An analytical study of two-dimensional buckling of thin films on compliant substrates

J. Song, H. Jiang, W. M. Choi, D. Y. Khang, Y. Huang*, J. A. Rogers

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

107 Scopus citations


A stiff thin film on a heated compliant substrate may buckle when the system is cooled due to the thermal expansion mismatch between the film and substrate. Highly ordered and disordered herringbone patterns (wavy structures) then emerge as the system continues to cool. We have established an analytic approach to study one-dimensional, checkerboard, and ordered herringbone buckling patterns. The analytical approach gives the buckle wave length and amplitude in terms of the thin film and substrate elastic properties, thin film thickness, and the thermal strain. It is shown that the herringbone mode has the lowest energy, which explains why this mode is frequently observed in experiments. These classes of materials might be interesting as a route to high performance electronics with full, two-dimensional stretchability.

Original languageEnglish (US)
Article number014303
JournalJournal of Applied Physics
Issue number1
StatePublished - Jan 22 2008

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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