Plastic hinge development of frame members using a nonlinear hardening rule

A nonlinear hardening rule that defines a yield surface translation for homogeneous frame member materials is proposed. The rule is defined as a nonlinear constitutive relationship that examines material behavior through a postelastic perspective. The gradual development of the postelastic states of a beam along its length and through its section thickness is analyzed. The model uses a hardening index parameter to guide the nonlinear stress–strain relationship, and a smooth function to model the web–flange intersection of frame members. As such, nonlinear curvature distributions with continuous derivatives are determined along the length of the member, which enables lateral displacements to be accurately predicted. Plastic hinge lengths and finite-element displacements are subsequently determined, and a nonlinear stiffness is derived. The model is formulated on a constitutive level and applies a smoothed-over cross section to derive a single internal moment expression for any postelastic state. Results ar...

[1]  G. J. Creus,et al.  On the integration of stresses in large deformations plasticity , 1999 .

[2]  Wei Jiang.  General Kinematic-Isotropic Hardening Model , 1999 .

[3]  Seung-Eock Kim,et al.  Improved refined plastic-hinge analysis accounting for local buckling , 2001 .

[4]  A. Needleman.  On finite element formulations for large elastic-plastic deformations , 1985 .

[5]  Julio Flórez-López,et al.  Simplified Model of Low Cycle Fatigue for RC Frames , 1998 .

[6]  Hong Chen,et al.  Spread-of-plasticity analysis of three-dimensional steel frames , 2002 .

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

[8]  Amr S. Elnashai,et al.  Performance of composite steel/concrete members under earthquake loading. Part I: Analytical model , 1993 .

[9]  Athanasios I. Karabinis,et al.  Plasticity Model for Reinforced Concrete Elements Subjected to Overloads , 2001 .

[10]  Helen M. Goldsworthy,et al.  ENERGY DISSIPATION IN DETERMINATE STEEL BEAMS , 1992 .

[11]  Gregory G. Deierlein,et al.  Spread of Plasticity—Quasi-Plastic-Hinge Approach , 1984 .

[12]  John Brand Martin,et al.  Plasticity: Fundamentals and General Results , 1975 .

[13]  Tsutomu Usami,et al.  Cyclic Behavior of Structural Steels. II: Theory , 1995 .

[14]  Oguzhan Bayrak,et al.  Plastic hinge analysis , 2001 .

[15]  A. Mendelson.  Plasticity: Theory and Application , 1968 .

[16]  Irving H. Shames.  Elastic and inelastic stress analysis , 1991 .

[17]  Federico Perotti,et al.  Cyclic behaviour of axially loaded members: Numerical simulation and experimental verification , 1987 .

[18]  Amr S. Elnashai,et al.  Modelling of material non‐linearities in steel structures subjected to transient dynamic loading , 1993 .

[19]  Achintya Haldar,et al.  Nonlinear Seismic Analysis of Space Structures with Partially Restrained Cnnections. , 1995 .

[20]  Egor P. Popov,et al.  Panel zone flexibility in seismic moment joints , 1987 .

[21]  Egor P. Popov,et al.  Constitutive Relations for Generalized Loadings , 1977 .

[22]  G. M. Barsan,et al.  Computer program for large deflection elasto-plastic analysis of semi-rigid steel frameworks , 1999 .

[23]  N. E. Shanmugam,et al.  Testing of semi-rigid unbraced frames for calibration of second-order inelastic analysis , 1997 .

[24]  W. F. Chen,et al.  Improved nonlinear plastic hinge analysis of space frame structures , 2000 .

[25]  G. H. Powell,et al.  Generalized plastic hinge concepts for 3D beam-column elements , 1981 .

[26]  Wilfred D. Iwan,et al.  On a Class of Models for the Yielding Behavior of Continuous and Composite Systems , 1967 .

[27]  William Prager,et al.  The Theory of Plasticity: A Survey of Recent Achievements , 1955 .

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

[29]  Hanbin Ge,et al.  Elastoplastic analysis of steel members and frames subjected to cyclic loading , 2000 .

[30]  Robert E. Englekirk.  Steel Structures: Controlling Behavior Through Design , 1994 .

[31]  Wilfried B. Krätzig,et al.  Dynamics of civil engineering structures , 1996 .

[32]  Michael Brünig,et al.  NONLINEAR FINITE ELEMENT ANALYSIS BASED ON A LARGE STRAIN DEFORMATION THEORY OF PLASTICITY , 1998 .