Debonding waves in gel thin films-Reference-Cited by-同舟云学术

Debonding waves in gel thin films

Published:2020-09 Issue:2241 Volume:476 Page:20200001
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Xu Xianmin¹,Carme Calderer M.²^ORCID,Doi Masao³,Henao Duvan⁴

Affiliation:

1. LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China

2. School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA

3. Center of Soft Matter Physics and its Applications, Beihang University, 37 Xueyuan Road, Beijing 100191, People’s Republic of China

4. Faculty of Mathematics, Pontificia Universidad Católica de Chile, Vicuña Mackenna 4860, Santiago, Chile

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.

Funder

National Key R&D Program of China

National Natural Science Foundation of China

National Science Foundation

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2020.0001

Reference25 articles.

1. Properties of earthquakes generated by fault dynamics

2. Sliding friction of rubber

3. Effect of roughness on rubber friction when waves of detachment are present