Large electroelastic deformation of a dielectric elastomer annulus

Eunice E. Yang, Mary I. Frecker, Eric M. Mockensturm

Research output: Contribution to journalConference articlepeer-review

7 Scopus citations

Abstract

A large quasi-static deformation analysis of a thin annulus made of dielectric elastomer is presented in this paper. The material is assumed to be perfectly elastic, isotropic, and incompressible. An electric field is applied through the thickness of the annulus. The outer periphery of the annulus is held fixed, while the inner periphery is free to move. The radial stress and strain distributions are determined using two non-linear differential equations obtained from equilibrium, stress-strain and geometric relations. Mooney's (1940) form of the strain energy function is used for the analysis. The non-linear differential equations are solved for the principal extension ratios, λ1 and λ2, using Matlab's two-point boundary value function BVP4C. The radial and circumferential stresses are calculated using the derived solutions. The results of the mathematical model showed that for increasing effective (squeeze) pressure, the radial and circumferential stresses transitions from tensile to compressive states at a "critical" effective (squeeze) pressure. Also, for the annulus with non-zero hole pressure, there exists an operating range for both the hole pressure and effective (squeeze) pressure at which the model is mathematically as well as physically viable.

Original languageEnglish (US)
Pages (from-to)453-460
Number of pages8
JournalAmerican Society of Mechanical Engineers, Aerospace Division (Publication) AD
Volume68
DOIs
StatePublished - Jan 1 2003
Event2003 ASME International Mechanical Engineering Congress - Washington, DC., United States
Duration: Nov 15 2003Nov 21 2003

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Space and Planetary Science

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