Stability of anisotropic electroactive polymers with application to layered media

Stephan Rudykh, Gal deBotton

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


The stability of anisotropic electroactive polymers is investigated. A general criterion for the onset of instabilities under plane-strain conditions is introduced in terms of a sextic polynomial whose coefficients depend on the instantaneous electroelastic moduli. In a way of an example, the stable domains of layered neo-Hookean dielectrics are determined. It is found that depending on the direction of the electrostatic excitation field relative to the lamination direction, the critical stretch ratios at which instabilities may occur can be either larger or smaller than the ones for the purely mechanical case.

Original languageEnglish
Pages (from-to)1131-1142
Number of pages12
JournalZeitschrift fur Angewandte Mathematik und Physik
Issue number6
StatePublished - 1 Dec 2011


  • Anisotropy
  • Dielectric elastomers
  • Electroactive polymers
  • Finite deformations
  • Non-linear electroelasticity


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