Stress Density Material
- Command_Manual
- Tcl Commands
- Modeling_Commands
- model
- uniaxialMaterial
- ndMaterial
- frictionModel
- section
- geometricTransf
- element
- node
- sp commands
- mp commands
- timeSeries
- pattern
- mass
- block commands
- region
- rayleigh
- Analysis Commands
- Output Commands
- Misc Commands
- DataBase Commands
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 |
<$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