Cyclic Elastoplastic Large Deflection Analysis of Thin Steel Plates

This paper deals with the elastoplastic large deflection analysis of thin steel plates subjected to in-plane cyclic compression and tension using the finite element method. The modified two-surface plasticity model, recently developed by the authors, and the approximate updated Lagrangian description of motion are employed, respectively, for material and geometrical nonlinearities in the elastoplastic finite element formulation for plates. The plate element is implemented in the computer program FEAP used in the analysis. The formulation accounts for important cyclic characteristics of structural steel within the yield plateau and hardening regime, such as the decrease and disappearance of the yield plateau, reduction of the elastic range, and cyclic strain hardening, as well as the spread of plasticity through the thickness and plane of the plate. The cyclic elastoplastic performance of the formulation was found to be good when compared with the results obtained from other material models. Based on the results of an extensive parametric study, the effect of loading history and some important plate parameters on the hysteretic behavior of thin plates is discussed and evaluated.

[1]  Yannis F. Dafalias,et al.  Plastic Internal Variables Formalism of Cyclic Plasticity , 1976 .

[2]  Gouri Dhatt,et al.  A new discrete Kirchhoff plate/shell element with updated procedures , 1989 .

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

[4]  Iraj Hossein Pouli Mamaghani.  Cyclic elastoplastic behavior of steel structures : theory and experiment , 1996 .

[5]  Tsutomu Usami,et al.  A TWO-SURFACE MODEL FOR STEELS WITH YIELD PLATEAU , 1992 .

[6]  Yuhshi Fukumoto,et al.  Cyclic behaviour of plates under in-plane loading , 1985 .

[7]  D. Owen,et al.  Finite elements in plasticity : theory and practice , 1980 .

[8]  H. Saunders.  Book Reviews : The Finite Element Method (Revised): O.C. Zienkiewicz McGraw-Hill Book Co., New York, New York , 1980 .

[9]  Tsutomu Usami,et al.  Inelastic large deflection analysis of structural steel members under cyclic loading , 1996 .

[10]  K. Washizu,et al.  Variational Methods in Elasticity and Plasticity, 3rd Ed. , 1982 .

[11]  Tsutomu Usami,et al.  Cyclic Behavior of Structural Steels. I: Experiments , 1995 .

[12]  Mark A. Bradford,et al.  Inelastic local buckling of plates and plate assemblies using bubble functions , 1995 .

[13]  V. de Ville de Goyet,et al.  Improved nonlinear finite elements for oriented bodies using an extension of marguerre's theory , 1983 .

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

[15]  Klaus-Jürgen Bathe,et al.  A simple and effective element for analysis of general shell structures , 1981 .

[16]  Tsutomu Usami,et al.  CYCLIC ELASTO-PLASTIC FINITE DISPLACEMENT ANALYSIS OF PLATES WITH MODIFIED TWO-SURFACE MODEL , 1995 .

[17]  Tsutomu Usami,et al.  Effective Width of Locally Buckled Plates in Compression and Bending , 1993 .