Parameter identification of three hysteretic models for the simulation of the response of CFT columns to cyclic loading

Abstract A computational study is conducted to investigate the nonlinear response of square concrete-filled steel tubes (CFT) subjected to constant axial load and cyclically varying flexural loading. An accurate nonlinear finite element model is created with the ATENA software which includes all the important factors affecting the response of CFT members, such as, cyclic local buckling of steel tube, nonlinear behavior of confined concrete into tension and compression, cyclic softening and the interface action between steel tube and in-filled concrete. The validity of this finite element model is established by comparing its results with those of existing experiments. Using this finite element model, an extensive parametric study is conducted to determine expressions, providing the necessary parameters in three hysteretic models including strength and stiffness degradation. These hysteretic models are: (a) the Bouc–Wen model, (b) the Ramberg–Osgood model, and (c) the Al-Bermani model. The parametric study involves sixty-four CFT columns with different width to thickness ratios, steel tube strength and concrete strength under a recognized cyclic load protocol with variable intensity. Using these calibrated hysteretic models in the framework of the RUAUMOKO program, comparisons with experimental and numerical results are made for further model adjustments. As a result, one can directly use the aforementioned hysteretic models for the simulation of CFT columns alone or as members of composite MRFs frames to determine their response to cyclic loading.

[1]  S. H. Lo,et al.  Shear transfer in bolted side-plated reinforced concrete beams , 2013 .

[2]  Nathaniel G. Cofie,et al.  Uniaxial Cyclic Stress-Strain Behavior of Structural Steel , 1985 .

[3]  George D. Hatzigeorgiou,et al.  Numerical model for the behavior and capacity of circular CFT columns, Part I. Theory , 2008 .

[4]  Hiroyoshi Tokinoya,et al.  Behavior of Concrete-Filled Steel Tube Beam Columns , 2004 .

[5]  Thomas T. Baber,et al.  Random Vibration Hysteretic, Degrading Systems , 1981 .

[6]  Jerome F. Hajjar,et al.  A distributed plasticity model for cyclic analysis of concrete-filled steel tube beam-columns and composite frames , 1998 .

[7]  A A Golafshani,et al.  COMPREHENSIVE COMPOSITE INELASTIC FIBER ELEMENT FOR CYCLIC ANALYSIS OF CONCRETE-FILLED STEEL TUBE COLUMNS , 2002 .

[8]  Hiroshi Nakai,et al.  Experimental study on ultimate strength and ductility of concrete filled steel columns under strong earthquake , 1999 .

[9]  Philip C. Perdikaris,et al.  Size Effect on Fracture Energy of Concrete and Stability Issues in Three-Point Bending Fracture Toughness Testing , 1995 .

[10]  K. Willam,et al.  Triaxial failure criterion for concrete and its generalization , 1995 .

[11]  N. E. Shanmugam,et al.  Concrete-filled tubular columns part 1 - Cross-section analysis , 2004 .

[12]  C. O. Frederick,et al.  A mathematical representation of the multiaxial Bauschinger effect , 2007 .

[13]  A W Beeby,et al.  CONCISE EUROCODE FOR THE DESIGN OF CONCRETE BUILDINGS. BASED ON BSI PUBLICATION DD ENV 1992-1-1: 1992. EUROCODE 2: DESIGN OF CONCRETE STRUCTURES. PART 1: GENERAL RULES AND RULES FOR BUILDINGS , 1993 .

[14]  Joaquim A. O. Barros,et al.  Experimental and numerical assessment of the effectiveness of FRP-based strengthening configurations for dapped-end RC beams , 2012 .

[15]  M. V. Sivaselvan,et al.  Hysteretic models for deteriorating inelastic structures , 2000 .

[16]  W. Ramberg,et al.  Description of Stress-Strain Curves by Three Parameters , 1943 .

[17]  Jerome F. Hajjar,et al.  A Cyclic Nonlinear Model for Concrete-Filled Tubes. II: Verification , 1997 .

[18]  Zafer I. Sakka,et al.  Strength and ductility of reinforced concrete slabs containing welded wire fabric and subjected to support settlement , 2010 .

