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Luis Dorfmann1, Ray W Ogden2

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Summary

This study analyzes instabilities in dielectric elastomer transducers, comparing analytical approaches for thin plates and tubes. It provides insights into material and geometric instabilities crucial for device design.

Keywords:
dielectric elastomerselectroelastic instabilitiesnonlinear electroelasticity

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Area of Science:

  • Continuum Mechanics
  • Nonlinear Electroelasticity
  • Materials Science

Background:

  • Dielectric elastomer transducers are vital for actuators and sensors.
  • Material and geometric instabilities are critical for device performance.
  • Nonlinear electroelasticity theory governs dielectric elastomer behavior.

Purpose of the Study:

  • To detail instabilities in electroelastic transducer geometries.
  • To analyze instabilities using nonlinear electroelasticity theory.
  • To compare analytical methods for instability prediction.

Main Methods:

  • Application of nonlinear electroelasticity theory.
  • Analysis of thin electroelastic plates with flexible electrodes.
  • Investigation of axi-symmetric bifurcation in thin-walled electroelastic tubes.
  • Numerical simulations using Gent and neo-Hookean electroelastic models.

Main Results:

  • Identified specific instabilities in plate and tube configurations.
  • Compared Hessian approach with incremental bifurcation analysis for plates.
  • Presented numerical results for neo-Hookean and Gent models.

Conclusions:

  • The study provides a theoretical framework for analyzing instabilities in electroelastic devices.
  • Findings are crucial for designing reliable and efficient dielectric elastomer transducers.
  • This work contributes to understanding material behavior under electroelastic loading.