Explicit phase diagram for a one-dimensional blister model
Mathematical Physics
2014-02-18 v1 math.MP
Abstract
In this article, we consider a simple one-dimensional variational model, describing the delamination of thin films under cooling. We characterize the global minimizers, which correspond to films of three possible types: non delaminated, partially delaminated (called blisters), or fully delaminated. Two parameters play an important role: the length of the film and the cooling parameter. In the phase plane of those two parameters, we classify all the minimizers. As a consequence of our analysis, we identify explicitly the smallest possible blisters for this model.
Cite
@article{arxiv.1402.3831,
title = {Explicit phase diagram for a one-dimensional blister model},
author = {Ghada Chmaycem and Mustapha Jazar and Régis Monneau},
journal= {arXiv preprint arXiv:1402.3831},
year = {2014}
}