Steel02 Material -- Giuffré-Menegotto-Pinto Model with Isotropic Strain Hardening

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This command is used to construct a uniaxial Giuffre-Menegotto-Pinto steel material object with isotropic strain hardening.

uniaxialMaterial Steel02 $matTag $Fy $E $b $R0 $cR1 $cR2 <$a1 $a2 $a3 $a4 $sigInit>

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$matTag	integer tag identifying material
$Fy	yield strength
$E0	initial elastic tangent
$b	strain-hardening ratio (ratio between post-yield tangent and initial elastic tangent)
$R0 $CR1 $CR2	parameters to control the transition from elastic to plastic branches. Recommended values: $R0=between 10 and 20, $cR1=0.925, $cR2=0.15
$a1	isotropic hardening parameter, increase of compression yield envelope as proportion of yield strength after a plastic strain of $a2*($Fy/E0). (optional)
$a2	isotropic hardening parameter (see explanation under $a1). (optional default = 1.0).
$a3	isotropic hardening parameter, increase of tension yield envelope as proportion of yield strength after a plastic strain of $a4*($Fy/E0). (optional default = 0.0)
$a4	isotropic hardening parameter (see explanation under $a3). (optional default = 1.0)
$sigInit	Initial Stress Value (optional, default: 0.0) the strain is calculated from epsP=$sigInit/$E if (sigInit!= 0.0) { double epsInit = sigInit/E; eps = trialStrain+epsInit; } else eps = trialStrain;

more on OpenSees uniaxialMaterial Arguments -- Steel02

REFERENCE:

Filippou, F. C., Popov, E. P., Bertero, V. V. (1983). "Effects of Bond Deterioration on Hysteretic Behavior of Reinforced Concrete Joints". Report EERC 83-19, Earthquake Engineering Research Center, University of California, Berkeley.

Steel02 Material -- Material Parameters of Monotonic Envelope

Steel02 Material -- Hysteretic Behavior of Model w/o Isotropic Hardening

Steel02 Material -- Hysteretic Behavior of Model with Isotropic Hardening in Compression

Steel01 Material -- Hysteretic Behavior of Model with Isotropic Hardening in Tension

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Code Developed by: Filip Filippou, UC Berkeley

Images Developed by: Silvia Mazzoni