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 language | English (US) |
---|---|
Article number | 20200001 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 476 |
Issue number | 2241 |
DOIs | |
State | Published - Sep 1 2020 |
Bibliographical note
Publisher Copyright:© 2020 The Author(s).
Keywords
- Schallamach wave
- calculus of variations
- debonding
- gels
- minimum dissipation