Fracture-induced formation of semi-concentric patterns on polymeric films

Pei Yu Liang, Fuqian Yang, Sanboh Lee

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Using the linear perturbation method, the effect of radial residual-compressive surface stress on the surface evolution of a solid film was analyzed. The result showed that the radial-compressive surface stress can cause the formation of concentric surface waviness on the surface of the film. An analytical relationship was established between the apparent surface stress, the spatial wavelength, and the film thickness. Using a concentrated-loading method, a complementary set of semi-concentric surface ripples was formed on the fracture surfaces of a polymer film which was sandwiched between two glass slides. The amplitude of the semi-concentric ripples first increased with increasing the film thickness and then became independent of the film thickness for the film thickness ranging from 491 nm to 636 nm. Using the derived relationship and the experimental data, the variation of the apparent surface stress with the film thickness was calculated. The magnitude of the apparent surface stress increased with increasing the film thickness.

Original languageEnglish
Pages (from-to)168-173
Number of pages6
JournalMaterials Chemistry and Physics
Issue number1
StatePublished - Jul 16 2012

Bibliographical note

Funding Information:
F.Y. and S.L. are grateful for financial support from NSF grant CMS-0508989 and the National Science Council , Taiwan, respectively.


  • Compressive surface stress
  • Linear elasticity
  • Polymeric film
  • Semi-concentric ripples

ASJC Scopus subject areas

  • Materials Science (all)
  • Condensed Matter Physics


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