Postbuckling of Hyperelastic Plates

Chi Zhang, Jian Wu*, Keh Chih Hwang, Yonggang Huang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Curvature is simply expressed as the second derivative of the plate deflection in prior studies of post-buckling of plates. It is shown in this paper that the higher-order terms in curvature should be retained, consistent with Koiter's post-buckling theory. This paper also solves the dilemma whether the increase of post-buckling load is proportional to the square of the ratio of the post-buckling deflection w to the plate thickness t, (w/t)2, as in most prior studies, or to the characteristic in-plane length L of the plate, (w/L)2, as discovered in some recent studies.

Original languageEnglish (US)
Article number051012
JournalJournal of Applied Mechanics, Transactions ASME
Volume83
Issue number5
DOIs
StatePublished - May 1 2016

Keywords

  • Post-buckling
  • developable surface
  • higher-order terms
  • perturbation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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