A Cyclic Nonlinear Model for Concrete-Filled Tubes. I: Formulation

This paper presents a three-dimensional (3D) cyclic nonlinear finite-element model for concrete-filled steel tube (CFT) beam-columns and composite frame structures. This CFT beam finite element is incorporated into a matrix analysis program suitable for conducting monotonic static, cyclic static, or transient dynamic seismic analyses of complete composite unbraced frame structures composed of steel I-girders framing biaxially into CFT beam-columns. The material formulation consists of a concentrated plasticity bounding surface model in 3D stress-resultant (force) space. A polynomial expression developed in previous work to represent CFT cross-section strength is incorporated into this material model to represent the force-space yield surfaces. In addition, new formulations are present for isotropic and kinematic hardening of the loading and bounding surfaces to model strength degradation and stiffness deterioration of CFTs subjected to cyclic loading. Part II of this two-part paper presents the calibratio...

[1]  N. T. Tseng,et al.  Simple Plasticity Model of Two-Surface Type , 1983 .

[2]  Subhash C. Goel,et al.  Cyclic Load Behavior of Concrete‐Filled Tubular Braces , 1988 .

[3]  J. Chaboche.  Time-independent constitutive theories for cyclic plasticity , 1986 .

[4]  Chong-Won Lee,et al.  Yield surfaces and loading surfaces. Experiments and recommendations , 1979 .

[5]  Egor P. Popov,et al.  Cyclic loading for materials with a vanishing elastic region , 1977 .

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

[7]  David L. McDowell,et al.  Evaluation of intersection conditions for two-surface plasticity theory , 1989 .

[8]  川口 淳,et al.  Strength Deterioration Behavior of Concrete-Filled Steel Tubular Beam-Columns under Repeated Horizontal Loading (part 2) , 1992 .

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

[10]  David L. McDowell,et al.  A Two Surface Model for Transient Nonproportional Cyclic Plasticity, Part 1: Development of Appropriate Equations , 1985 .

[11]  Theodore V. Galambos,et al.  Load and resistance factor design of composite columns , 1996 .

[12]  Egor P. Popov,et al.  A model of nonlinearly hardening materials for complex loading , 1975 .

[13]  Michael N. Fardis,et al.  Monotonic and Cyclic Constitutive Law for Concrete , 1983 .

[14]  Zenon Mróz,et al.  On the description of anisotropic workhardening , 1967 .

[15]  Hanbin Ge,et al.  Strength analysis of concrete-filled thin-walled steel box columns , 1994 .

[16]  Hiroyuki Aoyama,et al.  Biaxial effects in modelling earthquake response of R/C structures , 1976 .

[17]  G. Powell,et al.  3D Beam‐Column Element with Generalized Plastic Hinges , 1986 .

[18]  Theodore V. Galambos,et al.  Guide to stability design criteria for metal structures , 1998 .