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Instabilites et Singularites : des films minces aux plaques elastiques

Abstract : This thesis deals with instabilities and singularities in thin systems.

We first consider thin elastic objects. To begin with, we study, throught laboratory experiences, the deformations of an elastic gel bilayer which is confined. The growth of the above layer produces periodic patterns; the free surface then presents a regular network of singularities. A simple model enables us to reproduce both qualitative and quantitative properties of our observations. We also study statiscal properties of ridges in a crumpled sheet. We propose and treat numerically a simple model, thus showing the importance of geometrical interactions.

The second part is devoted to the stability analysis of a thin volatile film. We build a general model within we can predict a threshold above which evaporation of an initially flat film becomes unstable. Eventually, in the diffusion of the vapour limited regime, we study analytically the nature of the bifurcation.
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Contributor : Eric Sultan <>
Submitted on : Wednesday, December 21, 2005 - 11:43:27 AM
Last modification on : Thursday, December 10, 2020 - 12:37:23 PM
Long-term archiving on: : Saturday, April 3, 2010 - 7:44:22 PM


  • HAL Id : tel-00011249, version 1


Eric Sultan. Instabilites et Singularites : des films minces aux plaques elastiques. Analyse de données, Statistiques et Probabilités []. Université Pierre et Marie Curie - Paris VI, 2005. Français. ⟨tel-00011249⟩



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