steel4 - a versatile uniaxial material model for cyclic nonlinear analysis of steel-based elements
DESCRIPTION
Presentation made by Dr. Adam Zsarnoczay @ University of Porto during the OpenSees Days Portugal 2014 workshopTRANSCRIPT
Steel4
A Versatile Uniaxial Material Model
for Cyclic Nonlinear Analysis of Steel-Based
Elements
Ádám Zsarnóczay
László Gergely Vigh
BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS
DEPARTMENT OF STRUCTURAL ENGINEERING
OpenSees Days 2014
Porto, Portugal
OVERVIEW
11/07/2014 2
Modeling Structural Steel for Nonlinear Seismic Assessmentwith Steel4
OVERVIEW
11/07/2014 3
nonlinear static analysis - pushover
single brace - monotonic loading
Modeling Structural Steel for Nonlinear Seismic Assessmentwith
braced frame - monotonic loading
Steel4
OVERVIEW
11/07/2014 4
nonlinear static analysis - pushover
single brace - monotonic loading
nonlinear dynamic analysis – time history IDA
Modeling Structural Steel for Nonlinear Seismic Assessmentwith
braced frame - monotonic loading
single brace - cyclic loading
single brace - dynamic loading
braced frame - dynamic loading
Steel4
modeling buckling restrained braces
OVERVIEW
11/07/2014 5
nonlinear static analysis - pushover
single brace - monotonic loading
nonlinear dynamic analysis – time history IDA
Modeling Structural Steel for Nonlinear Seismic Assessmentwith
braced frame - monotonic loading
single brace - cyclic loading
single brace - dynamic loading
braced frame - dynamic loading
modeling buckling restrained braces
Steel4
NONLINEAR STATIC ANALYSIS
SINGLE BRACE
11/07/2014 6
model:
result: pure material behavior ~ tensile test of steel material
Zsarnóczay 2013
NONLINEAR STATIC ANALYSIS
SINGLE BRACE
11/07/2014 7
model:
result: pure material behavior ~ tensile test of steel material
compare typical approaches using materials from OpenSees:
Zsarnóczay 2013
NONLINEAR STATIC ANALYSIS
SINGLE BRACE
11/07/2014 8
model:
result: pure material behavior ~ tensile test of steel material
compare typical approaches using materials from OpenSees:
NONLINEAR STATIC ANALYSIS
SINGLE BRACE
11/07/2014 9
model:
result: pure material behavior ~ tensile test of steel material
compare typical approaches using materials from OpenSees:
NONLINEAR STATIC ANALYSIS
SINGLE BRACE
11/07/2014 10
model:
result: pure material behavior ~ tensile test of steel material
compare typical approaches using materials from OpenSees:
NONLINEAR STATIC ANALYSIS
SINGLE BRACE
11/07/2014 11
model:
result: pure material behavior ~ tensile test of steel material
compare typical approaches using materials from OpenSees:
Ultimate Strength Limit
NONLINEAR STATIC ANALYSIS
SINGLE BRACE
11/07/2014 12
model:
result: pure material behavior ~ tensile test of steel material
compare typical approaches using materials from OpenSees:
NONLINEAR STATIC ANALYSIS
BRACED FRAME
11/07/2014 13
model: concentrically braced frame, 4 stories, pinned columns
result: capacity curve (roof drift vs. base shear)
Gulyás 2013
NONLINEAR STATIC ANALYSIS
BRACED FRAME
11/07/2014 14
model: concentrically braced frame, 4 stories, pinned columns
result: capacity curve (roof drift vs. base shear)
compare typical approaches using materials from OpenSees:
Gulyás 2013
OVERVIEW
11/07/2014 15
nonlinear static analysis - pushover
single brace - monotonic loading
nonlinear dynamic analysis – time history IDA
Modeling Structural Steel for Nonlinear Seismic Assessmentwith
braced frame - monotonic loading
single brace - cyclic loading
single brace - dynamic loading
braced frame - dynamic loading
modeling buckling restrained braces
Steel4
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – CYCLIC LOADING
11/07/2014 16
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using experimental results
uniaxial loading
Shi, Wang, Wang 2011 Martinovich 2013
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – CYCLIC LOADING
11/07/2014 17
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using experimental results
bending
Takanashi 1973Martinovich 2013
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – CYCLIC LOADING
11/07/2014 18
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using experimental results
buckling
Wakabayashi, Nakamura, Yoshida 1977Martinovich 2013
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – CYCLIC LOADING
11/07/2014 19
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using experimental results
buckling
use as reference solution
Wakabayashi, Nakamura, Yoshida 1977Martinovich 2013
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – CYCLIC LOADING
11/07/2014 20
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using experimental results use as reference solution
Combined Isotropic & Kinematic
Hardening
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – CYCLIC LOADING
11/07/2014 21
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using experimental results use as reference solution
Nonlinear Isotropic Hardening
Zsarnóczay 2013
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – DYNAMIC LOADING
11/07/2014 22
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using advanced numerical results
response of SDOF system to a real ground motion record
solid model + complex 3D material in ANSYS vs.
