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