A simply analytic study of buckled thin films on compliant substrates

Huanyu Cheng, Jizhou Song

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


Buckling of stiff thin films on compliant substrates enables many new applications, such as stretchable electronics. Song et al. [2008, "Buckling of a Stiff Thin Film on a Compliant Substrate in Large Deformation," Int. J. Solids Struct., 45(10), pp. 3107-3121] developed a finite deformation theory to explain the buckled amplitude and wavelength very well. This theory not only accounts for finite geometry change, but also the finite strain and a nonlinear constitutive model for the substrate. To provide a better physical insight, this paper investigates those three effects, and shows that finite geometry change dominates in the finite deformation theory and the simplified analysis leads to results that agree well with experiments and the finite element method.

Original languageEnglish (US)
Article number024501
JournalJournal of Applied Mechanics, Transactions ASME
Issue number2
StatePublished - 2014


  • Buckling analysis
  • Finite geometry change
  • Prestrain strategy

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics


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