truss model + Steel4 in OpenSees
Zsarnóczay, Budaházy 2013
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – DYNAMIC LOADING
11/07/2014 23
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using advanced numerical results
response of SDOF system to a real ground motion record
solid model + complex 3D material in ANSYS vs.
truss model + Steel4 in OpenSees
use as reference solution
Zsarnóczay, Budaházy 2013
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – DYNAMIC LOADING
11/07/2014 24
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using advanced numerical results use as reference solution
Memory of Load History
San Fernando EQ rec. from PEER NGA Database:
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – DYNAMIC LOADING
11/07/2014 25
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using advanced numerical results use as reference solution
Memory of Load History
San Fernando EQ rec. from PEER NGA Database:
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – DYNAMIC LOADING
11/07/2014 26
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using advanced numerical results use as reference solution
Memory of Load History
San Fernando EQ rec. from PEER NGA Database:
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – DYNAMIC LOADING
11/07/2014 27
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using advanced numerical results use as reference solution
Memory of Load History
San Fernando EQ rec. from PEER NGA Database:
Filippou, Popov, Bertero 1983
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – DYNAMIC LOADING
11/07/2014 28
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using advanced numerical results use as reference solution
error in: maximum displacementerror in: maximum stresserror in: residual displacementerror in: energy dissipation
San Fernando EQ rec. from PEER NGA Database:
NONLINEAR DYNAMIC ANALYSIS
SINGLE BRACE – DYNAMIC LOADING
11/07/2014 29
kihajásbiztos merevítőrudakmodel:
result: hysteresis curves describe cyclic hardening, energy dissipation
verification of Steel4 using advanced numerical results use as reference solution
San Fernando EQ rec. from PEER NGA Database:
error in: maximum displacementerror in: maximum stresserror in: residual displacementerror in: energy dissipation
NONLINEAR DYNAMIC ANALYSIS
BRACED FRAME
11/07/2014 30
model: concentrically braced frame, 4 stories, pinned columnsimperfect brace geometry
San Fernando EQ rec. from PEER NGA Database:load:
NONLINEAR DYNAMIC ANALYSIS
BRACED FRAME
11/07/2014 31
model: concentrically braced frame, 4 stories, pinned columnsimperfect brace geometry
San Fernando EQ rec. from PEER NGA Database:load:
OVERVIEW
11/07/2014 32
nonlinear static analysis - pushover
single brace - monotonic loading
nonlinear dynamic analysis – time history IDA
Modeling Structural Steel for Nonlinear Seismic Assessmentwith
braced frame - monotonic loading
single brace - cyclic loading
single brace - dynamic loading
braced frame - dynamic loading
Steel4
modeling buckling restrained braces
NONLINEAR DYNAMIC ANALYSIS
BUCKLING RESTRAINED BRACE
11/07/2014 33
anti-seismic device with stable cyclic behavior
Zsarnóczay 2013
NONLINEAR DYNAMIC ANALYSIS
BUCKLING RESTRAINED BRACE
11/07/2014 34
anti-seismic device with stable cyclic behavior
Asymmetric Hardening
Steel4 calibrated to 15 experimental results
parameters defined as functions of BRB geometryparameters defined as functions of basic material properties
general model of the tested type of BRB
primary challenge:
NONLINEAR DYNAMIC ANALYSIS
BUCKLING RESTRAINED BRACE
11/07/2014 35
Asymmetric Hardening
primary challenge:
modified the Menegotto-Pinto formula to properly model
the Bauschinger effect under limited hardening (fu)the influence of non-symmetric hardening on the yield surface
works for isotropic, kinematic or their combination!
NONLINEAR DYNAMIC ANALYSIS
BUCKLING RESTRAINED BRACED FRAME
11/07/2014 36
influence of BRB model on the seismic performance of a BRBF
archetype numerical model
NONLINEAR DYNAMIC ANALYSIS
BUCKLING RESTRAINED BRACED FRAME
11/07/2014 37
influence of BRB model on the seismic performance of a BRBF
BRB material
numerical model
NONLINEAR DYNAMIC ANALYSIS
BUCKLING RESTRAINED BRACED FRAME
11/07/2014 38
influence of BRB model on the seismic performance of a BRBF
BRB material
numerical model
BRB response
NONLINEAR DYNAMIC ANALYSIS
BUCKLING RESTRAINED BRACED FRAME
11/07/2014 39
influence of BRB model on the seismic performance of a BRBF
BRB material
BRB response IDA and fragility curves based on FEMA P695
Incremental Dynamic Analysis
NONLINEAR DYNAMIC ANALYSIS
BUCKLING RESTRAINED BRACED FRAME
11/07/2014 40
influence of BRB model on the seismic performance of a BRBF
BRB material
IDA and fragility curves based on FEMA P695BRB response
SUMMARY
11/07/2014 41
Steel4 – primary features:
nonlinear kinematic hardening
nonlinear isotropic hardening
ultimate strength limit
asymmetric hardening
load history memory
accurate and efficient
This research was supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences.
Acknowledgement
behavior verified by
laboratory tests and virtual experiments
SUMMARY
11/07/2014 42
behavior verified by
laboratory tests and virtual experiments
This research was supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences.
Acknowledgement
thank you for your attention
Steel4 – primary features:
nonlinear kinematic hardening
nonlinear isotropic hardening
ultimate strength limit
asymmetric hardening
load history memory
accurate and efficient
References
Gulyás Gy 2013, Reliability analysis of steel building structures in high seismicity zones – Analysis of
quasi-elastic and dissipative concentrically braced frames - MSc Thesis, BME Department of Structural
Engineering, Budapest (in Hungarian)
Filippou FC, Popov EP, Bertero VV 1983, Effects of bond deterioration on hysteretic behavior of
reinforced concrete joints. EERC report, University of California, Berkeley, CA
Martinovich K 2013, Verification of structural steel material model developed to nonlinear seismic
analysis, Master Theses, BME Department of Structural Engineering,(in Hungarian)
Shi Y, Wang M, Wang Y 2011, Experimental and constiutive model study of structural steel under cyclic
loading, Journal of Constructional Steel Research, 67, 1185-1197
Takanashi K 1973, Inelastic lateral buckling of steel beams subjected to repeated and reversed loadings
Proc. 5th World Conf. Earthquake Engineering. Vol. 1, 795-798, International Association fo Eartquake
Engineering, Rome, Italy
Wakabayashi M, Nakamura T, Yoshida N. 1977, Experimental studies on the elastic-plastic behavior of
braced frames under repeated horizontal loading. Part 1 Experiments of braces with an H-shaped cross
section in a frame, Kyoto: Bulletin of the Diaster Prevention Research Institute, 27(3), 121-154
Zsarnóczay Á 2013, Experimental and Numerical Analysis of Buckling Restrained Braced Frames for
Eurocode Conform Design Procedure Evaluation – PhD Dissertation, BME Department of Structural
Engineering, Budapest
Zsarnóczay Á, Budaházy V 2013, Uniaxial material model development for nonlinear response history
analysis of steel frames, Proc. 2nd Conference of Junior Researchers in Civil Engineering, pp. 307-317