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Modeling and Simulation of Viscous Electro-Active Polymers.

Franziska Vogel1, Serdar Göktepe2, Paul Steinmann1

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This study introduces a new model for electro-active polymers (EAPs) that accounts for electric field effects on their complex viscoelastic behavior. The model accurately predicts how electric fields influence material responses in EAP devices.

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Electroactive materialsElectroelasticityElectrostaticsFinite ViscoelasticityFinite-Element Method

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Polymer Science

Background:

  • Electro-active polymers (EAPs) deform under electric fields, with electronic EAPs utilizing Coulomb forces or polar group reorientation.
  • Many electronic EAPs exhibit significant viscoelastic properties, complicating their mechanical response.
  • Understanding and modeling these viscoelastic behaviors under electric fields is crucial for EAP applications.

Purpose of the Study:

  • To develop and implement a constitutive model for electronic EAPs.
  • To capture the influence of electric fields on the viscoelastic response within a nonlinear finite element framework.
  • To investigate the impact of electro-viscous coupling on material behavior.

Main Methods:

  • Developed a constitutive model incorporating electric field effects into both equilibrium and viscous strain energy components.
  • Formulated governing equations in logarithmic strain space, additively decomposing strain into elastic and viscous parts.
  • Implemented the model within a geometrically nonlinear finite element framework and performed parametric studies.

Main Results:

  • The model demonstrates that electric fields significantly alter the relaxation and hysteresis behavior of EAPs.
  • Parametric studies show the model's sensitivity to electro-viscous coupling parameters.
  • Simulations of actuator structures validate the model's performance in relaxation and creep scenarios.

Conclusions:

  • The developed constitutive model effectively captures the electro-viscoelasticity of electronic EAPs.
  • The model provides a valuable design tool for micro-electro-mechanical systems, microfluidic devices, and artificial muscle applications.
  • Accurate modeling of electro-viscous coupling is essential for predicting EAP performance.