Critical initial imperfection of structures

Ikeda Kiyohiro, Murota Kazuo

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

Abstract

A method is introduced for determining the critical initial imperfection of discretized structures that decreases the load-bearing capacity most rapidly. The effects of imperfections on simple critical points, such as limit points of loads and simple bifurcation points, are theoretically investigated based on the idea of the Lyapunov-Schmidt decomposition developed in bifurcation theory. Imperfection sensitivity varies with the types of points. Nonetheless critical imperfection pattern is expressed in the same formula regardless of the types. Among various imperfections, the most influential can be found in a quantitative manner. The validity and the usability of the proposed method are illustrated through its application to simple example structures.

Original languageEnglish
Pages (from-to)865-886
Number of pages22
JournalInternational Journal of Solids and Structures
Volume26
Issue number8
DOIs
Publication statusPublished - 1990
Externally publishedYes

ASJC Scopus subject areas

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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