Effects of In-plane Elastic Stress and Normal External Stress on Viscoelastic Thin Film Stability

F. Closa; F. Ziebert; E. Raphaël

Mathematical Modelling of Natural Phenomena (2012)

  • Volume: 7, Issue: 4, page 6-19
  • ISSN: 0973-5348

Abstract

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Motivated by recent experiments on the electro-hydrodynamic instability of spin-cast polymer films, we study the undulation instability of a thin viscoelastic polymer film under in-plane stress and in the presence of either a close by contactor or an electric field, both inducing a normal stress on the film surface. We find that the in-plane stress affects both the typical timescale of the instability and the unstable wavelengths. The film stability is also sensitive to the boundary conditions used at the film-substrate interface. We have considered two conditions, either rigidly attaching the film to the substrate or allowing for slip.

How to cite

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Closa, F., Ziebert, F., and Raphaël, E.. "Effects of In-plane Elastic Stress and Normal External Stress on Viscoelastic Thin Film Stability." Mathematical Modelling of Natural Phenomena 7.4 (2012): 6-19. <http://eudml.org/doc/222257>.

@article{Closa2012,
abstract = {Motivated by recent experiments on the electro-hydrodynamic instability of spin-cast polymer films, we study the undulation instability of a thin viscoelastic polymer film under in-plane stress and in the presence of either a close by contactor or an electric field, both inducing a normal stress on the film surface. We find that the in-plane stress affects both the typical timescale of the instability and the unstable wavelengths. The film stability is also sensitive to the boundary conditions used at the film-substrate interface. We have considered two conditions, either rigidly attaching the film to the substrate or allowing for slip.},
author = {Closa, F., Ziebert, F., Raphaël, E.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {thin films; polymers; instability; mechanics; (visco)elasticity; internal; residual stress},
language = {eng},
month = {7},
number = {4},
pages = {6-19},
publisher = {EDP Sciences},
title = {Effects of In-plane Elastic Stress and Normal External Stress on Viscoelastic Thin Film Stability},
url = {http://eudml.org/doc/222257},
volume = {7},
year = {2012},
}

TY - JOUR
AU - Closa, F.
AU - Ziebert, F.
AU - Raphaël, E.
TI - Effects of In-plane Elastic Stress and Normal External Stress on Viscoelastic Thin Film Stability
JO - Mathematical Modelling of Natural Phenomena
DA - 2012/7//
PB - EDP Sciences
VL - 7
IS - 4
SP - 6
EP - 19
AB - Motivated by recent experiments on the electro-hydrodynamic instability of spin-cast polymer films, we study the undulation instability of a thin viscoelastic polymer film under in-plane stress and in the presence of either a close by contactor or an electric field, both inducing a normal stress on the film surface. We find that the in-plane stress affects both the typical timescale of the instability and the unstable wavelengths. The film stability is also sensitive to the boundary conditions used at the film-substrate interface. We have considered two conditions, either rigidly attaching the film to the substrate or allowing for slip.
LA - eng
KW - thin films; polymers; instability; mechanics; (visco)elasticity; internal; residual stress
UR - http://eudml.org/doc/222257
ER -

References

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  29. Note that Yc, Kc and Kfg are determined by elasticity, the viscosity does not play a role. However, Kfg can exist only if η ≠ 0, else, the problem is a static problem and Kfg is not defined.  

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