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*

*Corresponding author for this work

Research output: Contribution to journalArticle

11 Citations (Scopus)

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 - Jan 1 2016

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Wrinkling
wrinkling
Thin Films
Substrate
Thin films
Substrates
thin films
stiffness
Stiffness
Analytical Model
Analytical models
Analytical Solution
Finite Element
Finite element method

Keywords

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

ASJC Scopus subject areas

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

Cite this

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title = "Wrinkling of a stif thin film bonded to a pre-strained, compliant substrate with finite thickness",
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.",
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author = "Yinji Ma and Yeguang Xue and Jang, {Kyung In} and Xue Feng and Rogers, {John A.} and Yonggang Huang",
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Wrinkling of a stif thin film bonded to a pre-strained, compliant substrate with finite thickness. / Ma, Yinji; Xue, Yeguang; Jang, Kyung In; Feng, Xue; Rogers, John A.; Huang, Yonggang.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 472, No. 2192, 20160339, 01.01.2016.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Wrinkling of a stif thin film bonded to a pre-strained, compliant substrate with finite thickness

AU - Ma, Yinji

AU - Xue, Yeguang

AU - Jang, Kyung In

AU - Feng, Xue

AU - Rogers, John A.

AU - Huang, Yonggang

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N2 - 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.

AB - 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.

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