Postbuckling analysis of imperfect non-linear viscoelastic cylindrical panels

Gabriel Cederbaum, David Touati

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

The postbuckling behavior of imperfect cylindrical panels made of a non-linear viscoelastic material is investigated. The material is modeled according to the Schapery representation of non-linear viscoelasticity. Solutions are developed to calculate the growth of the initial imperfection in time by using the Donnell equilibrium equations for geometrically non-linear cylindrical panels. The equations are derived symbolically using Mathematica in the form of a system of first-order non-linear differential equations. A numerical example is presented and discussed.

Original languageEnglish
Pages (from-to)757-762
Number of pages6
JournalInternational Journal of Non-Linear Mechanics
Volume37
Issue number4-5
DOIs
StatePublished - 1 Jun 2002

Keywords

  • Cylindrical panel
  • Non-linear viscoelasticity
  • Postbuckling
  • The Schapery model

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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