Fu, YB, Xie, YX and Liu, JC (2015) Bifurcation of a dielectric elastomer balloon under pressurized inflation and electricactuation. Interntional Journal of Solids and Structures, 78-79. pp. 182-188. ISSN 0020-7683

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It is previously known that under inflation alone a spherical rubber membrane balloon may bifurcate into a pear shape when the tension in the membrane reaches a maximum, but the existence of such a maximum depends on the material model used: the maximum exists for the Ogden model, but does not exist for the neo-Hookean, Mooney–Rivlin or Gent model. This paper discusses how such a situation is changed when a pressurized dielectric elastomer balloon is subjected to additional electric actuation. A similar bifurcation condition is first deduced and then verified numerically by computing the bifurcated solutions explicitly. It is shown that when the material is an ideal dielectric elastomer, bifurcation into a pear shape is possible for all material models, and similar results are obtained when a typical non-ideal dielectric elastomer is considered. It is further shown that whenever a pear-shaped configuration is possible it has lower total energy than the co-existing spherical configuration.

Item Type: Article
Uncontrolled Keywords: Dielectric elastomer, Bifurcation, Instability, Spherical balloons, Nonlinear elasticity
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 03 Dec 2015 15:14
Last Modified: 23 Apr 2019 11:09
URI: https://eprints.keele.ac.uk/id/eprint/1271

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