Buckling and wrinkling of thin membranes by using a numerical solver based on multivariate Taylor series

H. Tian, M. Potier-Ferry*, F. Abed-Meraim

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Buckling and wrinkling of thin structures often lead to very complex response curves that are hard to follow by standard path-following techniques, especially for very thin membranes in a slack or nearly slack state. Many recent papers mention numerical difficulties encountered in the treatment of wrinkling problems, especially with path-following procedures and often these authors switch to pseudo-dynamic algorithms. Moreover, the numerical modeling of many wrinkles leads to very large size problems. In this paper, a new numerical procedure based on a double Taylor series is presented, that combines path-following techniques and discretization by a Trefftz method: Taylor series with respect to a load parameter (Asymptotic Numerical Method) and with respect to space variables (Taylor Meshless Method). The procedure is assessed on buckling benchmarks and on the difficult problem of a sheared rectangular membrane.
Original languageEnglish
JournalInternational Journal of Solids and Structures
DOIs
StateE-pub ahead of print - 1 Nov 2021

Keywords

  • Wrinkling
  • Buckling
  • Trefftz method
  • Asymptotic Numerical Method
  • Taylor meshless method

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