Rapid analysis of plate collapse by live-energy minimisation

Little, G.H.

doi:10.1016/0020-7403(77)90058-3

Cited by 46 publications

(4 citation statements)

References 7 publications

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“…Mofflin (1983) and Mofflin and Dwight (1984) adopted Little's (1977) energy formulation in a nonlinear finite strip analysis incorporating plasticity to study the behaviour of steel or __,. aluminium plates and plate assemblies under axial compression.…”

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confidence: 99%

“…Key and Hancock (1993) extended Mofflin method by using the Newton-Raphson procedure rather than the live energy method described by Little (1977) to study the nonlinear behaviour and ultimate load capacity of plates and plate assemblies subjected to axial compression and bending. The analysis included the effects of plate geometric imperfections, the variation of yield stress around a section, the stress-strain characteristics of the material forming the section and the residual stress to study the nonlinear local buckling behaviour of square hollow section columns.…”

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Behaviour and Design of Cold-Formed Channel Columns

Young

Rasmussen

1999

Advances in Steel Structures (ICASS '99)

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Australia 1997 SYNOPSISThe behaviour of fixed-ended and pin-ended singly symmetric columns is investigated experimentally and theoretically in this thesis. It is shown that local buckling does not induce overall bending of fixed-ended singly symmetric columns, as it does of pin-ended singly symmetric columns. Consequently, local buckling has a fundamentally different effect on the behaviour of fixed-ended and pin-ended singly symmetric columns. These fundamentally different effects of local buckling lead to inconsistencies in traditional design approaches which account for support conditions solely by using effe.ctive lengths. Therefore, improved design recommendations for fixed-ended singly symmetric columns are proposed in this thesis.An experimental investigation on cold-formed channel columns compressed between fixed and pinned ends is presented in this thesis! A series of tests was performed on plain and lipped / channels brake-pressed from high strength structural steel sheets. Four different cross-section geometries were tested over a range of lengths which involved pure local buckling, distortional buckling as well as overall flexural buckling and flexural-torsional buckling. The different effects of local buckling on the behaviour of fixed-ended and pin-ended channels were investigated by comparing strengths, load-shortening and load-deflection curves, as well as longitudinal profiles of buckling deformations. Geometric imperfections were measured on nearly all test specimens oefore testing as well as the material properties and residual stresses were also measured. The experimental local buckling loads of the fixed-ended tests were determined and shown to be in excellent agreement with the theoretical local buckling loads obtained using an elastic finite strip buckling analysis .. A test rig was developed for the test program, such that detailed deformation profiles of the test specimens were succ~ssfully obtained during testing. Fixed-ended bearings were used which allowed measurements of the axial load and the bending moments about two perpendicular axes.A theory is described for the bifurcation analysis of locally buckled members by deriving the governing equations for the fundamental and bifurcated states. The analysis uses elastic and inelastic geometric nonlinear finite strip buckling analyses to determine the tangent rigidities of ,.,... the locally buckled section The tangent rigidities are substituted into the equations for overall flexural and flexural-torsional buckling to obtain the bifurcation loads. The effect of yield~g is highlighted through a parametric study. The members are subject to pure compression and assumed to be geometrically perfect in the overall sense. It is shown using the fundamental state equations that fixed-ended singly symmetric columns exhibit overall bifurcation behaviour while pin-ended columns do not. The overall bifurcation loads obtained from the analysis are compared with tests of fixed-ended channel columns. The variation of the bifurcation loads with the leng...

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Behaviour and Design of Cold-Formed Channel Columns

Young

Rasmussen

1999

Advances in Steel Structures (ICASS '99)

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“…In fact, the reduction of computational cost has been a challenging subject in various engineering fields. For buckling analysis, for example, the work of Little is noted [7].…”

Section: Introductionmentioning

confidence: 99%

Practical Finite Element Procedure for Achieving Mesh Objectivity in Local Buckling Analysis of Steel Structures by Beam Elements

Yamaguchi

2009

Volume 5 Number 3

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Since the nonlinear finite element analysis of a steel structure by shell/solid elements is expensive, effort has been made to conduct the local buckling analysis of a steel structure by beam elements. To this end, the structural deterioration due to local buckling of a steel member is implemented in constitutive relationship. The approach inevitably leads to the constitutive relationship of softening type, which however does not readily yield mesh objective result. The present study proposes a finite element procedure to overcome the problem: in a local-buckling zone, average state variables instead of local state variables are used. The effectiveness of the proposed procedure is verified by solving example problems. Moreover, the applicability of a simple trilinear type of constitutive relationship associated with the proposed beam-element analysis is investigated in comparison with shell-element analysis by ABAQUS.

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“…Williams and Walker (1975) used the perturbation method to investigate the post-buckling behavior of biaxially loaded plates incorporating geometric imperfections and residual stresses. Little (1977) presented an energy method for the collapse analysis of steel plates with geometric imperfections under in-plane biaxial compression. Nonlinear finite element analysis was utilized by Valsgard (1980) to predict the biaxial strength of steel plates in ship structures.…”

Section: Introductionmentioning

confidence: 99%

Local Buckling of Steel Plates in Double Skin Composite Panels under Biaxial Compression and Shear

Liang

Wright

et al. 2004

J. Struct. Eng.

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Steel plates in double skin composite (DSC) panels are restrained by a concrete core and welded stud shear connectors at discrete positions. Local buckling of steel plates in DSC panels may occur in a unilateral mode between stud shear connectors when subjected to combined states of stresses. This paper studies the local and post-local buckling strength of steel plates in DSC panels under biaxial compression and in-plane shear by using the finite element method. Critical local buckling interaction relationships are presented for steel plates with various boundary conditions that include the shear stiffness effects of stud shear connectors. A geometric and material nonlinear analysis is employed to investigate the postlocal buckling interaction strength of steel plates in biaxial compression and shear. The initial imperfections of steel plates, material yielding and the nonlinear shear-slip behavior of stud shear connectors are considered in the nonlinear analysis. Design models for critical buckling and ultimate strength interactions are proposed for determining the maximum stud spacing and ultimate strength of steel plates in DSC panels.

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Rapid analysis of plate collapse by live-energy minimisation

Cited by 46 publications

References 7 publications

Behaviour and Design of Cold-Formed Channel Columns

Behaviour and Design of Cold-Formed Channel Columns

Practical Finite Element Procedure for Achieving Mesh Objectivity in Local Buckling Analysis of Steel Structures by Beam Elements

Local Buckling of Steel Plates in Double Skin Composite Panels under Biaxial Compression and Shear

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