Calculus of Variations and Geometric Measure Theory
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D. Bourne - S. Conti - S. Müller

Folding patterns in partially delaminated thin films

created by bourne on 22 Dec 2015
modified on 14 Jun 2017

[BibTeX]

Published Paper

Inserted: 22 dec 2015
Last Updated: 14 jun 2017

Journal: Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems, A. Pandolfi and K. Weinberg (eds.), Springer
Volume: 81
Pages: 25-39
Year: 2016
Doi: 10.1007/978-3-319-39022-2_2
Links: Springer link

Abstract:

Michael Ortiz and Gustavo Gioia showed in the 90s that the complex patterns arising in compressed elastic films can be analyzed within the context of the calculus of variations. Their initial work focused on films partially debonded from the substrate, subject to isotropic compression arising from the difference in thermal expansion coefficients between film and substrate. In the following two decades different geometries have been studied, as for example anisotropic compression. We review recent mathematical progress in this area, focusing on the rich phase diagram of partially debonded films with a lateral boundary condition.


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