A semi-numerical algorithm for instability of compressible multilayered structures

Shan Tang*, Yang Yang, Xiang He Peng, Wing Kam Liu, Xiao Xu Huang, Khalil Elkhodary

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


A computational method is proposed for the analysis and prediction of instability (wrinkling or necking) of multilayered compressible plates and sheets made by metals or polymers under plane strain conditions. In previous works, a basic assumption (or a physical argument) that has been frequently made is that materials are incompressible to simplify mathematical derivations. To account for the compressibility of metals and polymers (the lower Poisson’s ratio leads to the more compressible material), we propose a combined semi-numerical algorithm and finite element method for instability analysis. Our proposed algorithm is herein verified by comparing its predictions with published results in literature for thin films with polymer/metal substrates and for polymer/metal systems. The new combined method is then used to predict the effects of compressibility on instability behaviors. Results suggest potential utility for compressibility in the design of multilayered structures.

Original languageEnglish (US)
Pages (from-to)63-75
Number of pages13
JournalComputational Mechanics
Issue number1
StatePublished - Jul 25 2015


  • Buckling
  • Finite element method
  • Instability
  • Multilayered structure
  • Necking

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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