Key considerations in tracing the postbuckling response of structures with multi winding loops

Y. B. Yang*, L. J. Leu, Judy Ping Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

The postbuckling response of structures with multi winding loops is characterized by the appearance of multi adjacent equilibrium paths, which often makes the iterations difficult to converge to the desired path. In this paper, some key issues for tracing the postbuckling response of a structure using an incremental-iterative approach are discussed. Concerning the finite element equations used, it is essential that the corrector used for recovering the element forces from the element displacements be made as accurate as possible, and that the predictor for computing the structural displacements under given load increments, which are approximate by nature due to linearization involved, be accurate to the level not to misguide the iterations. As for the incremental-iterative scheme, it is required to be: (1) numerically stable when encountering the limit points, (2) adjustable in load increments to reflect the stiffness variation, and (3) self-adaptive in changing the loading direction. To demonstrate the ideas involved, some examples with highly complicated postbuckling responses will be solved in this paper.

Original languageEnglish
Pages (from-to)175-189
Number of pages15
JournalMechanics of Advanced Materials and Structures
Volume14
Issue number3
DOIs
StatePublished - 1 Mar 2007

Keywords

  • Corrector
  • Geometric nonlinearity
  • Incremental-iterative approach
  • Large strain
  • Limit point
  • Postbuckling
  • Predictor
  • Snap-back point
  • Updated Lagrangian formulation

Fingerprint Dive into the research topics of 'Key considerations in tracing the postbuckling response of structures with multi winding loops'. Together they form a unique fingerprint.

Cite this