Buckling of thin plates and members - and early work on rectangular tubes

A brief examination of some of the research on the post-buckling elastic and plastic behaviour of plates and plate structures is outlined. This field is so wide ranging that only a very superficial examination of the early research has been carried out, and the writer has concentrated on some specific aspects of the general field of study. A very limited examination of some of the early research on rectangular cross-section tubes is also given.

[1]  John T. DeWolf,et al.  Local and Overall Buckling of Cold-Formed Members , 1974 .

[2]  J. M. Alexander.  AN APPROXIMATE ANALYSIS OF THE COLLAPSE OF THIN CYLINDRICAL SHELLS UNDER AXIAL LOADING , 1960 .

[3]  James Rhodes,et al.  Post-failure behaviour of box section beams under pure bending (an experimental study) , 2000 .

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[5]  Karl Marguerre,et al.  The apparent width of the plate in compression , 1937 .

[6]  Gregory J. Hancock,et al.  Plastic mechanism analysis of T-joints in RHS subject to combined bending and concentrated force , 1993 .

[7]  G. H. Bryan,et al.  On the Stability of a Plane Plate under Thrusts in its own Plane, with Applications to the “Buckling” of the Sides of a Ship , 1890 .

[8]  M A Crisfield,et al.  IVANOV'S YIELD CRITERION FOR THIN PLATES AND SHELLS USING FINITE ELEMENTS , 1979 .

[9]  M. Veljković,et al.  Steel plated structures , 2001 .

[10]  K. S. Sivakumaran,et al.  A finite element analysis model for the behaviour of cold-formed steel members , 1998 .

[11]  Paul H. Sanders,et al.  Applicability of Limit Design to Cold Formed Box Beams , 1978 .

[12]  M. Botman,et al.  The Effective Width in the Plastic Range of Flat Plates under Compression , 1954 .

[13]  J Rhodes,et al.  Behaviour of thin-walled structures , 1984 .

[14]  A. Andronicou,et al.  A plastic collapse mechanism for cylinders under uniaxial end compression , 1981 .

[15]  George J Heimerl.  Determination of Plate Compressive Strengths , 1947 .

[16]  Noel W. Murray,et al.  Introduction to the theory of thin-walled structures , 1984 .

[17]  D. J. Dawe,et al.  Spline FSM postbuckling analysis of shear-deformable rectangular laminates , 1999 .

[18]  Raphael Grzebieta,et al.  Plastic Mechanism Analysis Using Newly Derived Yield Line Theory , 1996 .

[19]  D. Y. Zheng,et al.  Analysis of deep beams and shear walls by finite strip method with C0 continuous displacement functions , 1998 .

[20]  James G.A. Croll,et al.  Interaction between local and overall buckling , 1975 .

[21]  P P Bijlaard,et al.  Interaction of Column and Local Buckling in Compression Members , 1952 .

[22]  Samuel Levy,et al.  Bending of Rectangular Plates With Large Deflections , 1942 .

[23]  Louis Schuman,et al.  Strength of Rectangular Flat Plates Under Edge Compression , 1931 .

[24]  Gregory J. Hancock,et al.  Experimental verification of the theory of plastic-moment capacity of an inclined yield line under axial force , 1992 .

[25]  Noboru Yamaki.  Postbuckling Behavior of Rectangular Plates With Small Initial Curvature Loaded in Edge Compression—(continued) , 1960 .

[26]  Raphael Grzebieta,et al.  Strength and ductility of concrete filled double skin square hollow sections , 2000 .

[27]  A. C. Walker.  The Post-Buckling Behaviour of Simply-Supported Square Plates , 1969 .

[28]  Kim J.R. Rasmussen,et al.  Recent developments in the buckling and nonlinear analysis of thin-walled structural members , 1990 .

[29]  Norman Jones,et al.  Dynamic and static axial crushing of axially stiffened cylindrical shells , 1990 .

[30]  Kim J. R. Rasmussen.  The Development of an Australian Standard for Stainless Steel Structures , 2000 .

[31]  G. Winter.  Strength of Thin Steel Compression Flanges , 1947 .

[32]  J Rhodes.  ON THE APPROXIMATE PREDICTION OF ELASTO-PLASTIC PLATE BEHAVIOUR. , 1981 .

[33]  Gregory J. Hancock,et al.  A theoretical analysis of the plastic-moment capacity of an inclined yield line under axial force , 1993 .

[34]  Eugene E. Lundquist,et al.  Effect of small deviations from flatness on effective width and buckling of plates in compression , 1946 .

[35]  E H Schuette.  Observations on the maximum average stress of flat plates buckled in edge compression , 1949 .

[36]  A C Walker,et al.  EXPLICIT SOLUTIONS FOR THE DESIGN OF INITIALLY DEFORMED PLATES SUBJECT TO COMPRESSION. , 1975 .

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

[38]  J Rhodes.  Microcomputer design analysis of plate post-buckling behaviour , 1986 .

[39]  Mahen Mahendran,et al.  Ultimate load behaviour of box-columns under combined loading of axial compression and torsion , 1990 .

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

[41]  Dušan Kecman,et al.  Bending collapse of rectangular and square section tubes , 1983 .

[42]  Ir. Harkali Setiyono.  Web crippling of cold-formed plain channel steel section beams , 1994 .

[43]  P P Bijlaard,et al.  COLUMN STRENGTH OF H-SECTIONS AND SQUARE TUBES IN POSTBUCKLING RANGE OF COMPONENT PLATES , 1953 .

[44]  Bernard Budiansky,et al.  Analysis of behavior of simply supported flat plates compressed beyond the buckling load into the plastic range , 1955 .

[45]  A. Pugsley.  THE LARGE-SCALE CRUMPLING OF THIN CYLINDRICAL COLUMNS , 1960 .

[46]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[47]  T. R. Smith,et al.  The effect of initial imperfections on the strength of thin-walled box columns , 1971 .

[48]  Thiam Huat Lim.  Some plasticity studies relating to thin-walled beams , 1995 .