[19]  Jerome F. Hajjar,et al.  Mixed Finite Element for Three-Dimensional Nonlinear Dynamic Analysis of Rectangular Concrete-Filled Steel Tube Beam-Columns , 2010 .

[20]  David A. Nethercot,et al.  Modelling steel frame behaviour under fire conditions , 1991 .

[21]  Jian-Sheng Fan,et al.  Experimental study on seismic behavior of concrete filled steel tube columns under pure torsion and compression–torsion cyclic load , 2012 .

[22]  Michael C. Constantinou,et al.  Hysteretic dampers in base isolation: Random approach , 1985 .

[23]  V. Koumousis,et al.  On the response and dissipated energy of Bouc-Wen hysteretic model , 2008 .

[24]  George D. Hatzigeorgiou,et al.  Minimum cost design of fibre-reinforced concrete-filled steel tubular columns , 2005 .

[25]  T K Hight,et al.  Mathematical modeling of the stress strain-strain rate behavior of bone using the Ramberg-Osgood equation. , 1983, Journal of biomechanics.

[26]  Jerome F. Hajjar,et al.  A distributed plasticity model for concrete-filled steel tube beam-columns with interlayer slip , 1998 .

[27]  Lin-Hai Han,et al.  Concrete-filled Tubular Members and Connections , 2010 .

[28]  N. E. Shanmugam,et al.  CONCRETE-FILLED TUBULAR COLUMNS: PART 2 — COLUMN ANALYSIS , 2004 .

[29]  Michel Bruneau,et al.  Cyclic Testing of Concrete-Filled Circular Steel Bridge Piers having Encased Fixed-Based Detail , 2004 .

[30]  Vincenzo Piluso,et al.  Prediction of the Rotation Capacity of Aluminium Alloy Beams , 1997 .

[31]  Atorod Azizinamini,et al.  Behavior and strength of circular concrete-filled tube columns , 2002 .

[32]  Faris Albermani,et al.  Dynamic response of flexibly jointed frames , 1995 .

[33]  R. Bouc Forced Vibration of Mechanical Systems with Hysteresis , 1967 .

[34]  Jerome F. Hajjar,et al.  Representation of Concrete-Filled Steel Tube Cross-Section Strength , 1996 .

[35]  Aníbal Costa,et al.  Numerical modelling of the cyclic behaviour of RC elements built with plain reinforcing bars , 2011 .

[36]  Greg Foliente,et al.  Hysteresis Modeling of Wood Joints and Structural Systems , 1995 .

[37]  Richard Sause,et al.  Seismic Behavior and Design of High-Strength Square Concrete-Filled Steel Tube Beam Columns , 2004 .

[38]  Sina Sinaie,et al.  On the calibration of the Chaboche hardening model and a modified hardening rule for uniaxial ratcheting prediction , 2009 .

[39]  R. Pyke,et al.  NONLINEAR SOIL MODELS FOR IRREGULAR CYCLIC LOADINGS , 1979 .

[40]  N. E. Shanmugam,et al.  State of the art report on steel–concrete composite columns , 2001 .

[41]  Lin-Hai Han,et al.  Concrete-filled thin-walled steel SHS and RHS beam-columns subjected to cyclic loading , 2003 .

[42]  George D. Hatzigeorgiou,et al.  Numerical model for the behavior and capacity of circular CFT columns, Part II: Verification and extension , 2008 .

[43]  Y. Wen Method for Random Vibration of Hysteretic Systems , 1976 .

[44]  Faris Albermani,et al.  Cyclic and seismic response of flexibly jointed frames , 1994 .

[45]  Carlos Chastre,et al.  A smeared crack analysis of reinforced concrete T-beams strengthened with GFRP composites , 2013 .

[46]  Wai-Fah Chen,et al.  Plasticity for Structural Engineers , 1988 .

[47]  Richard Sause,et al.  Seismic behavior and modeling of high-strength composite concrete-filled steel tube (CFT) beam–columns , 2002 .

[48]  Hanbin Ge,et al.  Cyclic Tests of Concrete-Filled Steel Box Columns , 1996 .