PressureDependMultiYield02

PressureDependMultiYield02 material is modified from PressureDependMultiYield material, with:

  1. additional parameters ($contrac3 and \(dilat3) to account for K&amp;sigma; effect,</li> <li>a parameter to account for the influence of previous dilation history on subsequent contraction phase (\)contrac2), and
  2. 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 \(dilat3 &lt;\)noYieldSurf=20 <$r1 $Gs1 …> $contrac2=5. $dilat2=3. $liquefac1=1. $liquefac2=0. $e=0.6 $cs1=0.9 $cs2=0.02 $cs3=0.7 \(pa=101 &lt;\)c=0.1>>

contrac3

A non-negative constant reflecting K&sigma; effect.

dilat3

A non-negative constant reflecting K&sigma; 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/m<sup>3</sup> or 1.59x10<sup>-4</sup> (lbf)(s<sup>2</sup>)/in<sup>4</sup>

1.8 ton/m<sup>3</sup> or 1.685x10<sup>-4</sup> (lbf)(s<sup>2</sup>)/in<sup>4</sup>

1.9 ton/m<sup>3</sup> or 1.778x10<sup>-4</sup> (lbf)(s<sup>2</sup>)/in<sup>4</sup>

2.0 ton/m<sup>3</sup> or 1.872x10<sup>-4</sup> (lbf)(s<sup>2</sup>)/in<sup>4</sup>

2.1 ton/m<sup>3</sup> or 1.965x10<sup>-4</sup> (lbf)(s<sup>2</sup>)/in<sup>4</sup>

refShearModul (at p’<sub>r</sub>=80 kPa or 11.6 psi)

6x10<sup>4</sup> kPa or 8.702x10<sup>3</sup> psi

9x10<sup>4</sup> kPa or 1.305x10<sup>4</sup> psi

10x10<sup>4</sup> kPa or 1.45x10<sup>4</sup> psi

11x10<sup>4</sup> kPa or 1.595x10<sup>4</sup> psi

13x10<sup>4</sup> kPa or 1.885x10<sup>4</sup> psi

refBulkModu (at p’<sub>r</sub>=80 kPa or 11.6 psi)

16x10<sup>4</sup> kPa or 2.321x10<sup>4</sup> psi (K<sub>o</sub>=0.5)

22x10<sup>4</sup> kPa or 3.191x10<sup>4</sup> psi (K<sub>o</sub>=0.47)

23.3x10<sup>4</sup> kPa or 3.379x10<sup>4</sup> psi (K<sub>o</sub>=0.45)

24x10<sup>4</sup> kPa or 3.481x10<sup>4</sup> psi (K<sub>o</sub>=0.43)

26x10<sup>4</sup> kPa or 3.771x10<sup>4</sup> psi (K<sub>o</sub>=0.4)

frictionAng

31

32

33.5

35

36.5

PTAng

31

26

25.5

26

26

peakShearStra (at p’<sub>r</sub>=101 kPa or 14.65 psi)

<center>0.1</center>

refPress (p’<sub>r</sub>,)

<center>101 kPa or 14.65 psi</center>

pressDependCoe

<center>0.5</center>

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:

<table border=1 width=800> <tr> <td>Example 1</td>

<td>Single 2D 9-4 noded element, subjected to sinusoidal base shaking (PressureDepend02 material)</td> </tr> <tr> <td>Example 2</td> <td>Single 3D brick element, subjected to sinusoidal base shaking (PressureDepend02 material)</td> </tr> <tr>

<td>Example 3</td> <td>Single 3D 20-8 noded element, subjected to sinusoidal base shaking (PressureDepend02 material)</td> </tr> </table>

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


UC San Diego Soil Model:

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