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Zeitschrift für angewandte Mathematik und Physik

, Volume 62, Issue 6, pp 1131–1142 | Cite as

Stability of anisotropic electroactive polymers with application to layered media

  • Stephan Rudykh
  • Gal deBotton
Article

Abstract

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.

Mathematics Subject Classification (2000)

74B20 74G60 74F15 78A30 37C20 

Keywords

Electroactive polymers Dielectric elastomers Finite deformations Anisotropy Non-linear electroelasticity 

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.The Pearlstone Center for Aeronautical Studies, Department of Mechanical EngineeringBen-Gurion UniversityBeer-ShevaIsrael
  2. 2.Department of Biomedical EngineeringBen-Gurion UniversityBeer-ShevaIsrael

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