Postbuckling of Hyperelastic Plates

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

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Citations (Scopus)

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

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buckling
Buckling
deflection
curvature
Derivatives

Keywords

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

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Zhang, Chi ; Wu, Jian ; Hwang, Keh Chih ; Huang, Yonggang. / Postbuckling of Hyperelastic Plates. In: Journal of Applied Mechanics, Transactions ASME. 2016 ; Vol. 83, No. 5.
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Postbuckling of Hyperelastic Plates. / Zhang, Chi; Wu, Jian; Hwang, Keh Chih; Huang, Yonggang.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 83, No. 5, 051012, 01.05.2016.

Research output: Contribution to journalArticle

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