9 April 2010 Asymptotically accurate non-linear analysis of electro-elastomer membrane structures
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Abstract
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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Burela Ramesh Gupta, Burela Ramesh Gupta, Dineshkumar Harursampath, Dineshkumar Harursampath, Sujoy Mukherjee, Sujoy Mukherjee, } "Asymptotically accurate non-linear analysis of electro-elastomer membrane structures", Proc. SPIE 7642, Electroactive Polymer Actuators and Devices (EAPAD) 2010, 764210 (9 April 2010); doi: 10.1117/12.848733; https://doi.org/10.1117/12.848733
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