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A Dynamic Finite Element Method for Inhomogeneous Deformation and Electromechanical Instability of Dielectric Elastomers

Harold S. Park's picture

We present a three-dimensional nonlinear finite
element formulation for dielectric elastomers.  The mechanical and electrical governing equations are solved
monolithically using an implicit time integrator, where the governing finite
element equations are given for both static and dynamic cases.  By accounting for inertial terms in
conjunction with the Arruda-Boyce rubber hyperelastic constitutive model, we demonstrate
the ability to capture the various modes of inhomogeneous deformation,
including pull-in instability and wrinkling, that may result in dielectric
elastomers that are subject to various forms of electrostatic loading.  The formulation presented here forms
the basis for needed computational tools that can elucidate the
electromechanical behavior and properties of dielectric elastomers that are
used for engineering applications.

 <http://dx.doi.org/10.1016/j.ijsolstr.2012.04.031>

 

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