Stress Density Material

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This command is used to construct a multi-dimensional stress density material object for modeling sand behaviour following the work of Cubrinovski and Ishihara (1998a,b).

nDMaterial StressDensityModel $matTag $mDen $eNot $A $n $nu $a1 $b1 $a2 $b2 $a3 $b3 $fd $muNot $muCyc $sc $M $patm <$ssl1 $ssl2 $ssl3 $ssl4 $ssl5 $ssl6 $ssl7 $ssl8 $ssl9 $ssl10 $hsl $p1 $p2 $p3 $p4 $p5 $p6 $p7 $p8 $p9 $p10>
$matTag integer tag identifying material
$mDen mass density
$eNot initial void ratio
$A constant for elastic shear modulus
$n pressure dependency exponent for elastic shear modulus
$nu Poisson's ratio
$a1 peak stress ratio coefficient (etaMax = a1 + b1*Is)
$b1 peak stress ratio coefficient (etaMax = a1 + b1*Is)
$a2 max shear modulus coefficient (Gn_max = a2 + b2*Is)
$b2 max shear modulus coefficient (Gn_max = a2 + b2*Is)
$a3 min shear modulus coefficient (Gn_min = a3 + b3*Is)
$b3 min shear modulus coefficient (Gn_min = a3 + b3*Is)
$fd degradation constant
$muNot dilatancy coefficient (monotonic loading)
$muCyc dilatancy coefficient (cyclic loading)
$sc dilatancy strain
$M critical state stress ratio
$patm atmospheric pressure (in appropriate units)
<$ssl1> void ratio of quasi steady state (QSS-line) at pressure $p1 (default = 0.877)
<$ssl2> void ratio of quasi steady state (QSS-line) at pressure $p2 (default = 0.877)
<$ssl3> void ratio of quasi steady state (QSS-line) at pressure $p3 (default = 0.873)
<$ssl4> void ratio of quasi steady state (QSS-line) at pressure $p4 (default = 0.870)
<$ssl5> void ratio of quasi steady state (QSS-line) at pressure $p5 (default = 0.860)
<$ssl6> void ratio of quasi steady state (QSS-line) at pressure $p6 (default = 0.850)
<$ssl7> void ratio of quasi steady state (QSS-line) at pressure $p7 (default = 0.833)
<$ssl8> void ratio of quasi steady state (QSS-line) at pressure $p8 (default = 0.833)
<$ssl9> void ratio of quasi steady state (QSS-line) at pressure $p9 (default = 0.833)
<$ssl10> void ratio of quasi steady state (QSS-line) at pressure $p10 (default = 0.833)
<$hsl> void ratio of upper reference state (UR-line) for all pressures (default = 0.895)
<$p1> pressure corresponding to $ssl1 (default = 1.0 kPa)
<$p2> pressure corresponding to $ssl1 (default = 10.0 kPa)
<$p3> pressure corresponding to $ssl1 (default = 30.0 kPa)
<$p4> pressure corresponding to $ssl1 (default = 50.0 kPa)
<$p5> pressure corresponding to $ssl1 (default = 100.0 kPa)
<$p6> pressure corresponding to $ssl1 (default = 200.0 kPa)
<$p7> pressure corresponding to $ssl1 (default = 400.0 kPa)
<$p8> pressure corresponding to $ssl1 (default = 400.0 kPa)
<$p9> pressure corresponding to $ssl1 (default = 400.0 kPa)
<$p10> pressure corresponding to $ssl1 (default = 400.0 kPa)

The material formulations for the StressDensity object are "ThreeDimensional" and "PlaneStrain"


Code Developed by Saumyashuchi Das, University of Canterbury. Maintained by Chris McGann


General Information

This nDMaterial object provides the

Notes