A finite strip method for the elastic—plastic large dlisplacement analysis of thin-walled and cold-formed steel sections

Abstract A large deflection elastic—plastic analysis has been developed using the finite strip method of structural analysis to determine the non-linear local buckling behaviour of thin-walled and cold-formed sections in compression. The analysis accounts for plate geometric imperfections, the variation of yield stress around a section, the stress—strain characteristics of the material forming the section and complex patterns of residual stress produced by the cold-forming process. The analysis is verified against reliable solutions for the non-linear buckling behaviour of plates and plate assemblies in axial compression and the non-linear overall buckling behaviour of a strut. The analysis is further compared with the results of plates with a rounded stress—strain curve typical of cold-formed steel and aluminium.

[1]  Y. K. Cheung,et al.  FINITE STRIP METHOD IN STRUCTURAL ANALYSIS , 1976 .

[2]  M. Crisfield.  A FAST INCREMENTAL/ITERATIVE SOLUTION PROCEDURE THAT HANDLES "SNAP-THROUGH" , 1981 .

[3]  M A Crisfield.  LARGE-DEFLECTION ELASTO-PLASTIC BUCKLING ANALYSIS OF ECCENTRICALLY STIFFENED PLATES USING FINITE ELEMENTS , 1976 .

[4]  J. A. Stricklin,et al.  Formulations and solution procedures for nonlinear structural analysis , 1977 .

[5]  J. A. Stricklin,et al.  Computation and solution procedures for non-linear analysis by combined finite element — finite difference methods , 1972 .

[6]  G J Hancock,et al.  AN EXPERIMENTAL INVESTIGATION OF THE COLUMN BEHAVIOUR OF COLD FORMED SQUARE HOLLOW SECTIONS , 1985 .

[7]  G. H. Little.  Rapid analysis of plate collapse by live-energy minimisation , 1977 .

[8]  Srinivasan Sridharan,et al.  Postbuckling Analyses with Finite Strips , 1981 .

[9]  A. R. Cusens,et al.  A finite strip method for the geometrically nonlinear analysis of plate structures , 1983 .

[10]  Graham H. Powell,et al.  Evaluation of solution schemes for nonlinear structures , 1978 .

[11]  G. H. Little.  Collapse behaviour of aluminium plates , 1982 .

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

[13]  Gregory J. Hancock,et al.  A theoretical investigation of the column behaviour of cold-formed square hollow sections , 1993 .

[14]  Gregory J. Hancock,et al.  Nonlinear elastic response of locally buckled thin-walled beam-columns , 1987 .

[15]  M A Crisfield.  LARGE-DEFLECTION ELASTO-PLASTIC BUCKLING ANALYSIS OF PLATES USING FINITE ELEMENTS , 1973 .

[16]  Srinivasan Sridharan.  A semi-analytical method for the post-local-torsional buckling analysis of prismatic plate structures , 1982 .

[17]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[18]  Gregory J. Hancock,et al.  Nonlinear Analysis of Thin Sections in Compression , 1979 .

[19]  V. V. Novozhilov,et al.  Foundations of the nonlinear theory of elasticity , 1953 .

[20]  J. T. Gierlinski,et al.  The geometric non-linear analysis of thin-walled structures by finite strips , 1984 .

[21]  R. Hobbs,et al.  THE ELASTO-PLASTIC ANALYSIS OF IMPERFECT SQUARE PLATES UNDER IN-PLANE LOADING. , 1977 .

[22]  M A Crisfield,et al.  ITERATIVE SOLUTION PROCEDURES FOR LINEAR AND NON-LINEAR STRUCTURAL ANALYSIS , 1979 .

[23]  T. R. Graves Smith,et al.  A finite strip method for the post-locally-buckled analysis of plate structures , 1978 .

[24]  G J Hancock.  Non linear analysis of thin walled i sections in bending , 1983 .

[25]  David Shane Mofflin.  Plate buckling in steel and aluminium. , 1983 .

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