Finite width effect of thin-films buckling on compliant substrate

Experimental and theoretical studies

Hanqing Jiang, Dahl-Young Khang, Huiyang Fei, Hoonsik Kim, Yonggang Huang, Jianliang Xiao, John A. Rogers

Research output: Contribution to journalArticle

87 Citations (Scopus)

Abstract

Buckling of stiff thin films on compliant substrates has many important applications ranging from stretchable electronics to precision metrology and sensors. Mechanics plays an indispensable role in the fundamental understanding of such systems. Some existing mechanics models assume plane-strain deformation, which do not agree with experimental observations for narrow thin films. Systematic experimental and analytical studies are presented in this paper for finite-width stiff thin films buckling on compliant substrates. Both experiments and analytical solution show that the buckling amplitude and wavelength increase with the film width. The analytical solution agrees very well with experiments and therefore provides valuable guide to the precise design and control of the buckling profile in many applications. The effect of film spacing is studied via the analytical solutions for two thin films and for periodic thin films.

Original languageEnglish
Pages (from-to)2585-2598
Number of pages14
JournalJournal of the Mechanics and Physics of Solids
Volume56
Issue number8
DOIs
Publication statusPublished - 2008 Aug 1

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buckling
Buckling
Thin films
Substrates
thin films
Mechanics
plane strain
metrology
Electronic equipment
Experiments
spacing
Wavelength
sensors
Sensors
profiles
electronics
wavelengths

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Jiang, Hanqing ; Khang, Dahl-Young ; Fei, Huiyang ; Kim, Hoonsik ; Huang, Yonggang ; Xiao, Jianliang ; Rogers, John A. / Finite width effect of thin-films buckling on compliant substrate : Experimental and theoretical studies. In: Journal of the Mechanics and Physics of Solids. 2008 ; Vol. 56, No. 8. pp. 2585-2598.
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Finite width effect of thin-films buckling on compliant substrate : Experimental and theoretical studies. / Jiang, Hanqing; Khang, Dahl-Young; Fei, Huiyang; Kim, Hoonsik; Huang, Yonggang; Xiao, Jianliang; Rogers, John A.

In: Journal of the Mechanics and Physics of Solids, Vol. 56, No. 8, 01.08.2008, p. 2585-2598.

Research output: Contribution to journalArticle

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