Asymptotically accurate nonlinear analysis of electro elastomer membrane structures is carried out using Variational
Asymptotic Method (VAM) with moderate strains and very small thickness-to-wavelength ratio as small
parameters. Present work incorporates large deformations (displacements and rotations), material nonlinearity
(hyper elasticity), and electrical effects. It begins with 3-D electro-elastic energy and mathematically splits the
analysis into a 1-D through-the-thickness analysis and a 2-D membrane analysis. 1-D analysis provides asymptotically
equivalent of 3-D energy which in turn 2-D constitutive law is input to membrane analysis and a set
of recovery relations to approximately express the 3-D mechanical field variables in terms of two-dimensional
variables determined from solving the equations of the membrane analysis. Numerical examples are presented
to compare with existing analytical, semi-analytical and finite element solutions. Results based on this model
will be demonstrated for specific inflatable structures of aerospace and bio-mechanics applications.
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