Computational Stability Theory — Its Strategy

  • F. Fujii
  • S. Okazawa
  • S.-X. Gong


The general stability theory developed by Koiter [1], Thompson/Hunt [2] well applies in the theoretical buckling analysis. The mathematical stability theory seems however not always feasible in computational practice. More specifically, use of the higher-order derivatives of the equilibrium equations, for example, is not realistic in existing finite element codes. The computational stability theory will challenge to stability problems from the more practical and computational viewpoint. The present paper describes the fundamental strategies, path-tracing, pinpointing and path-switching [3,4,5,6,7,8,9], in the computational stability theory.


Bifurcation Point Line Search Stability Point Equilibrium Path Primary Path 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • F. Fujii
    • 1
  • S. Okazawa
    • 2
  • S.-X. Gong
    • 3
  1. 1.Gifu UniversityGifuJapan
  2. 2.Nagoya UniversityNagoyaJapan
  3. 3.University of ReginaSaskatchewanCanada

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