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>>

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$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:

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

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UC San Diego Soil Model:

• NDMaterial Command
  • UC San Diego soil models (Linear/Nonlinear, dry/drained/undrained soil response under general 2D/3D static/cyclic loading conditions (please visit UCSD for examples)
    • PressureIndependMultiYield Material
    • PressureDependMultiYield Material
    • PressureDependMultiYield02 Material
    • PressureDependMultiYield03 Material
  • UC San Diego Saturated Undrained soil
    • FluidSolidPorousMaterial

• Element Command
  • UC San Diego u-p element (saturated soil)
    • Four Node Quad u-p Element
    • Brick u-p Element
    • bbarQuad u-p Element
    • bbarBrick u-p Element
    • Nine Four Node Quad u-p Element
    • Twenty Eight Node Brick u-p Element
• Related References

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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)