000014600 001__ 14600
000014600 005__ 20161115100156.0
000014600 04107 $$aeng
000014600 046__ $$k2016-08-21
000014600 100__ $$aDallaston, Michael
000014600 24500 $$aAxisymmetric self-similar rupture of thin films with general disjoining pressure

000014600 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014600 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014600 506__ $$arestricted
000014600 520__ $$2eng$$aA thin film coating a dewetting substrate may be unstable to perturbations in the thickness, which leads to finite time rupture. The self-similar nature of the rupture has been studied by numerous authors for a particular form of the disjoining pressure, with exponent n = 3. In the present study we use a numerical continuation method to compute discrete solutions to self-similar rupture for a general disjoining pressure exponent n. Pairs of solution branches merge when n is close to unity, indicating that a more detailed examination of the dynamics of a thin film in this regime is warranted. We also numerically evaluate the power law behaviour of characteristic quantities of solutions in the limit of large branch number.

000014600 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014600 653__ $$a

000014600 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014600 720__ $$aDallaston, Michael
000014600 8560_ $$ffischerc@itam.cas.cz
000014600 8564_ $$s75430$$uhttps://invenio.itam.cas.cz/record/14600/files/TS.FM08-1.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1034, code TS.FM08-1.04
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000014600 962__ $$r13812
000014600 980__ $$aPAPER