Wrinkling of a stif thin film bonded to a pre-strained, compliant substrate with finite thickness

Yinji Ma, Yeguang Xue, Kyung In Jang, Xue Feng, John A. Rogers, Yonggang Huang

Research output: Contribution to journalArticle

Abstract

A stiff thin film bonded to a pre-strained, compliant substrate wrinkles into a sinusoidal form upon release of the pre-strain. Many analytical models developed for the critical pre-strain for wrinkling assume that the substrate is semi-infinite. This critical pre-strain is actually much smaller than that for a substrate with finite thickness (Ma Y et al. 2016 Adv. Funct. Mater. (doi:10.1002/adfm.201600713)). An analytical solution of the critical pre-strain for a system of a stiff film bonded to a pre-strained, finite-thickness, compliant substrate is obtained, and it agrees well with the finite-element analysis. The finite-thickness effect is significant when the substrate tensile stiffness cannot overwhelm the film tensile stiffness.

Original languageEnglish (US)
Article number20160339
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume472
Issue number2192
DOIs
StatePublished - 2016

Keywords

  • Compliant substrate
  • Finite thickness
  • Pre-strain
  • Stiff thin film
  • Wrinkles

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Wrinkling of a stif thin film bonded to a pre-strained, compliant substrate with finite thickness'. Together they form a unique fingerprint.

  • Cite this