Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

Analytical Stability Considerations in Lightweight Design

Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_7-1



Lightweight structures are thin walled and/or slender; hence, they are prone to the occurrence of structural instabilities under various loading conditions. In this chapter analytical equations for estimating the critical loads of some important structures, such as beams, plates, and cylindrical shells, are presented. All equations discussed are based on a static stability criterion and limited to linear elastic material behavior.

Stability Criteria and Post-buckling Behavior

Depending on the stiffness of the structure and the loading conditions, different forms for the loss of structural stability can be observed involving bifurcation of equilibria, snap-through, snapback, and flutter instabilities. Reaching the plastic limit load can also be considered as an occurrence of a structural instability but is not further discussed within this chapter.

Bifurcation of equilibrium is...
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Authors and Affiliations

  1. 1.Institute of Lightweight Design and Structural BiomechanicsTU WienViennaAustria

Section editors and affiliations

  • Franz G. Rammerstorfer
    • 1
  • Melanie Todt
    • 2
  • Isabella C. Skrna-Jakl
    • 3
  1. 1.Institut für Leichtbau und Struktur-BiomechanikTU WienWienAustria
  2. 2.Institut für Leichtbau und Struktur-BiomechanikTU WienWienAustria
  3. 3.Institut für Leichtbau und Struktur-BiomechanikTU WienWienAustria