Deformation modes for the post-critical analysis of thin-walled compressed members by a Koiter semi-analytic approach

Giovanni Garcea, Leonardo Leonetti, Domenico Magisano, Rodrigo Gonçalves, Dinar Camotim

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

In this paper a semi-analytic solution for the post-critical behavior of compressed thin walled members with generic cross sections is presented. It is based on the Koiter approach and the method of separation of variables. The buckling solution is exactly evaluated using a single sinusoidal function and the initial post-critical behavior is obtained as a decoupled sinusoidal series solution along the beam axis. A specialized integration scheme allows obtaining the solution with only a few terms and a very low cost, with respect to standard finite element analyses. This tool is then used to highlight the reason of the poor behavior of beam models enriched with cross section deformation modes in reconstructing the post-critical solution. Successful strategies are proposed in order to overcome these limitations. A series of numerical tests are reported.

Original languageEnglish
Pages (from-to)367-384
Number of pages18
JournalInternational Journal of Solids and Structures
Volume110-111
DOIs
Publication statusPublished - 1 Apr 2017

Keywords

  • Cross-section deformation modes
  • Koiter post-critical analysis
  • Semi-analytic solutions
  • Thin-walled members

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