Computational Mechanics

, Volume 42, Issue 3, pp 441–445 | Cite as

Are linear prebuckling paths and linear stability problems mutually conditional?

  • Andreas Steinboeck
  • Herbert A. MangEmail author
Original Paper


Stability problems are termed linear if the tangent stiffness used for determining loss of stability has a specific, simple form. The term “linear prebuckling paths” refers to the shape of the load–displacement diagrams before loss of stability. In this note, it will be shown that these two terms are not mutually conditional.


Bifurcation Linear prebuckling path Linear stability problem Tangent stiffness matrix 


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  1. 1.
    Bathe KJ (1996) Finite element procedures in engineering analysis. Prentice Hall, LondonGoogle Scholar
  2. 2.
    Bažant ZP, Cedolin L (1991) Stability of structures, elastic, inelastic, fracture, and damage theories. Dover, MineolaGoogle Scholar
  3. 3.
    Belytschko T, Liu WK, Moran B (2000) Nonlinear finite elements for continua and structures. Wiley, ChichesterzbMATHGoogle Scholar
  4. 4.
    Felippa CA (2007) Nonlinear finite element methods. Lecture notes, University of Colorado, Department of Aerospace Engineering Sciences. Retrieved August 29, 2007, web site:
  5. 5.
    Wriggers P (2001) Nichtlineare Finite-Elemente-Methoden (German, Nonlinear finite element methods). Springer, BerlinGoogle Scholar
  6. 6.
    Zienkiewicz OC, Taylor RL (2000) The finite element method, vol2. Solid mechanics. Butterworth-Heinemann, OxfordGoogle Scholar

Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Automation and Control Institute, Complex Dynamical Systems GroupVienna University of TechnologyViennaAustria
  2. 2.Institute for Mechanics of Materials and StructuresVienna University of TechnologyViennaAustria

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