Thin-Walled Member Plastic Bifurcation Analysis Using Generalised Beam Theory

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Abstract

This paper presents the formulation and illustrates the application of a non-linear Generalised Beam Theory (GBT), which makes it possible to calculate bifurcation load factors of thin-walled members made of non-linear elastic-plastic materials and subjected to general loading conditions. This formulation is an extension of the non-linear GBT recently derived by the authors, which was valid for uniformly compressed members only. In order to illustrate the application of the proposed non-linear GBT, a beam finite element is formulated and some numerical results are presented and discussed. These results concern rectangular plates and thin-walled hat-section beams. The material instantaneous elastic moduli are determined on the basis of both the well known J2-flow and J2-deformation small strain plasticity theories.
Original languageEnglish
Pages (from-to)637-646
Number of pages10
JournalAdvances in Engineering Software
Volume38
Issue number8-9
DOIs
Publication statusPublished - 1 Jan 2007

Keywords

  • Non-linear elastic-plastic members
  • Thin-walled members
  • Distortional modes
  • Generalized beam theory (GBT)
  • Global modes
  • Local-plate modes
  • Plastic buckling

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