd $rho $refShearModul $refBulkModul $frictionAng $peakShearStra $refPress $pressDependCoe $PTAng $contrac1 $contrac3 $dilat1 $dilat3 <$noYieldSurf=20 <$r1 $Gs1 …> $contrac2=5. $dilat2=3. $liquefac1=1. $liquefac2=0. $e=0.6 $cs1=0.9 $cs2=0.02 $cs3=0.7 $pa=101 <$c=0.1>>


$contrac3 A non-negative constant reflecting Kσ effect.
$dilat3 A non-negative constant reflecting Kσ effect.
$contrac2 A non-negative constant reflecting dilation history on contraction tendency.
$liquefac1 Damage parameter to define accumulated permanent shear strain as a function of dilation history. (Redefined and different from PressureDependMultiYield material).
$liquefac2 Damage parameter to define biased accumulation of permanent shear strain as a function of load reversal history. (Redefined and different from PressureDependMultiYield material).
$c Numerical constant (default value = 0.1 kPa)
Others See PressureDependMultiYield material above.


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


Pressure Dependent MultiYield02 Material Examples:

Example 1 Single 2D 9-4 noded element, subjected to sinusoidal base shaking (PressureDepend02 material)
Example 2 Single 3D brick element, subjected to sinusoidal base shaking (PressureDepend02 material)
Example 3 Single 3D 20-8 noded element, subjected to sinusoidal base shaking (PressureDepend02 material)


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


UC San Diego Soil Model: