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BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS 
DEPARTMENT OF STRUCTURAL ENGINEERING 
Steel4 
A Versatile Uniaxial Material Model 
for Cyclic Nonlinear Analysis of Steel-Based 
Elements 
Ádám Zsarnóczay 
László Gergely Vigh 
OpenSees Days 2014 
Porto, Portugal
OVERVIEW 
Modeling Structural Steel for Nonlinear Seismic Assessment 
with Steel4 
11/07/2014 2
OVERVIEW 
Modeling Structural Steel for Nonlinear Seismic Assessment 
nonlinear static analysis - pushover 
with 
single brace - monotonic loading 
braced frame - monotonic loading 
Steel4 
11/07/2014 3
OVERVIEW 
Modeling Structural Steel for Nonlinear Seismic Assessment 
nonlinear static analysis - pushover 
with 
single brace - monotonic loading 
braced frame - monotonic loading 
nonlinear dynamic analysis – time history IDA 
single brace - cyclic loading 
single brace - dynamic loading 
braced frame - dynamic loading 
Steel4 
modeling buckling restrained braces 
11/07/2014 4
OVERVIEW 
Modeling Structural Steel for Nonlinear Seismic Assessment 
nonlinear static analysis - pushover 
with 
single brace - monotonic loading 
braced frame - monotonic loading 
nonlinear dynamic analysis – time history IDA 
single brace - cyclic loading 
single brace - dynamic loading 
braced frame - dynamic loading 
modeling buckling restrained braces 
Steel4 
11/07/2014 5
NONLINEAR STATIC ANALYSIS SINGLE BRACE 
model: 
result: pure material behavior ~ tensile test of steel material 
Zsarnóczay 2013 
11/07/2014 6
NONLINEAR STATIC ANALYSIS SINGLE BRACE 
model: 
result: pure material behavior ~ tensile test of steel material 
compare typical approaches using materials from OpenSees: 
Zsarnóczay 2013 
11/07/2014 7
NONLINEAR STATIC ANALYSIS SINGLE BRACE 
model: 
result: pure material behavior ~ tensile test of steel material 
compare typical approaches using materials from OpenSees: 
11/07/2014 8
NONLINEAR STATIC ANALYSIS SINGLE BRACE 
model: 
result: pure material behavior ~ tensile test of steel material 
compare typical approaches using materials from OpenSees: 
11/07/2014 9
NONLINEAR STATIC ANALYSIS SINGLE BRACE 
model: 
result: pure material behavior ~ tensile test of steel material 
compare typical approaches using materials from OpenSees: 
11/07/2014 10
NONLINEAR STATIC ANALYSIS SINGLE BRACE 
model: 
result: pure material behavior ~ tensile test of steel material 
compare typical approaches using materials from OpenSees: 
Ultimate 
Strength 
Limit 
11/07/2014 11
NONLINEAR STATIC ANALYSIS SINGLE BRACE 
model: 
result: pure material behavior ~ tensile test of steel material 
compare typical approaches using materials from OpenSees: 
11/07/2014 12
NONLINEAR STATIC ANALYSIS BRACED FRAME 
model: concentrically braced frame, 4 stories, pinned columns 
result: capacity curve (roof drift vs. base shear) 
Gulyás 2013 
11/07/2014 13
NONLINEAR STATIC ANALYSIS BRACED FRAME 
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 
11/07/2014 14
OVERVIEW 
Modeling Structural Steel for Nonlinear Seismic Assessment 
nonlinear static analysis - pushover 
with 
single brace - monotonic loading 
braced frame - monotonic loading 
nonlinear dynamic analysis – time history IDA 
single brace - cyclic loading 
single brace - dynamic loading 
braced frame - dynamic loading 
modeling buckling restrained braces 
Steel4 
11/07/2014 15
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING 
model: kihajásbiztos merevítőrudak 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using experimental results 
uniaxial loading 
Shi, Wang, Wang 2011 Martinovich 2013 
11/07/2014 16
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING 
model: kihajásbiztos merevítőrudak 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using experimental results 
bending 
Takanashi 1973 
Martinovich 2013 
11/07/2014 17
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING 
model: kihajásbiztos merevítőrudak 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using experimental results 
buckling 
Wakabayashi, Nakamura, Yoshida 1977 
Martinovich 2013 
11/07/2014 18
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING 
model: kihajásbiztos merevítőrudak 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using experimental results 
buckling 
use as reference solution 
Wakabayashi, Nakamura, Yoshida 1977 
Martinovich 2013 
11/07/2014 19
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING 
model: kihajásbiztos merevítőrudak 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using experimental results use as reference solution 
Combined 
Isotropic & Kinematic 
Hardening 
11/07/2014 20
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING 
model: kihajásbiztos merevítőrudak 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using experimental results use as reference solution 
Nonlinear Isotropic Hardening 
Zsarnóczay 2013 
11/07/2014 21
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING 
model: kihajásbiztos merevítőrudak 
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 
11/07/2014 22
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING 
model: kihajásbiztos merevítőrudak 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using advanced numerical results 
use as reference solution 
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 
11/07/2014 23
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING 
model: kihajásbiztos merevítőrudak 
San Fernando EQ rec. from PEER NGA Database: 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using advanced numerical results use as reference solution 
Memory of Load History 
11/07/2014 24
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING 
model: kihajásbiztos merevítőrudak 
San Fernando EQ rec. from PEER NGA Database: 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using advanced numerical results use as reference solution 
Memory of Load History 
11/07/2014 25
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING 
model: kihajásbiztos merevítőrudak 
San Fernando EQ rec. from PEER NGA Database: 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using advanced numerical results use as reference solution 
Memory of Load History 
11/07/2014 26
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING 
model: kihajásbiztos merevítőrudak 
San Fernando EQ rec. from PEER NGA Database: 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using advanced numerical results use as reference solution 
Memory of Load History 
Filippou, Popov, Bertero 1983 
11/07/2014 27
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING 
model: kihajásbiztos merevítőrudak 
San Fernando EQ rec. from PEER NGA Database: 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using advanced numerical results use as reference solution 
error in: maximum displacement 
error in: maximum stress 
error in: residual displacement 
error in: energy dissipation 
11/07/2014 28
NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING 
model: kihajásbiztos merevítőrudak 
San Fernando EQ rec. from PEER NGA Database: 
result: hysteresis curves describe cyclic hardening, energy dissipation 
verification of Steel4 using advanced numerical results use as reference solution 
error in: maximum displacement 
error in: maximum stress 
error in: residual displacement 
error in: energy dissipation 
11/07/2014 29
NONLINEAR DYNAMIC ANALYSIS BRACED FRAME 
model: concentrically braced frame, 4 stories, pinned columns 
imperfect brace geometry 
load: San Fernando EQ rec. from PEER NGA Database: 
11/07/2014 30
NONLINEAR DYNAMIC ANALYSIS BRACED FRAME 
model: concentrically braced frame, 4 stories, pinned columns 
imperfect brace geometry 
load: San Fernando EQ rec. from PEER NGA Database: 
11/07/2014 31
OVERVIEW 
Modeling Structural Steel for Nonlinear Seismic Assessment 
nonlinear static analysis - pushover 
with 
single brace - monotonic loading 
braced frame - monotonic loading 
nonlinear dynamic analysis – time history IDA 
single brace - cyclic loading 
single brace - dynamic loading 
braced frame - dynamic loading 
Steel4 
modeling buckling restrained braces 
11/07/2014 32
NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACE 
anti-seismic device with stable cyclic behavior 
Zsarnóczay 2013 
11/07/2014 33
NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACE 
anti-seismic device with stable cyclic behavior 
Steel4 calibrated to 15 experimental results 
parameters defined as functions of BRB geometry 
parameters defined as functions of basic material properties 
general model of the tested type of BRB 
primary challenge: 
Asymmetric Hardening 
11/07/2014 34
NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACE 
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! 
primary challenge: 
Asymmetric Hardening 
11/07/2014 35
NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACED FRAME 
influence of BRB model on the seismic performance of a BRBF 
archetype numerical model 
11/07/2014 36
NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACED FRAME 
influence of BRB model on the seismic performance of a BRBF 
BRB material 
numerical model 
11/07/2014 37
NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACED FRAME 
influence of BRB model on the seismic performance of a BRBF 
BRB material 
numerical model 
BRB response 
11/07/2014 38
NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACED FRAME 
influence of BRB model on the seismic performance of a BRBF 
BRB material 
Incremental Dynamic Analysis 
BRB response IDA and fragility curves based on FEMA P695 
11/07/2014 39
NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACED FRAME 
influence of BRB model on the seismic performance of a BRBF 
BRB material 
BRB response IDA and fragility curves based on FEMA P695 
11/07/2014 40
SUMMARY 
Steel4 – primary features: 
nonlinear kinematic hardening 
nonlinear isotropic hardening 
ultimate strength limit 
asymmetric hardening 
load history memory 
accurate and efficient 
Acknowledgement 
behavior verified by 
laboratory tests and virtual experiments 
This research was supported by the János Bolyai Research Scholarship of the Hungarian 
Academy of Sciences. 
11/07/2014 41
SUMMARY 
behavior verified by 
laboratory tests and virtual experiments 
Steel4 – primary features: 
nonlinear kinematic hardening 
nonlinear isotropic hardening 
ultimate strength limit 
asymmetric hardening 
load history memory 
accurate and efficient 
Acknowledgement 
This research was supported by the János Bolyai Research Scholarship of the Hungarian 
Academy of Sciences. 
thank you for your attention 
11/07/2014 42
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

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Steel4 - A Versatile Uniaxial Material Model for Cyclic Nonlinear Analysis of Steel-based Elements

  • 1. BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS DEPARTMENT OF STRUCTURAL ENGINEERING Steel4 A Versatile Uniaxial Material Model for Cyclic Nonlinear Analysis of Steel-Based Elements Ádám Zsarnóczay László Gergely Vigh OpenSees Days 2014 Porto, Portugal
  • 2. OVERVIEW Modeling Structural Steel for Nonlinear Seismic Assessment with Steel4 11/07/2014 2
  • 3. OVERVIEW Modeling Structural Steel for Nonlinear Seismic Assessment nonlinear static analysis - pushover with single brace - monotonic loading braced frame - monotonic loading Steel4 11/07/2014 3
  • 4. OVERVIEW Modeling Structural Steel for Nonlinear Seismic Assessment nonlinear static analysis - pushover with single brace - monotonic loading braced frame - monotonic loading nonlinear dynamic analysis – time history IDA single brace - cyclic loading single brace - dynamic loading braced frame - dynamic loading Steel4 modeling buckling restrained braces 11/07/2014 4
  • 5. OVERVIEW Modeling Structural Steel for Nonlinear Seismic Assessment nonlinear static analysis - pushover with single brace - monotonic loading braced frame - monotonic loading nonlinear dynamic analysis – time history IDA single brace - cyclic loading single brace - dynamic loading braced frame - dynamic loading modeling buckling restrained braces Steel4 11/07/2014 5
  • 6. NONLINEAR STATIC ANALYSIS SINGLE BRACE model: result: pure material behavior ~ tensile test of steel material Zsarnóczay 2013 11/07/2014 6
  • 7. NONLINEAR STATIC ANALYSIS SINGLE BRACE model: result: pure material behavior ~ tensile test of steel material compare typical approaches using materials from OpenSees: Zsarnóczay 2013 11/07/2014 7
  • 8. NONLINEAR STATIC ANALYSIS SINGLE BRACE model: result: pure material behavior ~ tensile test of steel material compare typical approaches using materials from OpenSees: 11/07/2014 8
  • 9. NONLINEAR STATIC ANALYSIS SINGLE BRACE model: result: pure material behavior ~ tensile test of steel material compare typical approaches using materials from OpenSees: 11/07/2014 9
  • 10. NONLINEAR STATIC ANALYSIS SINGLE BRACE model: result: pure material behavior ~ tensile test of steel material compare typical approaches using materials from OpenSees: 11/07/2014 10
  • 11. NONLINEAR STATIC ANALYSIS SINGLE BRACE model: result: pure material behavior ~ tensile test of steel material compare typical approaches using materials from OpenSees: Ultimate Strength Limit 11/07/2014 11
  • 12. NONLINEAR STATIC ANALYSIS SINGLE BRACE model: result: pure material behavior ~ tensile test of steel material compare typical approaches using materials from OpenSees: 11/07/2014 12
  • 13. NONLINEAR STATIC ANALYSIS BRACED FRAME model: concentrically braced frame, 4 stories, pinned columns result: capacity curve (roof drift vs. base shear) Gulyás 2013 11/07/2014 13
  • 14. NONLINEAR STATIC ANALYSIS BRACED FRAME 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 11/07/2014 14
  • 15. OVERVIEW Modeling Structural Steel for Nonlinear Seismic Assessment nonlinear static analysis - pushover with single brace - monotonic loading braced frame - monotonic loading nonlinear dynamic analysis – time history IDA single brace - cyclic loading single brace - dynamic loading braced frame - dynamic loading modeling buckling restrained braces Steel4 11/07/2014 15
  • 16. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING model: kihajásbiztos merevítőrudak result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using experimental results uniaxial loading Shi, Wang, Wang 2011 Martinovich 2013 11/07/2014 16
  • 17. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING model: kihajásbiztos merevítőrudak result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using experimental results bending Takanashi 1973 Martinovich 2013 11/07/2014 17
  • 18. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING model: kihajásbiztos merevítőrudak result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using experimental results buckling Wakabayashi, Nakamura, Yoshida 1977 Martinovich 2013 11/07/2014 18
  • 19. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING model: kihajásbiztos merevítőrudak result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using experimental results buckling use as reference solution Wakabayashi, Nakamura, Yoshida 1977 Martinovich 2013 11/07/2014 19
  • 20. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING model: kihajásbiztos merevítőrudak result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using experimental results use as reference solution Combined Isotropic & Kinematic Hardening 11/07/2014 20
  • 21. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – CYCLIC LOADING model: kihajásbiztos merevítőrudak result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using experimental results use as reference solution Nonlinear Isotropic Hardening Zsarnóczay 2013 11/07/2014 21
  • 22. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING model: kihajásbiztos merevítőrudak 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 11/07/2014 22
  • 23. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING model: kihajásbiztos merevítőrudak result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using advanced numerical results use as reference solution 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 11/07/2014 23
  • 24. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING model: kihajásbiztos merevítőrudak San Fernando EQ rec. from PEER NGA Database: result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using advanced numerical results use as reference solution Memory of Load History 11/07/2014 24
  • 25. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING model: kihajásbiztos merevítőrudak San Fernando EQ rec. from PEER NGA Database: result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using advanced numerical results use as reference solution Memory of Load History 11/07/2014 25
  • 26. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING model: kihajásbiztos merevítőrudak San Fernando EQ rec. from PEER NGA Database: result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using advanced numerical results use as reference solution Memory of Load History 11/07/2014 26
  • 27. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING model: kihajásbiztos merevítőrudak San Fernando EQ rec. from PEER NGA Database: result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using advanced numerical results use as reference solution Memory of Load History Filippou, Popov, Bertero 1983 11/07/2014 27
  • 28. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING model: kihajásbiztos merevítőrudak San Fernando EQ rec. from PEER NGA Database: result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using advanced numerical results use as reference solution error in: maximum displacement error in: maximum stress error in: residual displacement error in: energy dissipation 11/07/2014 28
  • 29. NONLINEAR DYNAMIC ANALYSIS SINGLE BRACE – DYNAMIC LOADING model: kihajásbiztos merevítőrudak San Fernando EQ rec. from PEER NGA Database: result: hysteresis curves describe cyclic hardening, energy dissipation verification of Steel4 using advanced numerical results use as reference solution error in: maximum displacement error in: maximum stress error in: residual displacement error in: energy dissipation 11/07/2014 29
  • 30. NONLINEAR DYNAMIC ANALYSIS BRACED FRAME model: concentrically braced frame, 4 stories, pinned columns imperfect brace geometry load: San Fernando EQ rec. from PEER NGA Database: 11/07/2014 30
  • 31. NONLINEAR DYNAMIC ANALYSIS BRACED FRAME model: concentrically braced frame, 4 stories, pinned columns imperfect brace geometry load: San Fernando EQ rec. from PEER NGA Database: 11/07/2014 31
  • 32. OVERVIEW Modeling Structural Steel for Nonlinear Seismic Assessment nonlinear static analysis - pushover with single brace - monotonic loading braced frame - monotonic loading nonlinear dynamic analysis – time history IDA single brace - cyclic loading single brace - dynamic loading braced frame - dynamic loading Steel4 modeling buckling restrained braces 11/07/2014 32
  • 33. NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACE anti-seismic device with stable cyclic behavior Zsarnóczay 2013 11/07/2014 33
  • 34. NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACE anti-seismic device with stable cyclic behavior Steel4 calibrated to 15 experimental results parameters defined as functions of BRB geometry parameters defined as functions of basic material properties general model of the tested type of BRB primary challenge: Asymmetric Hardening 11/07/2014 34
  • 35. NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACE 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! primary challenge: Asymmetric Hardening 11/07/2014 35
  • 36. NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACED FRAME influence of BRB model on the seismic performance of a BRBF archetype numerical model 11/07/2014 36
  • 37. NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACED FRAME influence of BRB model on the seismic performance of a BRBF BRB material numerical model 11/07/2014 37
  • 38. NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACED FRAME influence of BRB model on the seismic performance of a BRBF BRB material numerical model BRB response 11/07/2014 38
  • 39. NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACED FRAME influence of BRB model on the seismic performance of a BRBF BRB material Incremental Dynamic Analysis BRB response IDA and fragility curves based on FEMA P695 11/07/2014 39
  • 40. NONLINEAR DYNAMIC ANALYSIS BUCKLING RESTRAINED BRACED FRAME influence of BRB model on the seismic performance of a BRBF BRB material BRB response IDA and fragility curves based on FEMA P695 11/07/2014 40
  • 41. SUMMARY Steel4 – primary features: nonlinear kinematic hardening nonlinear isotropic hardening ultimate strength limit asymmetric hardening load history memory accurate and efficient Acknowledgement behavior verified by laboratory tests and virtual experiments This research was supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences. 11/07/2014 41
  • 42. SUMMARY behavior verified by laboratory tests and virtual experiments Steel4 – primary features: nonlinear kinematic hardening nonlinear isotropic hardening ultimate strength limit asymmetric hardening load history memory accurate and efficient Acknowledgement This research was supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences. thank you for your attention 11/07/2014 42
  • 43. 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