Multiple equilibria for unlinked and weakly-linked cellular structural forms

Ikeda Kiyohiro, Paulo Providência, Giles W. Hunt

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

It is demonstrated that a structural form comprising n unlinked or weakly-linked separate identical cells can, by its nature, suffer an explosion of unstable post-buckling states, associated with an n-fold compound critical point. Examples of rigid-link models, and atomic matrix cellular models employing a Lennard-Jones potential, are included. Attention is paid to criteria for the appearance of homogeneous, localized but distributed, and thoroughly-localized solutions. For the atomic models, generalized coordinates that exploit local and global symmetries of unlinked cells are introduced in a block diagonalization context, to clarify the bifurcation structure. A discretized Lagrangian formulation is introduced to untangle the paths for weakly-linked cells.

Original languageEnglish
Pages (from-to)371-384
Number of pages14
JournalInternational Journal of Solids and Structures
Volume30
Issue number3
DOIs
Publication statusPublished - 1993
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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