Prismatic bifurcations of soft dielectric tubes

Eliana Bortot, Gal Shmuel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


Dielectric elastomer tubes are employed as actuators by radial electric stimulus. Their functionality is affected by electromechanical instabilities, whose study was mainly limited to the analysis of the free energy Hessian. In this paper, we identify a different class of instabilities—prismatic diffuse modes—by employing the linearized theory of superposed deformations on finitely strained deformable dielectrics. We develop the equations that determine the onset of such modes, and show through numerical examples that the tube may enter diffuse states before the Hessian criterion fails. Moreover, we find that loading paths that are stable according to the Hessian method, can bifurcate into diffuse modes.

Original languageEnglish
Pages (from-to)104-114
Number of pages11
JournalInternational Journal of Engineering Science
Early online date26 Dec 2017
Publication statusPublished - 1 Mar 2018


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