PressureDependMultiYield02
PressureDependMultiYield02 material is modified from PressureDependMultiYield material, with:
- additional parameters ($contrac3 and \(dilat3) to account for K&sigma; effect,</li> <li>a parameter to account for the influence of previous dilation history on subsequent contraction phase (\)contrac2), and
- 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>> |
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A non-negative constant reflecting Kσ effect. |
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A non-negative constant reflecting Kσ effect. |
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A non-negative constant reflecting dilation history on contraction tendency. |
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Damage parameter to define accumulated permanent shear strain as a function of dilation history. (Redefined and different from PressureDependMultiYield material). |
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Damage parameter to define biased accumulation of permanent shear strain as a function of load reversal history. (Redefined and different from PressureDependMultiYield material). |
c
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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> |
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refPress (p’<sub>r</sub>,) |
<center>101 kPa or 14.65 psi</center> |
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pressDependCoe |
<center>0.5</center> |
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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: