Debonding waves in gel thin films: Debonding waves

Xianmin Xu, M. Carme Calderer, Masao Doi, Duvan Henao

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We develop a mathematical model for the sliding of a gel sheet adhered to a moving substrate. The sliding takes place by the motion of detached region between the gel sheet and the substrates, i.e. the propagation of a Schallamach wave. Efficient numerical methods are developed to solve the problem. Numerical examples illustrate that the model can describe the Schallamach wave and are consistent with the existing experiments qualitatively.

Original languageEnglish (US)
Article number20200001
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume476
Issue number2241
DOIs
StatePublished - Sep 1 2020

Bibliographical note

Publisher Copyright:
© 2020 The Author(s).

Keywords

  • Schallamach wave
  • calculus of variations
  • debonding
  • gels
  • minimum dissipation

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